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SSC CGL 2023 PYQ — Question 4

SSC CGL Tier II - 26 October 2023 • Quantitative Aptitude • Q4

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A set of data presented in the form of a frequency distribution table with class intervals and their respective frequencies had a mode of 48.5. The lower boundary of the modal class was 46.5; the frequency of the modal class was 34; the frequency of the class interval just preceding the modal class was 32 and the frequency of the class interval just succeeding the modal class was 25. What was the width of the modal class?

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 11.

Mode=L+(f1−f02f1−f0−f2)×h\text{Mode} = L + \left(\frac{f_1 - f_0}{2f_1 - f_0 - f_2}\right) \times h

L = 46.5

f1 = 34

f0 = 32

f2 = 25

Mode = 48.5

h = ?

⇒  48.5=46.5+(34−322×34−32−25)×h48.5 = 46.5 + \left(\frac{34-32}{2\times34 - 32 - 25}\right) \times h

⇒ 2 = 211\frac{2}{11} × h

h = 11