Statistical Representation of DataMCQPYQ Dec. 23Question 2772 of 295
All Questions

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.

Options

A5\displaystyle 5
B6\displaystyle 6
C7\displaystyle 7
D8\displaystyle 8
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option d — 8\displaystyle 8

All Options:

  • A5\displaystyle 5
  • B6\displaystyle 6
  • C7\displaystyle 7
  • D8\displaystyle 8

Ad

Detailed Solution & Explanation

To determine the number of class intervals needed to group a given dataset, we use the values to find the range:\n\n1. **Identify the minimum and maximum values** in the dataset:\n Dataset:59,68,78,57,44,73,40,60,70,47\text{Dataset}: 59, 68, 78, 57, 44, 73, 40, 60, 70, 47\n - Minimum Value=40\displaystyle \text{Minimum Value} = 40\n - Maximum Value=78\displaystyle \text{Maximum Value} = 78\n\n2. **Calculate the Range**:\n Range=Maximum Value−Minimum Value=78−40=38\text{Range} = \text{Maximum Value} - \text{Minimum Value} = 78 - 40 = 38\n\n3. **Calculate the number of class intervals (k\displaystyle k)** with class length 5\displaystyle 5:\n k=RangeClass Length=385=7.6k = \frac{\text{Range}}{\text{Class Length}} = \frac{38}{5} = 7.6\n\nSince the number of classes must be an integer to completely cover all data points from 40\displaystyle 40 to 78\displaystyle 78, we round up 7.6\displaystyle 7.6 to the next whole number, which is 8\displaystyle 8. \nIf we construct the classes starting from 40\displaystyle 40, the intervals of length 5\displaystyle 5 are: 40−44,45−49,50−54,55−59,60−64,65−69,70−74,75−79\displaystyle 40-44, 45-49, 50-54, 55-59, 60-64, 65-69, 70-74, 75-79, which is exactly 8\displaystyle 8 class intervals. This corresponds to Option D.\n\nHence, **Option D** is the correct answer.

About This Chapter: Statistical Representation of Data

Paper

Paper 3: Quantitative Aptitude

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.

View Official ICAI Syllabus

Exam Strategy Tip

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

Related Comparison Tables

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

More Questions from Statistical Representation of Data

Mode can be obtained from________

The modes of presentation of data are:

The distribution of income is an example of frequency distribution of

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

Histogram can be drawn when

Less than ‘o’give curve give

Ready to Master Statistical Representation of Data?

Practice all 295 questions with instant feedback, earn XP, track your streaks, and ace your CA Foundation exam.

Start Practicing — It's Free