High School

Seven students on an intramural team weigh 163 lb, 169 lb, 158 lb, 169 lb, 159 lb, 178 lb, and 145 lb.

What is the standard deviation of the weights of these students?

A. 7.5
B. 9.2
C. 6.1
D. 9.7 (Correct)

Answer :

Final answer:

The standard deviation of the weights of the seven intramural team students, which measures the dispersion of the weights, is 9.7 lb. The answer is Option 4.

Explanation:

In mathematics, standard deviation is a measure of the amount of variation or dispersion of a set of values. To find the standard deviation of the weights of these students, you would first find the mean (average) of the weights, subtract each individual weight from the mean and square the result, find the mean of these squared differences, and then take the square root of that mean. Applying these steps to your data, you would find that the standard deviation is 9.7 lb, which corresponds to Option 4.

Learn more about Standard Deviation here:

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