Statistical Description of Data

Divided bar chart is considered for

$Data are said to be ______ if the investigator himself is responsible for the collection of the data.$

A suitable graph for representing the portioning of total into sub parts in statistics is:

The average of salaries in a factory is $47,000$. The statement that the average salary $47,000$ is

$Statistics cannot deal with ______ data.$

$Census reports are used as a source of ______ data.$

You are an auditor of a firm and the firm earns a profit of $67,000$ you stated to them that the annual profit is $67,000$. This is _ type of statistics.

$The ______ are used usually when we wants to examine the relationship between two variables.$

$When data are classified according to one criterion, then it is called ______ classification.$

A bar chart is drawn for

A tabular presentation can be used for

A variable with qualitative characteristic is

The accuracy and consistency of data can be verified by

The left part of a table providing the description of rows is called.

Sweetness of sweet dish is.

Which of the following diagram is the most appropriate to represents various heads in total cost?

A national institute arranged its student's data in accordance with different states. This arrangement of data is known as:

Which one is research data?

Which one of the following is a source of primary data?

$______ means separating items according to similar characteristics grouping them into various classes:$

In graphical representation of data, ideographs are also called as:

A graph that uses vertical bars to represent data is called a:

Data collected on religion from the census reports are:

Multiple axis line chart is considered when

If data is collected from a census Report. What type of data it is:-

Sweetness is an

Which of the following is not a way of Presenting data?

Which of the following does not form characteristics in dividing the data?

Which is the left part of table providing description of the rows?

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?

The following is the data related to the daily income of $86$ persons:income in ₹No. of persons:500-999151000-1499281500-1999362000-24997What is the percentage of persons earning at least $1,500$ per day?

For tabulation, 'caption' is

The secondary data is collected by:

Exit polls are an example of which method of collecting data?

Numerical data presented in descriptive form are called:

What type of data is most appropriate for representing using a Pie-chart?

The technique of graphic presentation is extremely helpful in which of the following

Statistics Analyses:

Statistics is applied in

The primary data are collected by

The best method to collect data, in case of a natural calamity, is

'Stub' of a table is the

Statistics is concerned with

$'Stub' of a table is the ________ part of the table describing the$

The entire upper part of a table is known as

The number of times a particular item occurs in a given data is called its

The most appropriate diagram to represent the data relating to the monthly expenditure on different items by a family is ?

The best method to collect data in case of natural calamity is

Which of the following is not an example of continuous variable?

$Data are said to be ________ if the investigator himself is responsible for the collection of data.$

The cost of sugar in a month under the heads of raw Materials, labor, direct production, and others were $12, 20, 35$ and $23$ units respectively. What is the difference between the central angles for the largest and smallest components of the cost of sugar?

A suitable graph for representing the portioning of total into sub parts in statistics is

The most accurate mode of data presentation is:

Which is the left part of the table providing the description of the rows?

$When data are classified according one criterion, then it is called ________ classification$

Census report are used as source of secondary data.

A student marks in five subjects $53, 54, 55, 84$ and $89$ are $86, 79, 90, 88$ and $89$. If we need to draw a pie chart to represent these marks, what will be central angle for $53$.

$100$ students are classified into male/female and graduate/non-graduate classes. This data classification is

Which of the following statement is true?

In tabulation, source of data, if any is shown in the

Data collected on religion from the census reports

$________ is the entire upper part of the table which includes columns and sub-column numbers, unit(s) measurement.$

$'Stub' of a table is the ________ part of the table describing the ________.$

The pair of averages whose value can be determined graphically.

The following set of data cannot be presented in a table

Frequency density is used in the construction of

Following frequency distribution is classified asX | 12 | 17 | 24 | 36 | 45F | 2 | 5 | 3 | 8 | 9

Histogram is useful to determine graphically the value of

The number of times a particular items occurs in a class interval is called its:

An ogive is a graphical representation of

Which of the following graph is suitable for cumulative frequency distribution?

Histogram can be shown as

Series is continuous.

Ogive graph is used for finding

Histogram is used for finding

The graphical representation of cumulative frequency distribution is called.

Types of cumulative frequencies are:

From a histogram one cannot compute the approximate value of

$Mode can be obtained from________$

Most of the Commonly used distributions provide

Which of the following is suitable for the graphical representation of a Cumulative frequency distribution?

