If there are more than 20 observations in total or in the population, then the standard deviation of this data set (a sample from the population) is , 45, 73, 16, 34, 98, 34, 45, 26, 2, 56, 97, 12, 445, 23, 63, 110, 12, 17, and 41

The standard deviation of this data set a sample from the population is equal to 94.9

Step-by-step explanation:

We have 20 observations in total or in the population and we want to know the standard deviation of this data set.

The standard deviation formula to a sample from the population is:

(1)

Where:

S: Standard deviation

sum: Summation

x: Sample values

Am: Arithmetic mean

n:  Number of terms, in this case 20

Now, we need to know the arithmetic mean of the sample values

To know the standard deviation we need to have the summation of each term minus the arithmetic mean squared.

of each term:

The summation of each term minus the arithmetic mean squared is: 171128.2

Now, we can find the standard deviation with the equation (1)

The standard deviation is equal to 94.9

the correct answer is the second option