Question 6 7 points For the data below 14 18 17 18 19 21 30

Question 6: (7 points) For the data below,

14

18

17

18

19

21

30

18

22

80

25

22

Calculate the sample variance and sample standard deviation. Show all your work.

Solution

mean= (14+30+18+18+17+22+18+80+19+25+21+22)/12 = 25.33

variance= ((14-25.33)²+(30-25.33)²?+(18-25.33)²?+(18-25.33)²?+(17-25.33)²?+(22-25.33)²?+(18-25.33)²?+(80-25.33)²?+(19-25.33)²?+(25-25.33)²?+(21-25.33)²?+(22-25.33)²? )/12 = 287.5

standard deviation= square root of variance = sqrt(287.5)= 16.956