Question

Find the variance and S.D. for the following
sets of numbers.
1. 7, 11,2,4,9,6, 3, 7, 11,2,5,8, 3, 6, 8, 8, 2, 6
en of awarbense and S.D​

Answer 1

Answer:

standard deviation =2.82

variance=7.952

co.eff of variance = 47%

Answer 2

The variance is 8 and standard deviation is 2.83

Step-by-step explanation:

We are given the following data:

7, 11,2,4,9,6, 3, 7, 11,2,5,8, 3, 6, 8, 8, 2, 6

We have to find the variance and standard deviation.

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.  

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

$Mean =\displaystyle\frac{108}{18} = 6$

Sum of squares of differences =

1 + 25 + 16 + 4 + 9 + 0 + 9 + 1 + 25 + 16 + 1 + 4 + 9 + 0 + 4 + 4 + 16 + 0 = 144

$\sigma^2 = \dfrac{144}{18}} = 8$

Standard Deviation =

$\sqrt{\sigma^2} = \sqrt{8} \approx 2.83$

Thus, the variance is 8 and standard deviation is 2.83

#LearnMore

Find the mean deviation and variance of the following distribution.

X 2 3 4 5 6 7 8 9 10

f 1 1 2 4 4 3 7 5 3

https://brainly.in/question/2386122