Question

For the following set of data, find the population standard deviation, to the nearest hundredth. Data...

For the following set of data, find the population standard deviation, to the nearest hundredth.

Data Frequency
17 3
22 6
23 2
27 6
29 8
32 2
35 8
36 5
37 5
Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Solution:

x
(1)		 Frequency (f)
(2)		 f⋅x
(3)=(2)×(1)		 f⋅x2=(f⋅x)×(x)
(4)=(3)×(1)
17 3 51 867
22 6 132 2904
23 2 46 1058
27 6 162 4374
29 8 232 6728
32 2 64 2048
35 8 280 9800
36 5 180 6480
37 5 185 6845
n=45 f⋅x=1332 f⋅x2=41104

Population Standard deviation σ

=( fx2 ) - (( fx)2 / n ) n

=41104-(1332)24545

=41104-39427.245

=1676.845

=37.2622

=6.1043

The population standard deviation = 6.10

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