High School

The heights of eight professional basketball players are (in centimeters): 188, 189, 192, 193, 194, 194, 195, 195.

a. Calculate the mean and standard deviation of their heights.

Answer :

Final answer:

The mean height of the eight basketball players is 192.5 cm and the standard deviation is approximately 2.74 cm.

Explanation:

To find the mean of your data, you add up all the values and divide by the number of values.

In your case, the mean (average height) of the eight basketball players is:

(188 + 189 + 192 + 193 + 194 + 194 + 195 + 195) / 8

= 192.5 cm.

To calculate the standard deviation, you subtract the mean from every value (this gives you the deviation), square those results (to remove any negative quantities), sum up all the squared results, divide by the count of values, and finally take the square root.

This comes out to approximately 2.7386 cm, meaning the heights of the basketball players deviate on average about 2.74 cm from the mean.

So, the mean is 192.5 cm and the standard deviation is 2.74 cm.

Learn more about Statistical Analysis here:

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