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AP EAMCET · Maths · Statistics

The coefficient of variation and standard deviation of an ungrouped data are 60 and 21 respectively. If 15 is added to every observation of the data, then the coefficient of variation of the new data is

  1. A 30
  2. B 42
  3. C 40
  4. D 20
Verified Solution

Answer & Solution

Correct Answer

(B) 42

Step-by-step Solution

Detailed explanation

According to the given information, Coefficient of variance \((\mathrm{CV})=\frac{\sigma}{\mu} \times 100\) Where \(\sigma\) is standard deviation and \(\mu\) is mean of an ungrouped data. \(\because \quad \frac{\sigma}{\mu} \times 100=60\) and \(\sigma=21\) So,…