Statistical Representation of Data

295 Practice MCQs available for CA Foundation

Paper

Paper 3: Quantitative Aptitude

Exam Weightage

2-4 Marks

Key Topics

Data, Frequency Distribution, Graphical Representation

This chapter covers Data, Frequency Distribution, Graphical Representation and is part of Paper 3: Quantitative Aptitude in the CA Foundation exam.

Exam Strategy Tip

This topic carries 2-4 Marks weightage. Focus on understanding core concepts rather than memorizing.

Key Terms

Correlation

A statistical measure that expresses the extent to which two variables are linearly related.

Regression

A statistical method used for estimating the relationships between a dependent variable and one or more independent variables.

Index Number

A statistical device for measuring changes in the magnitude of a group of related variables (like prices or production) over time.

Comparison Tables

Mean vs Median vs Mode: Measures of Central TendencyCondition vs Warranty: Sale of Goods Act Guide

All 295 Questions

2693
Mode can be obtained from________
MCQ
2703
The modes of presentation of data are:
MCQ
2733
The distribution of income is an example of frequency distribution of
MCQ
2707
In a frequency distribution, the relative frequency of the class is:
MCQ
2699
Histogram can be drawn when
MCQ
2698
Less than ‘o’give curve give
MCQ
2718
For frequency distribution and time series which form of presentation is rarely used.
MCQ
2768
A student makes in five subject S1,S2,S3,S4\displaystyle S1, S2, S3, S4 and S5\displaystyle S5 are 86,79,90,88\displaystyle 86, 79, 90, 88 and 89\displaystyle 89. If we need to draw a Pie chart to represent these markers, then what will be the Central angle for S3\displaystyle S3.
MCQ
2798
What is the chance of picking a spade or an ace not of spade from a pack of 52 cards?
MCQ
2741
Histogram is used for finding:
MCQ
2791
What is the purpose of stratified random sampling?
MCQ
2801
If a card is drawn at random from a pack of cards, what is the chance of getting a Spade or an ace?
MCQ
2831
In connection with random experiment, it is found that P(A)=23\displaystyle P(A) = \frac{2}{3}, P(B)=35\displaystyle P(B) = \frac{3}{5} and P(A∪B)=56\displaystyle P(A \cup B) = \frac{5}{6}. Find P(A′∩B′)\displaystyle P(A' \cap B')
MCQ
2840
If a random variable X\displaystyle X has the following probability distribution, then the expected value of X\displaystyle X is: | X | -1 | -2 | 0 | 1 | 2 | 3 ||---|---|---|---|---|---|---|| P(X) | \frac{1}{3} | \frac{1}{6} | \frac{1}{5} | \frac{1}{6} | \frac{1}{3} | \frac{1}{3} |
MCQ
2784
In a study relating to the laborer's of a jute mill in West Bengal, the following information was collected. Twenty per cent of the total employees were females and forty per cent of them were married. Thirty female workers were not members of Trade Union. Compared to this, out of 600\displaystyle 600 male workers, 500\displaystyle 500 were members of Trade Union and fifty per cent of the male workers were married. The unmarried non-member male employees were 60\displaystyle 60 which formed ten per cent of the total male employees. The unmarried non-members of the employees were 80\displaystyle 80. On the basis of this information, the ratio of married male non-members to the married female non-members is
MCQ
2695
Which of the following is suitable for the graphical representation of a Cumulative frequency distribution?
MCQ
2725
A frequency distribution
MCQ
2745
Median of a distribution can be obtained from:
MCQ
2775
Find the number of observations between 250\displaystyle 250 and 300\displaystyle 300 from the following dataValue | More than 200\displaystyle 200 | More than 250\displaystyle 250 | More than 300\displaystyle 300 | More than 350\displaystyle 350No of observation | 56\displaystyle 56 | 38\displaystyle 38 | 15\displaystyle 15 | 0\displaystyle 0
MCQ
2712
A histogram and a pie chart represents the same data on monthly expenses of a household. Which statement is most likely true?
MCQ
2762
In a graphical representation of data, the largest numerical value is 45\displaystyle 45 the smallest numerical value is 25\displaystyle 25. If classes desired are 4\displaystyle 4 then which class interval is
MCQ
2720
Ogive is also called as
MCQ
2770
The following data relate to the marks of 48\displaystyle 48 students in Statistics:56\displaystyle 56 10\displaystyle 10 58\displaystyle 58 38\displaystyle 38 21\displaystyle 21 43\displaystyle 43 12\displaystyle 12 \displaystyle 22<span class="katex-error" title="ParseError: KaTeX parse error: Can&#x27;t use function &#x27;' in math mode at position 3: 48\displaystyle ̲51\displaystyle 39\displaystyle 24\displaystyle …" style="color:#cc0000">48 51\displaystyle 51 39\displaystyle 39 24\displaystyle 24 17\displaystyle 17 36\displaystyle 36 19</span>48\displaystyle 19</span>48 36\displaystyle 36 15\displaystyle 15 33\displaystyle 33 30\displaystyle 30 62\displaystyle 62 57\displaystyle 57 \displaystyle 17<span class="katex-error" title="ParseError: KaTeX parse error: Can&#x27;t use function &#x27;' in math mode at position 2: 5\displaystyle ̲17\displaystyle 45\displaystyle 46\displaystyle …" style="color:#cc0000">5 17\displaystyle 17 45\displaystyle 45 46\displaystyle 46 43\displaystyle 43 55\displaystyle 55 57\displaystyle 57 38</span>43\displaystyle 38</span>43 28\displaystyle 28 32\displaystyle 32 35\displaystyle 35 54\displaystyle 54 27\displaystyle 27 17\displaystyle 17 16\displaystyle 1611\displaystyle 11 43\displaystyle 43 45\displaystyle 45 2\displaystyle 2 16\displaystyle 16 46\displaystyle 46 28\displaystyle 28 45\displaystyle 45What are the frequency densities for the class intervals 20−30,30−40,40−50,50−59\displaystyle 20-30, 30-40, 40-50, 50-59?
