Question

find the variance of the following data 6, 8, 10, 12, 14, 15, 18, 20, 22, 24

Answer 1

Please see the attachment

Answer 2

The variance of data is 32.89

Step-by-step explanation:

We are given the following data:

6, 8, 10, 12, 14, 15, 18, 20, 22, 24

Formula:

$\text{Variance} = \displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}$  

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.  

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{149}{10} = 14.9$

Sum of squares of differences =

79.21 + 47.61 + 24.01 + 8.41 + 0.81 + 0.01 + 9.61 + 26.01 + 50.41 + 82.81 = 328.9

$\sigma^2 = \dfrac{328.9}{10}} = 32.89$

The variance of data is 32.89

#LearnMore

Variance of the data 2, 4, 5, 6, 8, 17 is 23.33. Then variance of 4, 8, 10, 12, 16, 34 will be

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