Question

for the following set of sample data: 10,50,60,70,75,79,85,90,91,95,100,110   

find the mean

find the range

find the standard deviation

find the quartiles identify any potential outliers sketch a box and whisker plot below

Answer 1

mean calculated as

calculated as 76.25

The range caculated as =maxim -minimum=

110-10=100

Stndard deviatin calculated as

Sample Standard Deviation, 26.8467

Population Standard Deviation, σ =25.7038

the quartiles are

mmin =10

Q1=(60+70)/2=65

Q2=Median=82

Q3=93

Maximum =110

IQR=inter quartile range =Q3-Q1=28

Hnce outliers calculation as

lower limit as =Q1-1.5*IQR= 65-1.5*28=23

and upper limit as

Q3+1.5*IQR= 135

Hence it is clear that there is on outlier that is 10

box and whishker plot