Statistical Description of DataMTP Nov 19Question 2773 of 295
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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
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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

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.

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