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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Kim Chi 3 years 2021-08-14T19:34:29+00:00 1 Answers 16 views 0

Answers ( )

    0
    2021-08-14T19:36:14+00:00

    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

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