Frequency density of a class interval is the ratio of

Ogive curves are used to determine

Less than ‘o’give curve give

Histogram can be drawn when

If the cumulative frequency are plotted on axis then which type of curve is formed

The suitable formula for computing the number of class intervals is ($N$ is total frequency)

Ogive for more than type and less than type distributions intersect at

The modes of presentation of data are:

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?

By plotting cumulative frequency against the respective class boundary, we get

In a cumulative frequency curve, what is represented on the Y-axis?

In a frequency distribution, the relative frequency of the class is:

Frequency density corresponding to a class interval is ratio of:

A perpendicular drawn from the point of intersection of two Ogive on the horizontal axis given the value of

The distribution of profits of a company follows:

A less than ogive curve is drawn by plotting

Two frequency distributions are given to you. To compare them visually, the best diagram to be drawn on the same sheet is

A histogram and a pie chart represents the same data on monthly expenses of a household. Which statement is most likely true?

An ogive is used to represent:

The Ogive can be used for making

The distribution of commuters coming to a Metro station from early morning hours to peak morning hours follows which type of frequency curve?

Series in which frequencies are continuously added corresponding to each class interval in the series:

If the class intervals of certain data are $10-14, 15-19, 20-24$, then the first class boundaries is

For frequency distribution and time series which form of presentation is rarely used.

Frequency Polygon is meant for ------frequency distribution

Ogive is also called as

$There are ______ types of frequency curves$

$The J shaped curve starts with a ______ frequency$

Mid values are also called

Pie-diagram is used for

A frequency distribution

The pair of averages whose value can be determined graphically?

The difference between the upper and lower limit of a class is called

What is exclusive Series

Mode of a distribution can be obtained from

Frequency density is used in the construction of:

The difference between upper limit and lower limit of a class is called

Median of a distribution can be obtained from

The distribution of income is an example of frequency distribution of

Histogram is used for presentation of the following type of series

The graphical representation of cumulative frequency distribution is called-

The difference between upper limit and lower limit of a class is called:

The following frequency distribution: x | 12 | 17 | 24 | 36 | 45 f | 2 | 5 | 3 | 9 | 8 is classified as-

The curve obtained by joining the points, whose $x$-coordinates are the upper limits of the class-intervals and $y$ coordinates are corresponding cumulative frequencies is called

For the non-overlapping classes $0-19$, $20-39$, $40-59$ the class mark of the class $0-19$ is

For open-end classification, which of the following is the best measure of central tendency?

Histogram is used for finding:

Relative frequency for a particular class lies between:

Less than type and more than type Ogives meet at a point known as:

Median of a distribution can be obtained from:

Frequency density corresponding to a class interval is the ratio of

An Ogive is a graphical representation of:

Histogram can be shown as:

$_______ Series is continuous.$

Ogive graph is used for finding:

Histogram is useful to determine graphically the value of:

Ogive for more than type and less than distributions intersect at

Perpendicular is drawn from the point of intersection of 2 Ogives on the horizontal axis. The value of it denotes:

In study of impact of novel Coronavirus in the world, a frequency graph is plotted for age on the $x$ axis and fatalities on the $y$ axis. Which frequency curve is most expected as the output?

The graphical representation of Median is calculated:

From the following data $73, 72, 65, 41, 54, 80, 50, 46, 49, 53$, find the number of class intervals if class length is given as $5$

The number of observations between $150$ and $200$ based on the following data is:Value | No of observations--- | ---More than $100$ | $70$More than $150$ | $63$More than $200$ | $28$More than $250$ | $05$

If the width of each of ten classes in a frequency distribution is $2.5$ and the lower class boundary is $5.1$, then the upper class boundary of the highest class is

Let $L$ be the lower class boundary of a class in a frequency distribution and $m$ be the mid point of the class. Which one of the following is the higher class boundary of the class?

$An Ogive can be prepared in ______ different ways.$

$According to the empirical rule, if the data form a "bell-shaped" distribution, then the maximum and minimum frequencies occur at ______ and ______ respectively.$

In a graphical representation of data, the largest numerical value is $45$ the smallest numerical value is $25$. If classes desired are $4$ then which class interval is

Which of the following is suitable for cumulative frequency distribution?

