Question

Hours of Exercise per Week

	Number of Students	Number of Students
Hours Per Week	Class A	Class B
0	0	3
1	4	0
2	2	5
3	4	1

The data above shows the number of hours spent on exercise by students in Class A and Class B. Which of the following best describes the relationship of the median and mean of the hours of weekly exercise between the two classes?

• A. Class A has a higher median than Class B and Class B has a higher mean than Class A
• B. Class B has a higher median than Class A and Class B has a higher mean than Class A
• C. Class A and Class B have same median and Class B has a lower mean than Class A
• D. Class A and Class B have same median and Class A has a lower mean than Class B

Answer 1

Answer: (C)

Class A and Class B have same median and Class B has a lower mean than Class A

Mean of class A $=$ $\frac{0+4+2+4}{4}=2.5$

Median of class A $=0,2,4,4=$ $\frac{2+4}{2}=3$

Mean of class B $=$ $\frac{3+0+5+1}{4}=2.25$

Median of class B $=0,1,3,5=$ $\frac{1+3}{2}=2$

Therefore, Class A has higher median than Class B and Class A has higher mean than Class B.