MCQ
2780
Salaries of employees working in ABC is as follows:Salary | Below 10\displaystyle 10 | Below 20\displaystyle 20 | Below 30\displaystyle 30 | Below 40\displaystyle 40 | Below 50\displaystyle 50 | Below 60\displaystyle 60 | Below 70\displaystyle 70 | Below 80\displaystyle 80 | Below 90\displaystyle 90 | Below 100\displaystyle 100---|---|---|---|---|---|---|---|---|---|---No. of employees | 28\displaystyle 28 | 34\displaystyle 34 | 65\displaystyle 65 | 84\displaystyle 84 | 123\displaystyle 123 | 150\displaystyle 150 | 170\displaystyle 170 | 185\displaystyle 185 | 190\displaystyle 190 | 200\displaystyle 200Find the no. of employees with salaries more than 50K\displaystyle 50K?
MCQ
2810
From a bag containing 4 red, 5 blue and 6 white caps, two caps are drawn without replacement. What is the probability that the caps are of different colours?
MCQ
2706
In a cumulative frequency curve, what is represented on the Y-axis?
MCQ
2716
Series in which frequencies are continuously added corresponding to each class interval in the series:
MCQ
2756
From the following data 73,72,65,41,54,80,50,46,49,53\displaystyle 73, 72, 65, 41, 54, 80, 50, 46, 49, 53, find the number of class intervals if class length is given as 5\displaystyle 5
MCQ
2766
Median of a distribution can be obtained from -
MCQ
2835
The theory of compound probability states that for any two events A and B:
MCQ
2845
From the following probability distribution table, find E(x)\displaystyle E(x)x | 1 | 2 | 3f(x): | 12\displaystyle \frac{1}{2} | 13\displaystyle \frac{1}{3} | 16\displaystyle \frac{1}{6}
MCQ
2709
A perpendicular drawn from the point of intersection of two Ogive on the horizontal axis given the value of
MCQ
2729
Mode of a distribution can be obtained from
MCQ
2749
_______ Series is continuous.
MCQ
2819
Rupesh is known to hit a target in 5 out of 9 shots whereas David is known to hit the same target in 6 out of 11 shots. What is the probability that the target would be hit once they both try?
MCQ
2727
The difference between the upper and lower limit of a class is called
MCQ
2737
The following frequency distribution: x | 12 | 17 | 24 | 36 | 45 f | 2 | 5 | 3 | 9 | 8 is classified as-
MCQ
2747
An Ogive is a graphical representation of:
MCQ
2757
The number of observations between 150\displaystyle 150 and 200\displaystyle 200 based on the following data is:Value | No of observations--- | ---More than 100\displaystyle 100 | 70\displaystyle 70More than 150\displaystyle 150 | 63\displaystyle 63More than 200\displaystyle 200 | 28\displaystyle 28More than 250\displaystyle 250 | 05\displaystyle 05
MCQ
2777
The following data relates to the incomes of 90\displaystyle 90 persons:Income in ₹ | 1500−1999\displaystyle 1500-1999 | 2000−2499\displaystyle 2000-2499 | 2500−2999\displaystyle 2500-2999 | 3000−3499\displaystyle 3000-3499No. of persons | 13\displaystyle 13 | 32\displaystyle 32 | 20\displaystyle 20 | 25\displaystyle 25Which is the percentage of persons earning more than ₹2000\displaystyle 2000?
MCQ
2797
Three balls are drawn at random from a bag containing 6 blue and 4 red balls. What is the chance that 2 balls are blue and 1 is red?
MCQ
2817
The probability that an Accountant's job applicant has a B. Com. Degree is 0.85\displaystyle 0.85, that he is a CA is 0.30\displaystyle 0.30 and that he is both B. Com. and CA is 0.25\displaystyle 0.25 out of 500\displaystyle 500 applicants, how many would be B. Com. or CA?
MCQ
2753
Perpendicular is drawn from the point of intersection of 2 Ogives on the horizontal axis. The value of it denotes:
MCQ
2803
One card is drawn from a pack of 52, what is the probability that is a king or queen?
MCQ
2813
What is the chance of throwing at least 7 in a single cast with 2 dice?
MCQ
2823
A candidate is selected for interview for 3\displaystyle 3 posts. For the first there are 3\displaystyle 3 candidates, for second there are 4\displaystyle 4 and for third there are 2\displaystyle 2. What are the chances of his getting at least one post?
MCQ
2852
Daily demand for calculators is having the following probability distribution:Demand | Probability1 | 0.102 | 0.153 | 0.204 | 0.255 | 0.186 | 0.12Determine the variance of the demand.
MCQ
2808
Let P be a probability function on S={X1,X2,X3}\displaystyle S = \{X1, X2, X3\} If P(X1)=14\displaystyle P(X1)=\frac{1}{4} and P(X3)=13\displaystyle P(X3) = \frac{1}{3} then P(X2)\displaystyle P(X2) is
MCQ
2827
A machine is made of two parts A and B. The manufacturing process of each part is such that probability of defective in part A is 0.08\displaystyle 0.08 and that B is 0.05\displaystyle 0.05. What is the probability that the assembled part will not have any defect?
MCQ
4060
The mode of a continuous frequency distribution can be determined graphically from
MCQ
4061
Frequency density corresponding to a class interval for the continuous frequency distribution, is the ratio of
MCQ
4062
