16. The table shows the number of hours that a group of teammates spent in their first week of training for the track finals. In the second week, they each add 6 hours to their training times.
What are the mean, median, mode, and range of times for the second week?
10,8,12,6,5,4,10
The second week of training times (with 6 hours added to each) would be:
16, 14, 18, 12, 11, 10, 16
To find the mean, you add up all the times and divide by the total number of times:
(16 + 14 + 18 + 12 + 11 + 10 + 16) / 7 = 97 / 7 ≈ 13.86
So the mean training time for the second week is approximately 13.86 hours.
To find the median, you put all the times in order from least to greatest and find the middle value:
10, 11, 12, 14, 16, 16, 18
The middle value is 14, so the median training time for the second week is 14 hours.
To find the mode, you look for the value that appears most frequently. In this case, no value appears more than once, so there is no mode.
To find the range, you subtract the smallest value from the largest value:
18 - 10 = 8
So the range of training times for the second week is 8 hours.