The variance of a sample of 121 observations equals 441. The standard deviation of the sample equals 1.91. 231. 21. 11.

Respuesta :

The standard deviation of sample equals: 11

Explanation:

Given:

                                 variance of sample ([tex]S^{2}[/tex]) = 121

                                 no, of observations made = 441

                                         standard deviation = ?

By using the formula:

                          Standard deviation (S) = [tex]\sqrt{variance}[/tex]

                                                                 = [tex]\sqrt{S}[/tex]

                                                                 = [tex]\sqrt{121}[/tex]

                                                                 = 11

Hence the standard deviation is equal to 11.

 

The standard deviation of the sample is 21.

Calculation of the standard deviation:

Since The variance of a sample of 121 observations equals 441.

The standard deviation for a  variable or a sample or anything should be the square root of the variance.

Here variance means the square deviation of the variable arise from mean.

So, the standard deviation is

= √variance

= √441

= 21

Hence, The standard deviation of the sample is 21.

Learn more about the sample here: https://brainly.com/question/24336809