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Standard IX

Mathematics

Properties of Measures of Central Tendency

The co-effici...

Question

The co-efficient of variation and standard deviation are $60$ and $21$ respectively. what is the arithmetic mean of the distribution.

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Solution

Given coefficient of variation $= 60$
Standard variation $= 21$
We know, coefficient of variation $= \frac{s t a n d a r d v a r i a t i o n}{a r i t h m e t i c m e a n} \times 100$
$\Rightarrow 60 = \frac{21}{a r i t h m e t i c m e a n} \times 100$
$\Rightarrow a r i t h m e t i c m e a n = \frac{2100}{60} = 35$ .

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The co-efficient of variation and standard deviation are 60 and 21respectively. what is the arithmetic mean of the distribution.

Given coefficient of variation=60Standard variation=21We know, coefficient of variation=standardvariationarithmeticmean×100⇒60=21arithmeticmean×100⇒arithmeticmean=210060=35.

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