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Calculate the standard deviation of the data.7 11 8 12 4 6 2 15 7 8

Question

Calculate the standard deviation of the data.

7 11 8 12 4 6 2 15 7 8

check_circleAnswer
Step 1

Standard deviation:

The standard deviation indicates by how much each observation differs from a central point represented by the mean. In general, the standard deviation increases with the increase in the distances between the individual observations and the mean of the data set.

The general formula for variance is,

Standard deviation s=Sqrt (sum of (xi-xbar)^2/n-1)

Step 2

Mean:

The mean of the sample data is:

10
Σ
Sample mean (
10
(7+11+8+12 4 6+2 15 7+8)
10
80
10
=8
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10 Σ Sample mean ( 10 (7+11+8+12 4 6+2 15 7+8) 10 80 10 =8

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Step 3

The standard deviation for ...

10
Σ-5
Standard deviation s =
(10-1)
(7-8)+(11-8)+(8-8)+(12-8(4-8
(6-8 - (2-8)- (15-sj°+(7=8j* + (8-8j*
9
132
=
= 3.83
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10 Σ-5 Standard deviation s = (10-1) (7-8)+(11-8)+(8-8)+(12-8(4-8 (6-8 - (2-8)- (15-sj°+(7=8j* + (8-8j* 9 132 = = 3.83

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Hypothesis Testing

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