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Seven students on an intramural team have the following weights: 191 lb, 189 lb, 186 lb, 197 lb, 179 lb, 198 lb, 197 lb. What is the standard deviation of the weights of these students?

Answer :

This is a simple question, our standard deviation represents how spread our data are, and to calculate it we need first to calculate our mean and variance as below:

To calculate our variance, we need to take the difference between each weight and the mean we just calculated and next, we square each difference and final we calculate a new mean with this values as below:

To calculate the standard deviation we just need to make the square root of our variance:

So the final answer is that the standard deviation of the weights of these students is equal to 6.48 or 6.5 (depends on the approximation).

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