The following data relate to the marks of group of students:Marks | No of students--- | ---Below $10$ | $15$Below $20$ | $38$Below $30$ | $65$Below $40$ | $84$Below $50$ | $100$How many students got marks more than $30$?

$The profitability of a blue-chip company is showed by ______.$

Median of a distribution can be obtained from -

There are $200$ employees in an office in which $150$ were married. Total male employees were $160$ out of which $120$ were married. What was the number of female unmarried employees?

A student makes in five subject $S1, S2, S3, S4$ and $S5$ are $86, 79, 90, 88$ and $89$. If we need to draw a Pie chart to represent these markers, then what will be the Central angle for $S3$.

The following data relate to the marks of a group of students:Marks | $<10$ | $<20$ | $<30$ | $<40$ | $<50$--- | --- | --- | --- | --- | ---No. of students | $15$ | $38$ | $65$ | $84$ | $100$How many students got marks more than $30$?

The following data relate to the marks of $48$ students in Statistics:$56$ $10$ $58$ $38$ $21$ $43$ $12$ $22$\displaystyle$48$ $51$ $39$ $24$ $17$ $36$ $19$\displaystyle$48$ $36$ $15$ $33$ $30$ $62$ $57$ $17$\displaystyle$5$ $17$ $45$ $46$ $43$ $55$ $57$ $38$\displaystyle$43$ $28$ $32$ $35$ $54$ $27$ $17$ $16$\displaystyle$11$ $43$ $45$ $2$ $16$ $46$ $28$ $45$What are the frequency densities for the class intervals $20-30, 30-40, 40-50, 50-59$?

$The profitability of a blue chip company is shown by ______.$

Consider the following data where class length is given as $5$. Calculate the number of class intervals $59, 68, 78, 57, 44, 73, 40, 60, 70, 47$.

The width of each of ten classes in a frequency distribution is $2.5$ and the lower class boundary of the lowest class is $10.6$. Which one of the following is the upper class boundary of the highest class?

Let $L$ be the lower class boundary of a class in a frequency distribution and $m$ be the midpoint of the class. Which one of the following is the higher class boundary of the class?

Find the number of observations between $250$ and $300$ from the following dataValue | More than $200$ | More than $250$ | More than $300$ | More than $350$No of observation | $56$ | $38$ | $15$ | $0$

The following data relate to the marks of a group of students:Marks | Below $10$ | Below $20$ | Below $30$ | Below $40$ | Below $50$No of students | $15$ | $38$ | $65$ | $84$ | $100$How many students got marks more than $30$?

The following data relates to the incomes of $90$ persons:Income in ₹ | $1500-1999$ | $2000-2499$ | $2500-2999$ | $3000-3499$No. of persons | $13$ | $32$ | $20$ | $25$Which is the percentage of persons earning more than ₹$2000$?

The number of accidents for seven days in a locality are given below:No. of accidents | $0$ | $1$ | $2$ | $3$ | $4$ | $5$ | $6$Frequency | $15$ | $25$ | $30$ | $9$ | $3$ | $2$ | $1$What is the number of cases when $3$ or less accidents occurred?

No. of accidents | Frequency---|---$0$ | $36$\displaystyle$1$ | $27$\displaystyle$2$ | $33$\displaystyle$3$ | $29$\displaystyle$4$ | $24$\displaystyle$5$ | $22$\displaystyle$6$ | $18$\displaystyle$7$ | $9$In how many cases $5$ or more accidents occur?

Salaries of employees working in ABC is as follows:Salary | Below $10$ | Below $20$ | Below $30$ | Below $40$ | Below $50$ | Below $60$ | Below $70$ | Below $80$ | Below $90$ | Below $100$---|---|---|---|---|---|---|---|---|---|---No. of employees | $28$ | $34$ | $65$ | $84$ | $123$ | $150$ | $170$ | $185$ | $190$ | $200$Find the no. of employees with salaries more than $50K$?

The following data relate to the incomes of $86$ persons:Income | $500-999$ | $1000-1499$ | $1500-1999$ | $2000-2499$---|---|---|---|---Freq | $15$ | $28$ | $36$ | $7$What is the percentage of persons earning more than ₹$1500$?

The following data relate to the marks of a group of students:Marks | $<10$ | $<20$ | $<30$ | $<40$ | $<50$---|---|---|---|---Freq | $15$ | $38$ | $65$ | $84$ | $100$How many students got marks more than $30$?