The curve obtained by joining the points, whose X co-ordinates are the upper limits of the class intervals and Y co-ordinates are corresponding cumulative frequencies, is called
MCQ
4063
The following data relate to the wages of a group of workers: Wages (in ₹) Below 100 is 15, Below 200 is 38, Below 300 is 65, Below 400 is 90. How many workers got wages more than 300?
MCQ
4064
The law of statistical regularity says that
MCQ
4065
A population comprises 5 members. The number of possible samples of size 2, that can be drawn from it with replacement is
MCQ
4066
Which of the following statements about simple random sampling is NOT true?
MCQ
4067
A frequency curve which starts with a minimum frequency and then gradually reaches its maximum frequency at the other extremity is known as
MCQ
4068
In tabulation, source of data, if any, is shown in the
MCQ
4160
Sampling method which belongs to the category of Mixed sampling is
MCQ
4161
Number of students in a college is an example of
MCQ
4162
For manifold classification, this method of presentation of data cannot be recommended:
MCQ
4163
The most commonly used distribution is ______ in which the maximum frequency is at the central part and the frequency decreases when one moves away from the central part on either the left side or the right side.
MCQ
4164
Which of the followings is not a basic principle of sample survey?
MCQ
4165
After a singing competition on a live TV show, the winner is selected according to the number of likes each candidate has received on a messaging app. This method of data collection is known as ____________ sampling.
MCQ
4166
A bar chart can be drawn for the data having numbers on
MCQ
4167
An investigator collects information on salaries received by 1000 persons. From this collection, the data on women are extracted. Now the data is called ________ data.
MCQ
4168
Two sales-persons present their numbers of sales per week for a month. An appropriate diagram that can be drawn for this data is
MCQ
4226
A market researcher divides a city into 5 regions, where variation within region is little and there is a maximum variation between regions and randomly selects 100 households from each region for a survey. This sampling method is known as:
MCQ
4227
Frequency density of a class interval may be defined as the ratio of
MCQ
4229
During the tabular presentation of data, ______ is the entire upper part of table which includes columns and sub-column numbers, unit(s) of the measurement along with caption.
MCQ
4230
This type of sampling method depends entirely on the discretion or judgement of the sampler
MCQ
4231
Which of the following sampling methods is completely free from sampler's biases
MCQ
4232
The diagrammatic representation of the cumulative frequency distribution is:
MCQ
4281
According to the ______, if a sample of fairly large size is drawn from the population under discussion at random, then on an average the sample would possess the characteristics of that population.
MCQ
4282
On ______ the frequency, starting from a rather low value, gradually reaches the maximum value, somewhere near the central part and then gradually decreases to reach its lowest value at the other extremity.
MCQ
4283
In the Stratified Sampling, When the strata-variances differ significantly among themselves, we take recourse to "Neyman's allocation" where:
MCQ
4360
The mode of a continuous frequency distribution can be determined graphically from
MCQ
4361
Frequency density corresponding to a class interval for the continuous frequency distribution, is the ratio of
MCQ
4362
The curve obtained by joining the points, whose X co-ordinates are the upper limits of the class intervals and Y co-ordinates are corresponding cumulative frequencies, is called
MCQ
4363
The following data relate to the wages of a group of workers: Wages (in ₹) Below 100 is 15, Below 200 is 38, Below 300 is 65, Below 400 is 90. How many workers got wages more than 300?
MCQ
4364
The law of statistical regularity says that
MCQ
4365
A population comprises 5 members. The number of possible samples of size 2, that can be drawn from it with replacement is
MCQ
4366
Which of the following statements about simple random sampling is NOT true?
MCQ
4367
A frequency curve which starts with a minimum frequency and then gradually reaches its maximum frequency at the other extremity is known as
MCQ
4368
In tabulation, source of data, if any, is shown in the
MCQ
4460
Sampling method which belongs to the category of Mixed sampling is
MCQ
4461
Number of students in a college is an example of
MCQ
4462
For manifold classification, this method of presentation of data cannot be recommended:
MCQ
4463
The most commonly used distribution is ______ in which the maximum frequency is at the central part and the frequency decreases when one moves away from the central part on either the left side or the right side.
MCQ
4464
Which of the followings is not a basic principle of sample survey?
MCQ
4465
After a singing competition on a live TV show, the winner is selected according to the number of likes each candidate has received on a messaging app. This method of data collection is known as ____________ sampling.
MCQ
4466
A bar chart can be drawn for the data having numbers on
MCQ
4467
An investigator collects information on salaries received by 1000 persons. From this collection, the data on women are extracted. Now the data is called ________ data.
