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1 vote
For the data set 4, 5, 10, 11, 15, the mean, x is 9. What is the standard deviation?

User Colie
by
6.9k points

2 Answers

2 votes

Answer:

4.5

Explanation:

5.1.3

User PorcupineRending
by
6.8k points
4 votes

Answer:

The standard deviation is 4.05 to the nearest hundredth

.Explanation:

The standard deviation is given by:


s=\sqrt{(\sum(x-\bar X)^2)/(n) }

The mean,
\bar X=9

This implies that;


s=\sqrt{((4-9)^2+(5-9)^2+(10-9)^2+(11-9)^2+(15-9)^2)/(5) }


s=\sqrt{(25+16+1+4+36)/(5) }


s=\sqrt{(82)/(5) }=4.049691

Hence the standard deviation is 4.05 to the nearest hundredth.

User Lejahmie
by
6.2k points