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The two sets of observations are given below:

\begin{array}{cl}{\operatorname{Set} I} & {\operatorname{Set} \Pi} \ {\overline{x}=82.5} & {\overline{x}=48.75} \ {\sigma=7.3} & {\sigma=8.35}\end{array}

Which of two sets is more consistent?

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Solution:

For Set I $C . V=\frac{\sigma}{\bar{x}} \times 100$

$C . V=\frac{7.3}{82.5} \times 100=8.848$

For set II

$C . V=\frac{\sigma}{\bar{x}}$

$C . V=\frac{8.35}{48.75} \times 100=17.128$

C.V, of set I < C.V of set II

$\therefore set I is more consistent$

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