The table shows the number of hours that a group of friends spent in their first week training to run a marathon. In the second week, they each add 4 hours to their training times. What are the mean, median, mode, and range of times for the second week?

Jeff
5
Mark
10
Karen
5
Costas
9
Brett
7
Nikki
5
Jack
7

1 answer

In the second week, the friends each add 4 hours to their training times:
Jeff: 5 + 4 = 9 hours
Mark: 10 + 4 = 14 hours
Karen: 5 + 4 = 9 hours
Costas: 9 + 4 = 13 hours
Brett: 7 + 4 = 11 hours
Nikki: 5 + 4 = 9 hours
Jack: 7 + 4 = 11 hours

To find the mean, add up all the times and divide by the number of friends:
(9 + 14 + 9 + 13 + 11 + 9 + 11) / 7 = 76 / 7 = 10.86 hours

To find the median, arrange the times in numerical order and find the middle value:
5, 7, 9, 9, 11, 11, 13, 14
The median is 9 hours

To find the mode, determine which time occurs most frequently:
The mode is 9 hours

To find the range, subtract the smallest time from the largest time:
14 - 5 = 9 hours

Therefore, the mean is 10.86 hours, the median is 9 hours, the mode is 9 hours, and the range is 9 hours for the second week of training.