Question

Use the following sample Epworth Sleepiness Scores for the problems below;6, 4, 3, 5, 4, 2, 4, 5, 4, 6, 1, 4, 5, 2Sample variance=Sample Standard Deviation=Round to the nearest hundredths place.

Answer 1

Given

sample Epworth Sleepiness Scores for the problems below;

6, 4, 3, 5, 4, 2, 4, 5, 4, 6, 1, 4, 5, 2

Find

Sample variance and Sample Standard Deviation

Step-by-step explanation

sample variance is given by

`S^2=\frac{\sum_^(x-\bar{x})^2}{n-1}`

here n = 14

mean = 6+4+3+5+4+2+4+5+4+6+1+4+5+2/14

mean = 3.14

`\sum_^(x-\bar{x})^2=28.9296`

so variance =

`\begin{gathered} (28.9296)/(14-1) \\ \\ (28.9296)/(13) \\ \\ 2.22 \end{gathered}`

sample standard deviation = square root of variance

so ,

`\begin{gathered} √(2.22) \\ 1.48996644258\approx1.49 \end{gathered}`

Final Answer

Hence ,

Sample variance = 2.22

Sample Standard Deviation = 1.49