The variance of the data 2, 4, 6,8, 10 is.

  • Option 1)

    6

  • Option 2)

    7

  • Option 3)

    8

  • Option 4)

    None of These

 

Answers (1)

Use the concept of

Variance -

In case of discrete data 

\dpi{100} \sigma ^{2}= \left ( \frac{\sum x_{i}^{2}}{n} \right )-\left ( \frac{\sum x_{i}}{n} \right )^{2}

-

 

 V=\frac{1}{n} \sum x^{2}_{i} - (\bar{x})^{2}

where \bar{x} = \frac{2+4+6+8+10}{5}

\frac{30} {5} = 6

=\frac{1}{5}(220)-36

= 44-36 = 8


Option 1)

6

This solution is incorrect

Option 2)

7

This solution is incorrect

Option 3)

8

This solution is correct

Option 4)

None of These

This solution is incorrect

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