Mean Median Mad

What is the mean absolute deviation of the data: 15, 20, 25, 17, 18

• 4.5

• 2.8

• 4

• 3.8

Find the Mean Absolute Deviation: 10, 9, 3, 8, 10. The Mean is 8

• 3

• 1

• 5

• 2

Find the MAD: (mean absolute deviation)

58, 38, 54, 48, 26, 36

• 10

• 20

• 12

• 43

What is the Mean and Mean Absolute Deviation of 24, 13, 12, 1, and 0? (a)  

• Mean:10Mad:6.7

• Mean: 7.6MAD:10

• Mean:10MAD:7.6

• Mean-6.7MAD-7.6

These data show the ages of students in a community play: 12, 9, 11, 9, 15, 11, 9, 11, 12. Which data point could be removed from the set without changing the mean or the median of the data?

• 9

• 11

• 12

• 15

Answer explanation

Removing the data point '9' will not change the mean or median as it appears multiple times in the set, thus not affecting the central tendencies.

A. The student saw that this will not change the median.

B. Correct. The student demonstrated an ability to describe the impact that deleting a data point has on the mean and

the median of a data set.

C. The student saw that this will not change the median.

D. The student saw that this will not change the median.

Tags

PA.D.1.1

A store sells loaves of bread. The table below shows the number of loaves of bread sold each day for a week. What is the difference between the mean and median number of loaves of bread sold?

• 8

• 12

• 19

• 25

Find the median of the data set.

• 3

• 7

• 10

• 14

A group of  7 students was asked, "How many hours did you watch television last week?" Here are their responses.

10, 11, 4, 17, 11, 11, 5

Find the median and mean number of hours for these students.

If necessary, round your answers to the nearest tenth.

The mean is ​ (a)   . The median is ​ ​ (b)   .

• 9.9

• 9.8

• 11

• 17

What is the relationship of the mean and the median?

• The mean is greater than the median.

• The mean is less than the median.

• The mean and median are about equal.

• There is not enough information to know.