Find the variance and the standard deviation (correct to two decimal places) of the following data set. $7,12,17,22,27$
A) standard deviation: $17$ variance: $50$
B) standard deviation: $7.07$ variance: $17$
C) standard deviation: $50$ variance: $7.07$
D) standard deviation: $7.07$ variance: $50$
E) standard deviation: $2$ variance: $1.41$

Question

Quizplus · Accepted Answer

The variance of a data set is calculated by finding the mean, subtracting the mean from each number in the set, squaring the result, finding the average of those squared differences, and finally, the standard deviation is the square root of the variance. For the data set $7, 12, 17, 22, 27$, the mean is $17$. The squared differences from the mean are $100, 25, 0, 25, 100$, respectively. The average of these squared differences is $50$, which is the variance. The square root of $50$ is approximately $7.07$, which is the standard deviation.

Find the Variance and the Standard Deviation (Correct to Two 7,12,17,22,277,12,17,22,277,12,17,22,27

Find the Variance and the Standard Deviation (Correct to Two $7,12,17,22,27$