MCQ
4468
Two sales-persons present their numbers of sales per week for a month. An appropriate diagram that can be drawn for this data is
MCQ
4526
A market researcher divides a city into 5 regions, where variation within region is little and there is a maximum variation between regions and randomly selects 100 households from each region for a survey. This sampling method is known as:
MCQ
4527
Frequency density of a class interval may be defined as the ratio of
MCQ
4529
During the tabular presentation of data, ______ is the entire upper part of table which includes columns and sub-column numbers, unit(s) of the measurement along with caption.
MCQ
4530
This type of sampling method depends entirely on the discretion or judgement of the sampler
MCQ
4531
Which of the following sampling methods is completely free from sampler's biases
MCQ
4532
The diagrammatic representation of the cumulative frequency distribution is:
MCQ
4581
According to the ______, if a sample of fairly large size is drawn from the population under discussion at random, then on an average the sample would possess the characteristics of that population.
MCQ
4582
On ______ the frequency, starting from a rather low value, gradually reaches the maximum value, somewhere near the central part and then gradually decreases to reach its lowest value at the other extremity.
MCQ
4583
In the Stratified Sampling, When the strata-variances differ significantly among themselves, we take recourse to "Neyman's allocation" where:
MCQ
2616
Statistics cannot deal with ______ data.
MCQ
2615
The average of salaries in a factory is 47,000\displaystyle 47,000. The statement that the average salary 47,000\displaystyle 47,000 is
MCQ
2612
Divided bar chart is considered for
MCQ
2613
Data are said to be ______ if the investigator himself is responsible for the collection of the data.
MCQ
2614
A suitable graph for representing the portioning of total into sub parts in statistics is:
MCQ
2684
Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50Freq. | 4 | 6 | 20 | 8 | 3For the class 20-30. Cumulative frequency is:
MCQ
2627
Sweetness of a sweet dish is:
MCQ
2618
Census reports are used as a source of ______ data.
MCQ
2619
You are an auditor of a firm and the firm earns a profit of 67,000\displaystyle 67,000 you stated to them that the annual profit is 67,000\displaystyle 67,000. This is _ type of statistics.
MCQ
2620
The ______ are used usually when we wants to examine the relationship between two variables.
MCQ
2621
When data are classified according to one criterion, then it is called ______ classification.
MCQ
2622
A bar chart is drawn for
MCQ
2623
A tabular presentation can be used for
MCQ
2624
A variable with qualitative characteristic is
MCQ
2625
The accuracy and consistency of data can be verified by
MCQ
2626
The left part of a table providing the description of rows is called.
MCQ
3972
Sweetness of sweet dish is.
MCQ
2628
______ means separating items according to similar characteristics grouping them into various classes:
MCQ
2629
In graphical representation of data, ideographs are also called as:
MCQ
2630
A graph that uses vertical bars to represent data is called a:
MCQ
2631
In a graphical representation of data, the largest numerical value is 45\displaystyle 45, the smallest numerical value is 25\displaystyle 25. If classes desired are 4\displaystyle 4 then which class interval is:-
MCQ
2632
Data collected on religion from the census reports are:
MCQ
2633
Which of the following diagram is the most appropriate to represents various heads in total cost?
MCQ
2634
A national institute arranged its student's data in accordance with different states. This arrangement of data is known as:
MCQ
2635
Multiple axis line chart is considered when
MCQ
2636
If data is collected from a census Report. What type of data it is:-
MCQ
2637
Sweetness is an
MCQ
2638
Which of the following is not a way of Presenting data?
MCQ
2639
Which of the following does not form characteristics in dividing the data?
MCQ
2640
Which one is research data?
MCQ
2685
Which of the following graph is suitable for cumulative frequency distribution?
MCQ
2641
Which one of the following is a source of primary data?
MCQ
2642
Which is the left part of table providing description of the rows?
MCQ
2643
The share holding pattern of ABC Ltd. is as follows:Share holdersNo. of shares in MillionsPromoter120FII40DII20Govt20Public15What is the difference between central angles (in degree) for shares held by Promoters and Public, in pie chart?
MCQ
2644
The following is the data related to the daily income of 86\displaystyle 86 persons:income in ₹No. of persons:500-999151000-1499281500-1999362000-24997What is the percentage of persons earning at least 1,500\displaystyle 1,500 per day?
MCQ
2645
For tabulation, 'caption' is
MCQ
2646
The secondary data is collected by:
MCQ
2647
Exit polls are an example of which method of collecting data?
MCQ
2648
Numerical data presented in descriptive form are called:
MCQ
2649
What type of data is most appropriate for representing using a Pie-chart?
MCQ
2650
The technique of graphic presentation is extremely helpful in which of the following
MCQ
2651
Statistics Analyses:
MCQ
2652
Statistics is applied in
MCQ
2653
The primary data are collected by
MCQ
2654
