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Seven students on an intramural team weigh 203 lb, 196 lb, 198 lb, 209 lb, 186 lb, 205 lb, and 189 lb.

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

Answer :

Final answer:

To find the standard deviation of the weights of the students, first find the mean of the weights. Then, find the squared differences from the mean, find the mean of these squared differences, and then take the square root.

Explanation:

To calculate the standard deviation of these students' weights, first, find the mean (average) by adding up all the weights and dividing by the number of students.

The weights of the seven students are: 203, 196, 198, 209, 186, 205, and 189 pounds.

So, mean = (203 + 196 + 198 + 209 + 186 + 205 + 189) / 7.

Next, subtract the mean from each student's weight and square the result to get the squared differences. Then, find the mean of these squared differences.

Finally, take the square root of the mean of the squared differences to find the standard deviation.

This entire process is the standard procedure for finding the standard deviation of a data set.

Learn more about Standard Deviation here:

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