The standard deviation is _____________ to the mean deviation taken from the arithmetic mean.

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Solution

The standard deviation is greater than or equal to the mean deviation taken from the arithmetic mean.

Since standard deviation deals with square of mean deviations about arithmetic mean.

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Similar questions

State with reason whether the following statements are True or False:

(i) Sum of square of the deviations of items from their arithmetic mean is the maximum.

(ii) Standard Deviation is based on all values.

(iii) For a given set of observations, standard deviation is always more than mean deviation from mean.

The mean deviation of the variates 40, 62, 68, 76, 54 from their arithmetic mean is

Marks	:	70-80	60-70	50-60	40-50	30-40	20-30
No of students	:	7	11	22	0	15	5

60

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