Carol asked a random sample of 10 seventh grade student athletes and 10 seventh grade students who are not athletes how much time, in minutes, they spend studying each weeknight. She recorded her results in the table.

Student Athletes Not Student Athletes
103 62 21 100 140

65 124 45 86 114

101 135 122 43 110

62 31 80 67 126

Calculate the mean and median data values for the student athletes sample.
Calculate the mean and median data values for the not student athletes sample.
When comparing the two samples, what conclusions can you draw about which group spends more time studying each weeknight?

STUDENT ATHLETES:

MEAN: 83

MEDIAN: 90

NOT STUDENT ATHLETES:

MEAN: 85

MEDIAN: 90

Step-by-step explanation:

A. For the students athletes sample:

i. The mean of the sample is 86.3.

ii. The median of the sample is 93.

B. For the not student athletes sample:

i. The mean of this sample is 87.7.

ii. The median is 90.5.

Step-by-step explanation:

A. For the students athletes sample:

Mean =

          =

         =

         = 86.3

The mean of the sample is 86.3.

Median is the mid value of the given sample when rearranged in a definite order.

140, 124, 114, 103, 100, 86, 65,62, 45, 21

Median =

             = 93

The median of the sample is 93.

B. For the not student athletes sample:

 Mean =

           =

           =  

          = 87.7

The mean of this sample is 87.7.

To determine the median, rearrange the given sample.

135, 126, 122, 110, 101, 80, 67, 62,43,31

Median =

             =

             = 90.5

The median is 90.5.