Question

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? 54 4 22 57 16 89 85 64 17 12 80
range = 85.0 (round to one decimal place as needed.)
sample standard deviation = 32.0 (round to one decimal place as needed.)
sample variance = (round to one decimal place as needed.)

Explanation:

Step1: Recall variance - standard - deviation relationship

The variance $s^{2}$ is the square of the standard - deviation $s$.

Step2: Calculate the variance

Given the sample standard deviation $s = 32.0$, then $s^{2}=32.0^{2}=1024.0$

Answer:

1024.0