Question

Summarize the center of the data set below by determining the median.

96, 98, 56, 88

Answer 1

The median of this data set is 92.

Answer 2

What is the mean average deviation (MAD) of the data set shown below? Round your answer to the nearest tenth when necessary.

45, 49, 43, 40, 33

Answer 3

To find the mean absolute deviation (MAD), you first need to find the mean of the data set:

Mean = (45+49+43+40+33)/5 = 42

Next, find the absolute deviation of each data point from the mean, by subtracting the mean from each data point and taking the absolute value:

|45 - 42| = 3
|49 - 42| = 7
|43 - 42| = 1
|40 - 42| = 2
|33 - 42| = 9

Then, find the average of the absolute deviations:

(3+7+1+2+9)/5 = 4.4

So the mean absolute deviation (MAD) of the data set is approximately 4.4 (rounded to the nearest tenth).

Answer 4

Summarize the center of the data set below by determining the median.

20, 18, 26, 24, 32