The best method to collect data, in case of a natural calamity, is
MCQ
2655
'Stub' of a table is the
MCQ
2686
Histogram can be shown as
MCQ
2656
Statistics is concerned with
MCQ
2657
'Stub' of a table is the ________ part of the table describing the
MCQ
2658
The entire upper part of a table is known as
MCQ
2659
The number of times a particular item occurs in a given data is called its
MCQ
2660
The most appropriate diagram to represent the data relating to the monthly expenditure on different items by a family is ?
MCQ
2661
The best method to collect data in case of natural calamity is
MCQ
2662
Which of the following is not an example of continuous variable?
MCQ
2663
Data are said to be ________ if the investigator himself is responsible for the collection of data.
MCQ
2664
The cost of sugar in a month under the heads of raw Materials, labor, direct production, and others were 12,20,35\displaystyle 12, 20, 35 and 23\displaystyle 23 units respectively. What is the difference between the central angles for the largest and smallest components of the cost of sugar?
MCQ
2665
A suitable graph for representing the portioning of total into sub parts in statistics is
MCQ
2666
The most accurate mode of data presentation is:
MCQ
2667
Which is the left part of the table providing the description of the rows?
MCQ
2668
When data are classified according one criterion, then it is called ________ classification
MCQ
2669
Census report are used as source of secondary data.
MCQ
2670
A student marks in five subjects 53,54,55,84\displaystyle 53, 54, 55, 84 and 89\displaystyle 89 are 86,79,90,88\displaystyle 86, 79, 90, 88 and 89\displaystyle 89. If we need to draw a pie chart to represent these marks, what will be central angle for 53\displaystyle 53.
MCQ
2671
100\displaystyle 100 students are classified into male/female and graduate/non-graduate classes. This data classification is
MCQ
2672
Which of the following statement is true?
MCQ
2673
In tabulation, source of data, if any is shown in the
MCQ
2674
Data collected on religion from the census reports
MCQ
2675
________ is the entire upper part of the table which includes columns and sub-column numbers, unit(s) measurement.
MCQ
2676
'Stub' of a table is the ________ part of the table describing the ________.
MCQ
2677
The pair of averages whose value can be determined graphically.
MCQ
2687
Series is continuous.
MCQ
2678
The following set of data cannot be presented in a table
MCQ
2679
Frequency density is used in the construction of
MCQ
2680
Following frequency distribution is classified asX | 12 | 17 | 24 | 36 | 45F | 2 | 5 | 3 | 8 | 9
MCQ
2681
Histogram is useful to determine graphically the value of
MCQ
2682
The number of times a particular items occurs in a class interval is called its:
MCQ
2683
An ogive is a graphical representation of
MCQ
2688
Ogive graph is used for finding
MCQ
2689
Histogram is used for finding
MCQ
2690
The graphical representation of cumulative frequency distribution is called.
MCQ
2691
Types of cumulative frequencies are:
MCQ
2692
From a histogram one cannot compute the approximate value of
MCQ
2694
Most of the Commonly used distributions provide
MCQ
2696
Frequency density of a class interval is the ratio of
MCQ
2697
Ogive curves are used to determine
MCQ
2700
If the cumulative frequency are plotted on axis then which type of curve is formed
MCQ
2701
The suitable formula for computing the number of class intervals is (N\displaystyle N is total frequency)
MCQ
2702
Ogive for more than type and less than type distributions intersect at
MCQ
2790
Which of the following is not a type of sampling?
MCQ
2704
The frequency of visitor in an office is given below:Time | Frequency9 AM-11 AM | 511 AM-1 PM | 181 PM-3 PM | 73 PM-5 PM | 12Find the cumulative frequency of visitors for the time 11AM – 1PM?
MCQ
2705
By plotting cumulative frequency against the respective class boundary, we get
MCQ
2711
Two frequency distributions are given to you. To compare them visually, the best diagram to be drawn on the same sheet is
MCQ
2708
Frequency density corresponding to a class interval is ratio of:
MCQ
2710
A less than ogive curve is drawn by plotting
MCQ
2713
An ogive is used to represent:
MCQ
2714
The Ogive can be used for making
MCQ
2715
The distribution of commuters coming to a Metro station from early morning hours to peak morning hours follows which type of frequency curve?
MCQ
2717
If the class intervals of certain data are 10−14,15−19,20−24\displaystyle 10-14, 15-19, 20-24, then the first class boundaries is
MCQ
2719
Frequency Polygon is meant for ------frequency distribution
MCQ
2721
There are ______ types of frequency curves
MCQ
2722
The J shaped curve starts with a ______ frequency
MCQ
2723
Mid values are also called
MCQ
2724
Pie-diagram is used for
MCQ
2726
The pair of averages whose value can be determined graphically?
MCQ
2728
What is exclusive Series
MCQ
2730
Frequency density is used in the construction of:
MCQ
2731
The difference between upper limit and lower limit of a class is called
MCQ
2732
Median of a distribution can be obtained from
MCQ
2734
Histogram is used for presentation of the following type of series
MCQ
2735
The graphical representation of cumulative frequency distribution is called-
MCQ
2736
The difference between upper limit and lower limit of a class is called:
MCQ
2761
