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

Answer:

The standard deviation of the numbers is 16.154.

Step-by-step 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

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

$\bar{X}=\frac{1432}{20}=71.6$

The Standard deviation of the data is

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

$\sigma=\sqrt{\frac{5218.8}{20}}$

$\sigma=\sqrt{260.94}$

$\sigma=\sqrt{16.154}$

Therefore standard deviation of the numbers is 16.154.