TS EAMCET · Maths · Statistics
If the coefficient of variation and variance of a frequency distribution are 7.2 and 3.24 respectively, then its mean is
- A 45
- B 25
- C 20
- D 16
Answer & Solution
Correct Answer
(B) 25
Step-by-step Solution
Detailed explanation
Given, Coefficient of variation \(=7.2\) Variance \(\sigma^2=3.24\) Coefficient of variation \(=\frac{\sigma}{\bar{\chi}} \times 100\) \(7.2=\frac{\sqrt{3.24}}{\bar{x}} \times 100 \Rightarrow \bar{x}=\frac{1.8}{7.2} \times 100 \Rightarrow \bar{x}=25\) Hence, mean \(=25\)
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