The 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

Question

Question

Answer 1

Concept:

\(\rm Coefficient\ of\ variation= {(standard\ deviaiton)\over Mean } ×100 \)

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