Which of the following measures of spread are based on the mean?
Check all that apply.
A. Variance
B. Range
C. Standard deviation
D. Interquartile range

Question

Which of the following measures of spread are based on the mean?
Check all that apply.
  		A. 	Variance
  		B. 	Range
  		C. 	Standard deviation
  		D. 	Interquartile range

elsa213 · Answer

he five number summary gives you the minimum, lower quartile, median, upper quartile and maximum. 

From your set of data: 13.7, 24.5, 38.9, 50.0, 73.2 
Minimum = 13.7 
Lower Quartile = 24.5 
Median = 38.9 
Upper Quartile = 50.0 
Maximum = 73.2 

The interquartile range is the middle 50% of the statistics. It is calculated by subtracting the lower quartile from the upper quartile. Hence: 

IQR = 50.0 - 24.5 = 25.5