Standard Deviation (Basic Statistics)

2.2.2 Questions: Basic Statistics Review

1.) Mean

Data Set: 5,6,9,10,11,12,14

5+6+9+10+11+12+14=67

67/7= 9.57

2.) Median & Mode

Data Set: 5,6,9,10,11,12,14

Median: 10

Mode: No mode

3.) Standard Deviation

Data Set: 5,6,9,10,11,12,14

√∑(xi-u)/n-1

∑(-4.57)^2+(-3.57)^2+(-.57)^2+(.43)^2+(1.43)^2+(2.43)^2+(4.43)^2

∑(20.88)+(12.74)+(.32)+(.18)+(2.04)+(5.90)+(19.62)

√61.68/6=10.28

√10.28= 3.21

4.) Standard Deviation

Data Set: 4,6,8,9,14,16 Data Set: 4,4,5,6,10,14

Mean= 9.5 Mean: 5.5

√∑(xi-u)/n-1 √∑(xi-u)/n-1

√∑(-5.5)^2+(-3.5)^2+(-1.5)^2+(-0.5)^2+(4.5)^2+(6.5)^2 √∑ (-1.5)^2+(-1.5)^2+(-.5)^2+(.5)^2+(4.5)^2+(8.5)^2

√(2.34)+(12.25)+(2.25)+(.25)+(20.25)+(42.25) √(2.25)+(2.25)+(.25)+(.25)+(20.25)+(72.25)

√79.59/5= 15.92 √97.50/5= 19.5

√15.92= 3.99 √19.5= 4.42

5.) Range

Data Set: 5,6,9,10,11,12,14 Data Set: 4,6,8,9,14,16

14-5= 9 16-4= 12