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nataly862011 [7]
3 years ago
10

4. Calculate the standard deviation for the following data set: Foundations of Technology Engineering byDesi OITEEA . . Data Set

= 4, 14, 6, 2, 7, 12 217 ,​
Computers and Technology
1 answer:
rusak2 [61]3 years ago
6 0

Answer:

\sigma_x = 5.68

Explanation:

Given

x = 4, 14, 6, 2, 7, 12 2,17

Required

The standard deviation

First, calculate the mean

\bar x =\frac{\sum x}{n}

So, we have:

\bar x = \frac{4+ 14+ 6+ 2+ 7+ 12 +2+17}{8}

\bar x = \frac{64}{8}

\bar x = 8

The standard deviation is:

\sigma_x = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}

So, we have:

\sigma_x = \sqrt{\frac{(4 - 8)^2+ (14 - 8)^2+ (6 - 8)^2+ (2 - 8)^2+ (7 - 8)^2+ (12 - 8)^2+ (2 - 8)^2+ (17 - 8)^2}{8-1}}

\sigma_x = \sqrt{\frac{226}{7}}

\sigma_x = \sqrt{32.2857}

\sigma_x = 5.68

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