Question

Marks obtained by few students in a quiz are 5, 6, 2, 3, 1, 7, 4,8.
Find the variance and coefficient of variance of the sample.​

Answer 1

Step-by-step explanation:

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Class 11

>>Applied Mathematics

>>Descriptive Statistics

>>Data interpretation

>>Calculate variance for the following dat

Question

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Calculate variance for the following data: 2,4,6,8 and 10.

Medium

Solution

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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