Name: __________________________________________ Date: _____________________________Mean Absolute Deviation (MAD)

Find the range and mean absolute deviation of the data. Round to two decimal places, if necessary.

1. 10, 7, 13, 10, 8

2. 110, 114, 104, 108, 106

3. 87, 75, 85, 77, 74, 82

4. 15, 17, 15, 17, 21, 17, 15, 23

5. 40, 46, 41, 46, 49, 49, 46, 44, 44

6. 50.8, 51.6, 51.9, 52, 52.5, 52.8, 53.1

7. The high and low temperatures for the last seven days are given.High temperatures: 68°F, 64°F, 72°F, 66°F, 66°F, 72°F, 64°FLow temperatures: 32°F, 42°F, 47°F, 37°F, 50°F, 44°F, 47°F

a. Find the mean absolute deviation for:

Step 1:Find the Mean

Step 2:Subtract each value

from the Mean

Step 3:Take the absolute

value of each difference

Step 4:Find the mean of

the absolute values

High Temps

Low Temps

b. Compare the spreads of data by using the range.Spread of High Temps:__________________

Spread of Low Temps:__________________

c. After looking at the MAD and the range, which set of temperatures would you say are the most consistent and why?

8. The population densities (in people per square mile) of the 10 fastest-growing big cities in the United States in 2003 were 2696, 3649, 4563, 3380, 1183, 4180, 3459, 2396, 2764, and 2924. The population densities of the 10 fastest-shrinking big cities in the United States in 2003 were 5367, 7781, 7020, 5851, 4069, 6566, 1579, 4501, 5945, and 3833.

a. Find the mean absolute deviation of each set of data:Step 1:

Find the MeanStep 2:

Subtract each value from the Mean

Step 3:Take the absolute

value of each difference

Step 4:Find the mean of

the absolute values

Fastest Growing Cities

Fastest Shrinking Cities

b. Compare the spreads of data by using the range.Spread of Fastest Growing Cities:__________________

Spread of Fastest Shrinking Cities:__________________

c. After looking at the MAD and the range, which set of cities would you say have the most consistent growth/decay and why?