According to the empirical rule, if the data form a "bell-shaped" distribution, then the maximum and minimum frequencies occur at ______ and ______ respectively.
MCQ
2738
The curve obtained by joining the points, whose x\displaystyle x-coordinates are the upper limits of the class-intervals and y\displaystyle y coordinates are corresponding cumulative frequencies is called
MCQ
2739
For the non-overlapping classes 0−19\displaystyle 0-19, 20−39\displaystyle 20-39, 40−59\displaystyle 40-59 the class mark of the class 0−19\displaystyle 0-19 is
MCQ
2740
For open-end classification, which of the following is the best measure of central tendency?
MCQ
2742
Relative frequency for a particular class lies between:
MCQ
2743
Less than type and more than type Ogives meet at a point known as:
MCQ
2744
The distribution of profits of a company follows:
MCQ
2746
Frequency density corresponding to a class interval is the ratio of
MCQ
2748
Histogram can be shown as:
MCQ
2750
Ogive graph is used for finding:
MCQ
2751
Histogram is useful to determine graphically the value of:
MCQ
2752
Ogive for more than type and less than distributions intersect at
MCQ
2754
In study of impact of novel Coronavirus in the world, a frequency graph is plotted for age on the x\displaystyle x axis and fatalities on the y\displaystyle y axis. Which frequency curve is most expected as the output?
MCQ
2755
The graphical representation of Median is calculated:
MCQ
2758
If the width of each of ten classes in a frequency distribution is 2.5\displaystyle 2.5 and the lower class boundary is 5.1\displaystyle 5.1, then the upper class boundary of the highest class is
MCQ
2759
Let L\displaystyle L be the lower class boundary of a class in a frequency distribution and m\displaystyle m be the mid point of the class. Which one of the following is the higher class boundary of the class?
MCQ
2760
An Ogive can be prepared in ______ different ways.
MCQ
2774
Let L\displaystyle L be the lower class boundary of a class in a frequency distribution and m\displaystyle m be the midpoint of the class. Which one of the following is the higher class boundary of the class?
MCQ
2763
Which of the following is suitable for cumulative frequency distribution?
MCQ
2764
The following data relate to the marks of group of students:Marks | No of students--- | ---Below 10\displaystyle 10 | 15\displaystyle 15Below 20\displaystyle 20 | 38\displaystyle 38Below 30\displaystyle 30 | 65\displaystyle 65Below 40\displaystyle 40 | 84\displaystyle 84Below 50\displaystyle 50 | 100\displaystyle 100How many students got marks more than 30\displaystyle 30?
MCQ
2765
The profitability of a blue-chip company is showed by ______.
MCQ
2767
There are 200\displaystyle 200 employees in an office in which 150\displaystyle 150 were married. Total male employees were 160\displaystyle 160 out of which 120\displaystyle 120 were married. What was the number of female unmarried employees?
MCQ
2769
The following data relate to the marks of a group of students:Marks | <10\displaystyle <10 | <20\displaystyle <20 | <30\displaystyle <30 | <40\displaystyle <40 | <50\displaystyle <50--- | --- | --- | --- | --- | ---No. of students | 15\displaystyle 15 | 38\displaystyle 38 | 65\displaystyle 65 | 84\displaystyle 84 | 100\displaystyle 100How many students got marks more than 30\displaystyle 30?
MCQ
2771
The profitability of a blue chip company is shown by ______.
MCQ
2772
Consider the following data where class length is given as 5\displaystyle 5. Calculate the number of class intervals 59,68,78,57,44,73,40,60,70,47\displaystyle 59, 68, 78, 57, 44, 73, 40, 60, 70, 47.
MCQ
2773
The width of each of ten classes in a frequency distribution is 2.5\displaystyle 2.5 and the lower class boundary of the lowest class is 10.6\displaystyle 10.6. Which one of the following is the upper class boundary of the highest class?
MCQ
2776
The following data relate to the marks of a group of students:Marks | Below 10\displaystyle 10 | Below 20\displaystyle 20 | Below 30\displaystyle 30 | Below 40\displaystyle 40 | Below 50\displaystyle 50No of students | 15\displaystyle 15 | 38\displaystyle 38 | 65\displaystyle 65 | 84\displaystyle 84 | 100\displaystyle 100How many students got marks more than 30\displaystyle 30?
MCQ
2778
The number of accidents for seven days in a locality are given below:No. of accidents | 0\displaystyle 0 | 1\displaystyle 1 | 2\displaystyle 2 | 3\displaystyle 3 | 4\displaystyle 4 | 5\displaystyle 5 | 6\displaystyle 6Frequency | 15\displaystyle 15 | 25\displaystyle 25 | 30\displaystyle 30 | 9\displaystyle 9 | 3\displaystyle 3 | 2\displaystyle 2 | 1\displaystyle 1What is the number of cases when 3\displaystyle 3 or less accidents occurred?
MCQ
2779
No. of accidents | Frequency---|---0\displaystyle 0 | \displaystyle 36<span class="katex-error" title="ParseError: KaTeX parse error: Can&#x27;t use function &#x27;' in math mode at position 2: 1\displaystyle ̲ |27" style="color:#cc0000">1∣\displaystyle |272∣\displaystyle |33\displaystyle &#x27; in math mode at position 2: 3̲ | \displaystyle 29" style="color:#cc0000">3 | 29</span>4\displaystyle 29</span>4 | \displaystyle 24<span class="katex-error" title="ParseError: KaTeX parse error: Can&#x27;t use function &#x27;' in math mode at position 2: 5\displaystyle ̲ |22" style="color:#cc0000">5∣\displaystyle |226∣\displaystyle |18$7\displaystyle 7 | 9\displaystyle 9In how many cases 5\displaystyle 5 or more accidents occur?
