Question
Download Solution PDFThe mean and standard deviation of a set of values are 10 and 4 respectively. If 10 is added to each value, then the value of coefficient of variation in the new set of values will be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
\(\rm Coefficient\ of\ variation= {(standard\ deviaiton)\over Mean } ×100 \)
Calculation:
Given,
\(\rm \overline X = 10\)
σ = 4
\(\rm CV ={\left({ \sigma \over \overline x}\right)\times 100}\)
∴ CV = \(\rm {4\over 10}\times100 = 40\)
So, new CV = \(\rm {\left({ \sigma \over \overline x\ +\ 10}\right)\times 100}\)
∴ new CV =\(\rm {4\over (10\ +\ 10)}\times 100\)
∴ new CV = 20
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