Question

numbers: 9, 6, 8, 3, 2, 5, 7, 4, 3
What is the standard deviation?

What does the standard deviation tell you about the scores?

Answer 1

Hello Sir/ Mam

Data
9
6
8
3
2
5
7
4
3

Mean = Sum/n = 47/9 = 5.22

Now,

X	Mean - X	(Mean - X)^2
9	3.78	14.271605
6	0.78	0.604938
8	2.78	7.716049
3	-2.22	4.938272
2	-3.22	10.382716
5	-0.22	0.049383
7	1.78	3.160494
4	-1.22	1.493827
3	-2.22	4.938272
Total		47.555556

Now,

5.22 being the mean of the data, and 2 being lowest value and 9 being the largest, 2.29 Standard Deviation displays a disperse quality of the data. It shows that the data is well scattered.

I hope this solves your doubt.

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