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For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation? The formula for the sample standard deviat
Question
For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard
deviation?
The formula for the sample standard deviation is a –
Jo-;2(x-
z(x — Hoje
Use the table to help you.
4.
5
10
11
15
X-8
(x – x?
-5
25
-4
16
1
1
2
4.
6
36
Sum= 82
Round your answer to the nearest tenth.
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Mathematics
3 years
2021-08-14T19:34:29+00:00
2021-08-14T19:34:29+00:00 1 Answers
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Answers ( )
Answer:
4.53
Step-by-step explanation:
Given the data :
4, 5, 10, 11, 15
The mean = 9
The standard deviation of a sample :
s = √[Σ(x – mean)²/(n-1)]
s = √[((4-9)² + (5-9)²+(10-9)² + (11-9)² + (15-9)²) / (5-1)]
s = √(25+16+1+4+36)/4
s = √20.5
s = 4.527
s = 4.53