_________ may be defined as the positive square root of arithmetic mean of the squares of all the deviations of the values from their arithmetic mean.

Dispersion

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Correlation of coefficient

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Standard deviation

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Inter-Quartile Range

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Solution

The correct option is C Standard deviation
Standard deviation may be defined as the positive square root of arithmetic mean of the squares of all the deviations of the values from their arithmetic mean.
It is most commonly and widely used measure of dispersion.

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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.

	X series	Y series
Arithmetic Mean	25	18
Sum of Square of deviations from Arithmetic Mean	136	138

n

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

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