Question

Find the sample variance and standard deviation 5, 57, 10, 51, 34, 24, 29, 28, ,29 , 31

Answer 1

Write out the data given, we have

`5,57,10,51,34,24,29,28,29,31`

Write out the formula

Hence

`\text{sum of squares=}2253.6`

Hence, Sample variance will be

`s^2=(ss)/(n-1)=(2253.6)/(10-1)=(2252.6)/(9)=250.4`

The sample variance is 250. 4

The standard deviation is the square root of the variance