Question

Question 3 1 pts Calculate Sample Variance for the following data collection: 10, 11, 12, 13, 14, 18. O 8.0 O 6.8 4.6 O 2.4

Answer 1

3)

Formula for variance -

$s^2= \frac{ \sum( x - \bar{x})^2}{n-1}$

Where, $\bar{x}$ is sample mean .

$\bar{x} = \frac{\sum x}{n}$

n is sample size.

Calculation -

Variance = s² = 8

4)

Formula for sample standard deviation -

$s=\sqrt{ \frac{\sum( x - \bar{x})^2}{n-1}}$

(x - xbar) (x- xbar )A2 (4-10)-6 6 (6-10)4 10 (10- 10)-0 14 (14-10) 4 16 (16-10) 36 16 C) 16 36 Σ( x-xbar )-104 Total Mean xbar sample Variance - Sample standard deviati Σχ:50 50/5 10 104/(5-1) 26

Sample standard deviation = s = 5.10