To calculate the mean for the student athletes sample, we add up all the values and divide by the number of values:
(103 + 62 + 21 + 100 + 140 + 65 + 124 + 45 + 86 + 114) / 10 = 89.6
To calculate the median for the student athletes sample, we need to find the middle value. We first need to list the values in order:
21, 45, 62, 65, 86, 100, 103, 114, 124, 140
Since there are an even number of values, we take the average of the two middle values:
Median = (86 + 100) / 2 = 93
To calculate the mean for the not student athletes sample, we add up all the values and divide by the number of values:
(101 + 135 + 122 + 43 + 110 + 62 + 31 + 80 + 67 + 126) / 10 = 87.7
To calculate the median for the not student athletes sample, we need to find the middle value. We first need to list the values in order:
31, 43, 62, 67, 80, 101, 110, 122, 126, 135
Since there are an even number of values, we take the average of the two middle values:
Median = (101 + 110) / 2 = 105.5
Comparing the means, we see that the student athletes sample has a mean of 89.6 while the not student athletes sample has a mean of 87.7. This suggests that student athletes spend slightly more time studying each weeknight on average.
Comparing the medians, we see that the student athletes sample has a median of 93 while the not student athletes sample has a median of 105.5. This suggests that the not student athletes spend more time studying each weeknight on average.
Overall, we can conclude that while there may be some individual student athletes who spend more time studying than individual not student athletes, the not student athletes sample as a whole tends to spend more time studying each weeknight.
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?
1 answer