What are the mean and standard deviation of {15, 9, 23, 12, 17}?

Lorena Lester
2022-07-21
Answered

What are the mean and standard deviation of {15, 9, 23, 12, 17}?

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escobamesmo

Answered 2022-07-22
Author has **18** answers

Explanation:

$x-{x}^{2}$

15-225

9-81

23-529

12-144

17-289

76-1268

$\overline{x}=\frac{\sum x}{n}=\frac{76}{5}=15.2$

$\sigma =\sqrt{\frac{\sum {x}^{2}}{n}-(\frac{\sum x}{n}{)}^{2}}=\sqrt{\frac{1268}{5}-(\frac{76}{5}{)}^{2}}$

$=\sqrt{253.6-(15.2{)}^{2}}=\sqrt{253.6-231.04}$

$=\sqrt{22.56}=4.75$

$x-{x}^{2}$

15-225

9-81

23-529

12-144

17-289

76-1268

$\overline{x}=\frac{\sum x}{n}=\frac{76}{5}=15.2$

$\sigma =\sqrt{\frac{\sum {x}^{2}}{n}-(\frac{\sum x}{n}{)}^{2}}=\sqrt{\frac{1268}{5}-(\frac{76}{5}{)}^{2}}$

$=\sqrt{253.6-(15.2{)}^{2}}=\sqrt{253.6-231.04}$

$=\sqrt{22.56}=4.75$

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