Question

Each number in the table below represents the number of employees at different stores in two nearby malls.Part ADetermine the interquartile range for numbers of employees at each mall. Show your work or explain your reasoning.Part BWhich mall would you expect to have greater variability in regard to numbers of employees? Show your work or explain your reasoning.

Answer 1

Solution

Part A

For this case we need to remember that by deifnition the IQR is given by:

IQR= Q3-Q1

Where:

Q3= third quartile and Q1= First quartile

Then we can find the values for each mall and we have:

Vallet View Mall

Q3=24.5 , Q1= 6 IQR= 18.5

Lone Pines Mall

Q3= 21.5 , Q1= 8 IQR= 13.5

Part B

Greater variablity with higher IQR then the answer is:

Vallet View Mall

Since the IQR = 18.5 higher than the Lone Pines Mall IQR of 13.5