Q46 of 46 Page 278

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

greater than or equal to

Explanation: we know standard deviation is difference between square of deviation of data about mean and square of mean.


And mean deviation is sum of all deviations of a set of data about the data's mean.


Hence, the standard deviation is greater than or equal to the mean deviation taken from the arithmetic mean


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If the variance of a data is 121, then the standard deviation of the data is _______.

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The standard deviation of a data is ___________ of any change in origin, but is _____ on the change of scale.

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The sum of the squares of the deviations of the values of the variable is _______ when taken about their arithmetic mean.

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The mean deviation of the data is _______ when measured from the median.