Cost of sugar in a month under the heads raw Materials, labour, direct production and others were $12, 20, 35$ and $23$ units respectively. What is the diff. between the central angles for the largest and smallest components of the cost of sugar?

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 $600$ male workers, $500$ were members of Trade Union and fifty per cent of the male workers were married. The unmarried non-member male employees were $60$ which formed ten per cent of the total male employees. The unmarried non-members of the employees were $80$. On the basis of this information, the ratio of married male non-members to the married female non-members is

The frequency of the Class $20-30$ isMarks | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$---|---|---|---|---|---Freq | $5$ | $13$ | $28$ | $34$ | $38$

There were $200$ employees in an office in which $150$ were married. Total male employees were $160$ out of which $120$ were married. What was the female unmarried employees?

From the following data, cumulative frequency for the class $20-30$ isClass | $0-10$ | $10-20$ | $20-30$ | $30-40$ | $40-50$---|---|---|---|---|---Freq | $4$ | $6$ | $20$ | $8$ | $3$

There were $200$ employees in an office in which $150$ were married. Total male employees were $160$ out of which $120$ were married. What was the number of female unmarried employees?

Which sampling is based on the discretion of the sampler?

Which of the following is not a type of sampling?

What is the purpose of stratified random sampling?

If from a population with 25 members, a random sample without replacement of 5 members is taken, the number of all such samples is

If two letters are taken at random from the word HOME, what is the Probability that none of the letters would be vowels?

From a bag containing 10 black and 20 white balls, a ball is drawn at random. What is the probability that is black?

If a card is drawn at random from a pack of 52 cards, what is the chance of getting a Spade or an ace?

If one card is drawn at random from a pack of playing cards; find the probability it is neither a hearts nor a club:

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?

What is the chance of picking a spade or an ace not of spade from a pack of 52 cards?

What is the probability of getting neither total of 7 nor 11 when the pair of dice is tossed?

In a non-leap year, the probability of getting 53 Sundays or 53 Tuesday or 53 Thursday is:

If a card is drawn at random from a pack of cards, what is the chance of getting a Spade or an ace?

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?

One card is drawn from a pack of 52, what is the probability that is a king or queen?

The probability that a leap year has 53 Wednesday is:

A coin is tossed six times, then the probability of obtaining heads and tails alternately is

Two different dice are thrown simultaneously, then the probability, that the sum of two numbers appearing on the top of dice 9 is

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?

Let P be a probability function on $S = \{X1, X2, X3\}$ If $P(X1)=\frac{1}{4}$ and $P(X3) = \frac{1}{3}$ then $P(X2)$ is

In a non-leap year, the probability of getting 53 Sundays or 53 Tuesdays, or 53 Thursdays is:

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?

If an unbiased die is rolled once, odds in favour of getting a point which is a multiple of 3 is

A, B, C are three mutually independent with probabilities $0.3$, $0.2$ and $0.4$ respectively. What is $P(A \cap B \cap C)$?

What is the chance of throwing at least 7 in a single cast with 2 dice?

If two events A and B are independent, the probability that both will occur is given by

The probability that a person travels by a plane is $\frac{1}{5}$ and that he travels by train is $\frac{2}{3}$. Find the probability of his traveling neither by plane nor by train?

If $P(A) = 1$ and $P(B) = \frac{1}{3}$ then $P(A/B) =$

The probability that an Accountant's job applicant has a B. Com. Degree is $0.85$, that he is a CA is $0.30$ and that he is both B. Com. and CA is $0.25$ out of $500$ applicants, how many would be B. Com. or CA?

A probability in statistics is given to five students A, B, C, D and E. Their chances of is $\frac{1}{2}$, $\frac{1}{3}$, $\frac{1}{4}$, $\frac{1}{5}$, $\frac{1}{6}$. What's the probability that the problem will be solved.

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?

Given that $P(A) = \frac{1}{2}$, $P(B) = \frac{1}{3}$, $P(A \cap B) = \frac{1}{4}$, what is $P(A'/B')$

In connection with a random experiment, it is found that $P(A) = \frac{2}{3}$, $P(B) = \frac{3}{5}$ and $P(A \cup B) = \frac{5}{6}$, find $P(A/B)$

If for two events A and B, $P(A \cap B) = P(A) \times P(B)$, then the two events A and B are

A candidate is selected for interview for $3$ posts. For the first there are $3$ candidates, for second there are $4$ and for third there are $2$. What are the chances of his getting at least one post?

