TS EAMCET · Maths · Statistics
Two teams \(A\) and \(B\) have the same mean and their coefficients of variation are 4,2 , respectively. If \(\sigma_A, \sigma_B\) are the standard deviations of teams \(A, B\) respectively, then the relation between them is
- A \(\sigma_A=\sigma_B\)
- B \(\sigma_B=2 \sigma_A\)
- C \(\sigma_A=2 \sigma_B\)
- D \(\sigma_B=4 \sigma_A\)
Answer & Solution
Correct Answer
(C) \(\sigma_A=2 \sigma_B\)
Step-by-step Solution
Detailed explanation
We have, \[ \bar{X}_A=\bar{X}_B \text { and } \mathrm{CV}_A=4, \mathrm{CV}_B=2 \] Let \(\sigma_A\) and \(\sigma_B\) be the standard deviations of teams \(A\) and \(B\) respectively. Then,…
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