Statistical Representation of DataMCQMTP Nov 19Question 2773 of 295
All Questions

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?

Options

A35.6\displaystyle 35.6
B33.1\displaystyle 33.1
C30.6\displaystyle 30.6
DNone of these
For any discrepancies in this question, email contact@cadada.in

Correct Answer

✅ Option a — 35.6\displaystyle 35.6

All Options:

  • A35.6\displaystyle 35.6
  • B33.1\displaystyle 33.1
  • C30.6\displaystyle 30.6
  • DNone of these

Ad

Detailed Solution & Explanation

We are given the following characteristics of a continuous grouped frequency distribution:\n- Number of class intervals, n=10\displaystyle n = 10\n- Width of each class interval, w=2.5\displaystyle w = 2.5\n- Lower class boundary of the lowest (10th or first) class, LCB1=10.6\displaystyle LCB_1 = 10.6\n\nSince the class intervals are contiguous (continuous with no gaps between them), the total width spanned by all 10\displaystyle 10 classes is the product of the number of classes and the class width:\nTotal Spanned Width=n×w=10×2.5=25\text{Total Spanned Width} = n \times w = 10 \times 2.5 = 25\n\nThe upper class boundary of the highest (10th) class (UCB10\displaystyle UCB_{10}) will be the lower class boundary of the first class plus this total spanned width:\nUCB10=LCB1+Total Spanned Width=10.6+25=35.6UCB_{10} = LCB_1 + \text{Total Spanned Width} = 10.6 + 25 = 35.6\n\nThis matches Option A.\n\nHence, **Option A** 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