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Question

The sum of 10 observations is 110 and the sum of squares of observations is 2900, their standard deviation is ______.

A
13
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B
8
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C
10
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D
9
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Solution

The correct option is A 13

Standard deviation is the square root of the arithmetic mean of the squares of the deviations measured from the arithmetic mean of the data.

Standard deviation = { (sum of the squares of the observations/ number of observations ) – (sum of observations/ number of observations ) } ½

= { (2800/10) –(110/10) } ½

= { 280- 11}1/2

= (169) ½

= 13


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