3. Compute variance and standard deviation
for the following data:
X
2
4
6
8
10
f
5
4
3
2
1
Answers
Answered by
0
Answer:
Given data: 2,4,6,8,10
To find:
Variance σ
2
=?
Solution:
x
ˉ
=
5
2+4+6+8+10
=
5
30
=6
σ
2
=
n−1
1
∑
i=1
n
(x
i
−
x
ˉ
)
2
=
5−1
1
{(2−6)
2
+(4−6)
2
+(6−6)
2
+(8−6)
2
+(10−6)
2
}
=
4
1
(16+4+0+4+16)
=
4
40
=10
Therefore, varaince of above data =10
Step-by-step explanation:
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