MCQ
2781
The following data relate to the incomes of 86\displaystyle 86 persons:Income | 500−999\displaystyle 500-999 | 1000−1499\displaystyle 1000-1499 | 1500−1999\displaystyle 1500-1999 | 2000−2499\displaystyle 2000-2499---|---|---|---|---Freq | 15\displaystyle 15 | 28\displaystyle 28 | 36\displaystyle 36 | 7\displaystyle 7What is the percentage of persons earning more than ₹1500\displaystyle 1500?
MCQ
2782
The following data relate to the marks of a group of students:Marks | <10\displaystyle <10 | <20\displaystyle <20 | <30\displaystyle <30 | <40\displaystyle <40 | <50\displaystyle <50---|---|---|---|---Freq | 15\displaystyle 15 | 38\displaystyle 38 | 65\displaystyle 65 | 84\displaystyle 84 | 100\displaystyle 100How many students got marks more than 30\displaystyle 30?
MCQ
2783
Cost of sugar in a month under the heads raw Materials, labour, direct production and others were 12,20,35\displaystyle 12, 20, 35 and 23\displaystyle 23 units respectively. What is the diff. between the central angles for the largest and smallest components of the cost of sugar?
MCQ
2789
Which sampling is based on the discretion of the sampler?
MCQ
2785
The frequency of the Class 20−30\displaystyle 20-30 isMarks | 0−10\displaystyle 0-10 | 10−20\displaystyle 10-20 | 20−30\displaystyle 20-30 | 30−40\displaystyle 30-40 | 40−50\displaystyle 40-50---|---|---|---|---|---Freq | 5\displaystyle 5 | 13\displaystyle 13 | 28\displaystyle 28 | 34\displaystyle 34 | 38\displaystyle 38
MCQ
2786
There were 200\displaystyle 200 employees in an office in which 150\displaystyle 150 were married. Total male employees were 160\displaystyle 160 out of which 120\displaystyle 120 were married. What was the female unmarried employees?
MCQ
2787
From the following data, cumulative frequency for the class 20−30\displaystyle 20-30 isClass | 0−10\displaystyle 0-10 | 10−20\displaystyle 10-20 | 20−30\displaystyle 20-30 | 30−40\displaystyle 30-40 | 40−50\displaystyle 40-50---|---|---|---|---|---Freq | 4\displaystyle 4 | 6\displaystyle 6 | 20\displaystyle 20 | 8\displaystyle 8 | 3\displaystyle 3
MCQ
2788
There were 200\displaystyle 200 employees in an office in which 150\displaystyle 150 were married. Total male employees were 160\displaystyle 160 out of which 120\displaystyle 120 were married. What was the number of female unmarried employees?
MCQ
2792
If from a population with 25 members, a random sample without replacement of 5 members is taken, the number of all such samples is
MCQ
2793
If two letters are taken at random from the word HOME, what is the Probability that none of the letters would be vowels?
MCQ
2794
From a bag containing 10 black and 20 white balls, a ball is drawn at random. What is the probability that is black?
MCQ
2795
If a card is drawn at random from a pack of 52 cards, what is the chance of getting a Spade or an ace?
MCQ
2796
If one card is drawn at random from a pack of playing cards; find the probability it is neither a hearts nor a club:
MCQ
2799
What is the probability of getting neither total of 7 nor 11 when the pair of dice is tossed?
MCQ
2800
In a non-leap year, the probability of getting 53 Sundays or 53 Tuesday or 53 Thursday is:
MCQ
2802
A card is drawn from a pack of playing cards at random. What is the probability that the card drawn a king or red colour?
MCQ
2804
The probability that a leap year has 53 Wednesday is:
MCQ
2805
A coin is tossed six times, then the probability of obtaining heads and tails alternately is
MCQ
2806
Two different dice are thrown simultaneously, then the probability, that the sum of two numbers appearing on the top of dice 9 is
MCQ
2807
Following are the wages of 8 workers in rupees: 50, 62, 40, 70, 45, 56, 32, 45. If one of the workers is selected at random, what is the probability that his wage would be lower than the average wage?
MCQ
2809
In a non-leap year, the probability of getting 53 Sundays or 53 Tuesdays, or 53 Thursdays is:
MCQ
2811
If an unbiased die is rolled once, odds in favour of getting a point which is a multiple of 3 is
MCQ
2812
A, B, C are three mutually independent with probabilities 0.3\displaystyle 0.3, 0.2\displaystyle 0.2 and 0.4\displaystyle 0.4 respectively. What is P(A∩B∩C)\displaystyle P(A \cap B \cap C)?
MCQ
2814
If two events A and B are independent, the probability that both will occur is given by
MCQ
2815
The probability that a person travels by a plane is 15\displaystyle \frac{1}{5} and that he travels by train is 23\displaystyle \frac{2}{3}. Find the probability of his traveling neither by plane nor by train?
MCQ
2816
If P(A)=1\displaystyle P(A) = 1 and P(B)=13\displaystyle P(B) = \frac{1}{3} then P(A/B)=\displaystyle P(A/B) =
MCQ
2821
In connection with a random experiment, it is found that P(A)=23\displaystyle P(A) = \frac{2}{3}, P(B)=35\displaystyle P(B) = \frac{3}{5} and P(A∪B)=56\displaystyle P(A \cup B) = \frac{5}{6}, find P(A/B)\displaystyle P(A/B)
MCQ
2818
A probability in statistics is given to five students A, B, C, D and E. Their chances of is 12\displaystyle \frac{1}{2}, 13\displaystyle \frac{1}{3}, 14\displaystyle \frac{1}{4}, 15\displaystyle \frac{1}{5}, 16\displaystyle \frac{1}{6}. What's the probability that the problem will be solved.
MCQ
2820
