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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Statistics

NDA 2021 · Mathematics · Statistics

If the mean of a frequency distribution is 100 and the coefficient...

If the mean of a frequency distribution is 100 and the coefficient of variation is 45%45 \%, then what is the value of the variance?

Options

  1. A20252025
  2. B450450
  3. C4545
  4. D4⋅54 \cdot 5

Correct answer

A. 20252025

Step-by-step solution

Co-efficient of variation (C.V)=.S.D. Mean (C . V)=.\frac{S . D .}{\text{ Mean }}45100=S.D.100⇒S.D.=45& Then, variance =(S.D.)2=(45)2=2025\begin{aligned}& \frac{45}{100}=\frac{S . D .}{100} \Rightarrow S . D .=45 \& \text{ Then, variance }=(S . D .)^2=(45)^2=2025 \end{aligned}$$
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