find the standard deviation of the given data . 62,58,53,50,63,52,54
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Answer:
Let us take A=55 as the assumed mean and form the following table.
x
d=x−A=x−55
d
2
50
−5
25
52
−3
9
53
−2
4
55
0
0
58
3
9
62
7
49
63
8
64
∑d=8
∑d
2
=160
σ=
n
∑d
2
−(
n
∑d
)
2
=
7
160
−(
7
8
)
2
=
7
160
−
49
64
=
49
1056
=
7
32.49
∴ Standard deviation σ≃4.64.
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