Question

what is the standard deviation of the numbers 77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Answer 1

The standard deviation of the numbers is 16.154.

Explanation:

The given observations are

77,45,72,56,98,60,70,89,50,80,95,70,34,77,65,70,70,82,86,86

Average or mean of the data is

`\bar{X}=\frac{\text{Sum of observations}}{\text{Total number of observations}}`

`\bar{X}=(1432)/(20)=71.6`

The Standard deviation of the data is

`\sigma=\sqrt{\frac{\sum (X-\bar{X})^2}{n}}`

`\sigma=\sqrt{(5218.8)/(20)}`

`\sigma=√(260.94)`

`\sigma=√(16.154)`

Therefore standard deviation of the numbers is 16.154.