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The weights of a sample of nine football players are 78, 72, 68, 73, 75, 69, 74, 73, 72. Find the variance and the standard deviation.

User Nat Taylor
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1 Answer

3 votes

Answer:

The variance is of 8

Explanation:

To find the variance and the standard deviation, first we need to find the mean.

Mean:

Sum of all values divided by the number of values. So


M = (78+72+68+73+75+69+74+73+72)/(9) = 72.67

The standard deviation is of 2.83

Variances:

Sum of the difference squared between each value and the mean, divided by the number of values. So


V = ((78-72.67)^2+(72-72.67)^2+(68-72.67)^2+(73-72.67)^2+(75-72.67)^2+(69-72.67)^2+(74-72.67)^2+(73-72.67)^2+(72-72.67)^2)/(9) = 8

The variance is of 8

Standard deviation:

Square root of the variance. So


S = √(V) = √(8) = 2.83

The standard deviation is of 2.83

User Rob Buhler
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