# 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

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

### Preparation Products

##### Knockout BITSAT 2020

It is an exhaustive preparation module made exclusively for cracking BITSAT..

₹ 4999/- ₹ 1999/-
##### Knockout BITSAT 2021

It is an exhaustive preparation module made exclusively for cracking BITSAT..

₹ 4999/- ₹ 2999/-
##### Knockout BITSAT-JEE Main 2021

An exhaustive E-learning program for the complete preparation of JEE Main and Bitsat.

₹ 27999/- ₹ 16999/-