Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results tell us? 14 75 31 23 77 63 88 40 68 11 60 Range=nothing (Round to one decimal place as needed.)

The range is 77.

The variance is 739.8.

The standard deviation is 27.2.

Step-by-step explanation:

The data provided, in ascending order is as follows:

S = {11 , 14 , 23 , 31 , 40 , 60 , 63 , 68 , 75 , 77 , 88}

The range of a data set is the difference between the maximum and minimum values.

From the above data set we know,

Maximum = 88

Minimum = 11

Compute the range as follows:

Range = Maximum - Minimum

           = 88 - 11

           = 77

The range is 77.

Compute the mean of the data as follows:

Compute the variance as follows:

The variance is 739.8.

Compute the standard deviation as follows:

The standard deviation is 27.2.

b

step-by-step explanation: