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 five hours to their training times. What are the mean, median, mode, and range of times for the second week? Jeff 9 Mark 5 Karen 5 Costas 5 Brett 7 Nikki 6 Jack 7 thankyou!! a) mean = 10 median = 11 mode = 11.3 range = 4 b) mean = 11 median = 11.3 mode = 10 range = 0.3 c) mean = 11.3 median = 11 mode = 10 range = 4 d) mean = 11.3 median = 11 mode = 10 range = 0.3
To calculate the mean, median, mode, and range for the second week, first, we need to add 5 hours to each of their training times:
Jeff: 9 + 5 = 14
Mark: 5 + 5 = 10
Karen: 5 + 5 = 10
Costas: 5 + 5 = 10
Brett: 7 + 5 = 12
Nikki: 6 + 5 = 11
Jack: 7 + 5 = 12
Mean = (14 + 10 + 10 + 10 + 12 + 11 + 12) / 7 = 79 / 7 = 11.3
In the second week, the training times of the friends are: 10, 10, 10, 11, 12, 12, 14
The median is the middle number when the values are listed in order: 10, 10, 10, 11, 12, 12, 14
Median = 11
The mode is the number that appears most frequently, and in this case, there is no number that appears more than once, so there is no mode.
The range is the difference between the highest and lowest values:
Range = 14 - 10 = 4
Therefore, the correct answer is:
c) mean = 11.3 median = 11 mode = 10 range = 4.