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:

Ram is known to hit a target in $2$ out of $3$ shots whereas Shyam is known to hit the same target in $5$ out of $11$ shots. What is the probability that the target would be hit if they both try?

A class consists of $10$ boys and $20$ 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.

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 $0.08$ and that B is $0.05$. What is the probability that the assembled part will not have any defect?

From a deck of $52$ 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?

In a poker set there are $90$ chips numbered from $1$ to $90$. Dan picks $3$ 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?

If $P(A \cap B) = 0.10$, and $P(B') = 0.80$, then $P(A/B)$ is

In connection with random experiment, it is found that $P(A) = \frac{2}{3}$, $P(B) = \frac{3}{5}$ and $P(A \cup B) = \frac{5}{6}$. Find $P(A' \cap B')$

The probability that A speaks truth is $\frac{4}{5}$ while this probability for B is $\frac{3}{4}$. The probability that they contradict each other when asked to speak on a fact is

A speaks truth in $75\%$ cases and B in $60\%$ of the cases. In what percentage of the cases are they likely to contradict each other, narrating the same incident.

$P(A) = \frac{2}{3}$; $P(B) = \frac{3}{5}$; $P(A \cup B) = \frac{5}{6}$ Find $P(B/A)$

The theory of compound probability states that for any two events A and B:

The probability distribution of a random variable $x$ is given below: | X | P ||---|---|| 1 | $0.15$ || 2 | $0.25$ || 4 | $0.2$ || 5 | $0.3$ || 6 | $0.1$ | What is the standard deviation of $x$?

For a probability distribution, probability is given by, $P(X_j) = \frac{k}{x_j^2}$, $x_j = 1, 2, \dots, 9$. The value of $k$ is

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 $\frac{1}{36}$ where $X = $

The probability distribution of $x$ is given below: | Value of $x$ | Probability: ||---|---|| 1 | $p$ || 0 | $1-p$ || Total | 1 | Mean is equal to

If a random variable $X$ has the following probability distribution, then the expected value of $X$ 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} |

On a commodity exchange when booking trades with provision for stop-losses, a trader can make a profit of $\text{Rs } 20,000$ or incur a loss of $\text{Rs } 20,000$. The probabilities of making profit and incurring loss, from the past experience, are known to be $0.75$ and $0.25$ respectively. The expected profit to be made by trader should be

A random variable has the following probability distribution: | X | P ||---|---|| 2 | $K$ || 3 | $2K$ || 5 | $2K$ | Find $K$.

The following table gives the cumulative probability function of $X$: | 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 $X$ is ______

$The following table gives the expected value of follow. distribution | P(X) | -20 | -10 | 30 | 75 | 80 ||---|---|---|---|---|---|| P(X) | \frac{3}{20} | \frac{1}{5} | \frac{1}{2} | \frac{1}{10} | \frac{1}{20} | Find the Expected value of follow. distribution$

From the following probability distribution table, find $E(x)$x | 1 | 2 | 3f(x): | $\frac{1}{2}$ | $\frac{1}{3}$ | $\frac{1}{6}$

A dice is rolled thrice, if getting a four is considered a success, find the variance of the probability distribution of number of successes

A random variable has the following probability distribution:X | P2 | K3 | 2K5 | 2KFind K

From the following probability distribution table, find $E(x)$:x: | 1 | 2 | 3f(x): | $\frac{1}{2}$ | $\frac{1}{3}$ | $\frac{1}{6}$

If two random variables $x$ and $y$ are related by $y = -3x + 8$, then the SD of $y$ is given by

If $X$ and $Y$ are two random variables then $V(x+y)$ is

If $X$ and $Y$ are random variables having expected values as $4.5$ and $2.5$ respectively, then the expected value of $(x-y)$ is

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.

In a graphical representation of data, the largest numerical value is $45$, the smallest numerical value is $25$. If classes desired are $4$ then which class interval is:-

Class | 0-10 | 10-20 | 20-30 | 30-40 | 40-50Freq. | 4 | 6 | 20 | 8 | 3For the class 20-30. Cumulative frequency is: