Given below are the marks out of 25 of 5 students in mathematics test. Calculate
the variance and standard deviation of these observations.
Marks : 10, 13, 17, 20, 23.
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Answer:
21.2
Given distribution is, 8,12,13,15,22
Here, n=5 and mean
x
ˉ
=
5
8+12+13+15+22
=
5
70
=14
∴ Variance =
n
∑∣x−
x
ˉ
∣
2
=
5
6
2
+2
2
+1
2
+1
2
+8
2
=
5
106
=21.2
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