Question

The table shows the number of hours that a group of friends been in the 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

A.
Mean is 10
Median is 11
Mode is 11.3
Range is 4

B.
Mean is 11
Median is 11.3
Mode is 10
Range is 0.3

C
Mean is 11.3
Median is 11
Mode is 10
Range is 4

D
Mean is 11.3
Median is 11
Mode is 10
Range is 0.3

Please help this is a test question

Answer 1

To find the mean, median, mode, and range of the times for the second week, add five hours to each of the training times. Calculate the mean by adding the new times and dividing by the number of friends. Find the median by arranging the times in ascending order and finding the middle value. There is no mode as no time repeats. Calculate the range by subtracting the smallest time from the largest time.

Step-by-step explanation:

To find the mean, median, mode, and range of the times for the second week, we need to add five hours to each of the training times. Here are the calculations:

Mean: Add the new times together and divide by the number of friends:
(9+5+5+5+7+6+7)/7 = 44/7 = 6.29

Median: Arrange the times in ascending order and find the middle value:
5, 5, 5, 6, 7, 7, 9
The median is 6.

Mode: The mode refers to the value(s) that occur most frequently. In this case, there is no mode as no time repeats.

Range: Subtract the smallest time from the largest time:
9 - 5 = 4

Therefore, the mean is 6.29, the median is 6, the mode is none, and the range is 4.