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? 40 39 8 82 25 53 97 1 28 41 94

(a)Range = 96

(b)Variance=1059.36

(c)Standard Deviation =32.55

Step-by-step explanation:

(a)Range

Range = Highest Value - Lowest Value

=97-1

=96

(b)Variance

The variance of a sample for ungrouped data is defined by the formula:

First, we determine the mean of the sample data.

=10593.64

Therefore:

Variance, Variance,

(c)Standard Deviation

The results tell us that there is great variability in the number of jerseys of the player as evidenced by the high standard deviation and range.

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step-by-step explanation: