Question

52. The sum of 10 observations is 110 and the
sum of squares of observations is 2900, their
standard deviation is:
a) 13
b) 8
c) 10 d) 9​

Answer 1

Answer:

So the ans is a)13

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Step-by-step explanation:

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