Question

Consider the following sample data set: 34, 41, 23, 22, 23, 42, 24, 24, 69, 36. What is the standard deviation?

Answer 1

standard deviation comes out to be equal to 14.63

Explanation:

given numbers,

34, 41, 23, 22, 23, 42, 24, 24, 69, 36

arranging in ascending order

22, 23, 23, 24, 24, 34. 36, 41, 42, 69

mean =
`(22+23+23+24+24+34+36+41+42+69)/(10)`

= 33.8

standard deviation =
`\sqrt{\frac{\sum (x-\bar{x})^2}{n-1}}`

=
`\sqrt{(1927.6)/(10-1)}`

= 14.63

hence, the standard deviation comes out to be equal to 14.63