Given that P(A)=12\displaystyle P(A) = \frac{1}{2}, P(B)=13\displaystyle P(B) = \frac{1}{3}, P(A∩B)=14\displaystyle P(A \cap B) = \frac{1}{4}, what is P(A′/B′)\displaystyle P(A'/B')
MCQ
2822
If for two events A and B, P(A∩B)=P(A)×P(B)\displaystyle P(A \cap B) = P(A) \times P(B), then the two events A and B are
MCQ
2824
A card is drawn from a pack of playing cards and then another card is drawn without the first being replaced. What is the probability of getting two kings:
MCQ
2825
Ram is known to hit a target in 2\displaystyle 2 out of 3\displaystyle 3 shots whereas Shyam is known to hit the same target in 5\displaystyle 5 out of 11\displaystyle 11 shots. What is the probability that the target would be hit if they both try?
MCQ
2826
A class consists of 10\displaystyle 10 boys and 20\displaystyle 20 girls in which half the boys and half the girls have blue eyes. Find the probability that a student chosen random is a boy and has blue eyes.
MCQ
2828
From a deck of 52\displaystyle 52 cards, two cards are drawn at random. What is the probability that they are a king and a queen, if the cards are drawn one after the other without replacement?
MCQ
2829
In a poker set there are 90\displaystyle 90 chips numbered from 1\displaystyle 1 to 90\displaystyle 90. Dan picks 3\displaystyle 3 chips random, one after the other, without replacement. What is the probability that the numbers on the chips, in the order that the picks them are in descending order?
MCQ
2830
If P(A∩B)=0.10\displaystyle P(A \cap B) = 0.10, and P(B′)=0.80\displaystyle P(B') = 0.80, then P(A/B)\displaystyle P(A/B) is
MCQ
2832
The probability that A speaks truth is 45\displaystyle \frac{4}{5} while this probability for B is 34\displaystyle \frac{3}{4}. The probability that they contradict each other when asked to speak on a fact is
MCQ
2833
A speaks truth in 75%\displaystyle 75\% cases and B in 60%\displaystyle 60\% of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident.
MCQ
2834
P(A)=23\displaystyle P(A) = \frac{2}{3}; P(B)=35\displaystyle P(B) = \frac{3}{5}; P(A∪B)=56\displaystyle P(A \cup B) = \frac{5}{6} Find P(B/A)\displaystyle P(B/A)
MCQ
2836
The probability distribution of a random variable x\displaystyle x is given below: | X | P ||---|---|| 1 | 0.15\displaystyle 0.15 || 2 | 0.25\displaystyle 0.25 || 4 | 0.2\displaystyle 0.2 || 5 | 0.3\displaystyle 0.3 || 6 | 0.1\displaystyle 0.1 | What is the standard deviation of x\displaystyle x?
MCQ
2837
For a probability distribution, probability is given by, P(Xj)=kxj2\displaystyle P(X_j) = \frac{k}{x_j^2}, xj=1,2,…,9\displaystyle x_j = 1, 2, \dots, 9. The value of k\displaystyle k is
MCQ
2838
If two dice are rolled and one of the dice shows 1 at a point then how many such outcome can be done where it is known that its probability is 136\displaystyle \frac{1}{36} where X=\displaystyle X =
MCQ
2839
The probability distribution of x\displaystyle x is given below: | Value of x\displaystyle x | Probability: ||---|---|| 1 | p\displaystyle p || 0 | 1−p\displaystyle 1-p || Total | 1 | Mean is equal to
MCQ
2841
On a commodity exchange when booking trades with provision for stop-losses, a trader can make a profit of Rs 20,000\displaystyle \text{Rs } 20,000 or incur a loss of Rs 20,000\displaystyle \text{Rs } 20,000. The probabilities of making profit and incurring loss, from the past experience, are known to be 0.75\displaystyle 0.75 and 0.25\displaystyle 0.25 respectively. The expected profit to be made by trader should be
MCQ
2842
A random variable has the following probability distribution: | X | P ||---|---|| 2 | K\displaystyle K || 3 | 2K\displaystyle 2K || 5 | 2K\displaystyle 2K | Find K\displaystyle K.
MCQ
2843
The following table gives the cumulative probability function of X\displaystyle X: | Xi | Pr(X) ||---|---|| 0 | \frac{6}{30} || 1 | \frac{9}{30} || 2 | \frac{13}{30} || 3 | \frac{1}{15} || 4 | \frac{1}{10} || 5 | \frac{1}{30} | The expectation of X\displaystyle X is ______
MCQ
2844
Thefollowingtablegivestheexpectedvalueoffollow.distribution∣P(X)∣−20∣−10∣30∣75∣80∣∣−−−∣−−−∣−−−∣−−−∣−−−∣−−−∣∣P(X)∣320∣15∣12∣110∣120∣FindtheExpectedvalueoffollow.distribution\displaystyle The following table gives the expected value of follow. distribution | P(X) | -20 | -10 | 30 | 75 | 80 ||---|---|---|---|---|---|| P(X) | \frac{3}{20} | \frac{1}{5} | \frac{1}{2} | \frac{1}{10} | \frac{1}{20} | Find the Expected value of follow. distribution
MCQ
2846
A dice is rolled thrice, if getting a four is considered a success, find the variance of the probability distribution of number of successes
MCQ
2847
A random variable has the following probability distribution:X | P2 | K3 | 2K5 | 2KFind K
MCQ
2848
From the following probability distribution table, find E(x)\displaystyle E(x):x: | 1 | 2 | 3f(x): | 12\displaystyle \frac{1}{2} | 13\displaystyle \frac{1}{3} | 16\displaystyle \frac{1}{6}
MCQ
2849
If two random variables x\displaystyle x and y\displaystyle y are related by y=−3x+8\displaystyle y = -3x + 8, then the SD of y\displaystyle y is given by
MCQ
2850
If X\displaystyle X and Y\displaystyle Y are two random variables then V(x+y)\displaystyle V(x+y) is
MCQ
2851
If X\displaystyle X and Y\displaystyle Y are random variables having expected values as 4.5\displaystyle 4.5 and 2.5\displaystyle 2.5 respectively, then the expected value of (x−y)\displaystyle (x-y) is
MCQ

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