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What is the standard deviation (s) of the following set of scores? 10, 15, 12, 18, 19, 16, 12

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Answer:

standard deviation =3.11

Explanation:

data given is ungrouped data

standard deviation =√ [∑ (x-μ)² / n]

mean (μ)=∑x/n

=
(10+15+12+18+19+16+12)/(7)

=14.57

x-μ for data 10, 15, 12, 18, 19, 16, 12 will be

-4.57, 0.43, -2.57, 3.43, 4.43,1.43, -2.57

(x-μ)² will be 20.88, 0.1849, 6.6049, 11.7649,19.6249, 2.0449, 6.6049

∑ (x-μ)² will be = 67.7049

standard deviation = √(67.7049 / 7)

=3.11

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