4/13-4/17 Mean Absolute Deviation and Two-Way Frequency Tables

The Mean Absolute Deviation (MAD) is a measure of how much a data set varies. 

Example:
In the data set below, what is the mean absolute deviation? 
1, 6, 8, 5, 5, 1, 2 

Step 1:  Compute the mean,x̅ .
First add all of the numbers in the data set together. Then divide by the total number of values in the data set. 

The mean x̅ , is 4

Step 2: Take each number in the data set, subtract the mean 

Step 3: Find the absolute value of each number. (Positive Value)

Step 4: Find the mean,x̅, of the new values.
First, add the numbers. Then, divide by the number of values.


The mean absolute deviation, MAD is 2.29. 

Mean Absolute Deviation

1

Find the mean absolute deviation of
10, 7, 13, 10, 8

1

Find the mean absolute deviation of
110, 114, 104, 108, 106

1

Find the mean absolute deviation of
87, 75, 85, 77, 74, 82, 90, 88, 79, 81

1

Find the mean absolute deviation of
15, 17, 15, 17, 21, 17, 15, 23, 20, 18

1

Find the mean absolute deviation for the set below.

S= {85, 90, 68, 75, 79}

1

Sherrie just registered for her wedding. So far 6 items have been fulfilled on her registry. Find the mean price of the fulfilled items. $29, $58, $15, $129, $75, $22

1

Find the mean absolute deviation of the fulfilled items on Sherrie's registry. $29, $58, $15, $129, $75, $22

1

Find the mean absolute deviation for the set below.

S = {65, 90, 85, 70, 70, 95, 55}

Two-way Frequency Table - A statistical table that shows the frequency for two variables, the rows indicating one category and the columns indicating the other category.

Example: 

Relative Frequency - How often something happens (frequency) divided by all outcomes.

Example:
The relative frequency of female friends that enjoy skating based on the friends surveyed is 42.3%.

Two-Way Tables

Calculating Relative Frequency

For Questions 9-13, use the two-way table below.

1

How many chemical engineers chose science?

1

How many engineers chose math?

1

Overall, what was the favorite subject of all engineers?

1

What is the relative frequency of mechanical engineers who chose math? (Write your answer as a percentage)

1

What percentage of engineers surveyed were electrical engineers? (Round to the nearest whole percent)

Ninth grade students were asked whether they participate in an after-school activity. Complete the two-way frequency table below.

1

4/13-4/17 Mean Absolute Deviation and Two-Way Frequency Tables

Find the mean absolute deviation of 10, 7, 13, 10, 8

Find the mean absolute deviation of110, 114, 104, 108, 106

Find the mean absolute deviation of87, 75, 85, 77, 74, 82, 90, 88, 79, 81

Find the mean absolute deviation of15, 17, 15, 17, 21, 17, 15, 23, 20, 18

Find the mean absolute deviation for the set below.S= {85, 90, 68, 75, 79}

Sherrie just registered for her wedding. So far 6 items have been fulfilled on her registry. Find the mean price of the fulfilled items. $29, $58, $15, $129, $75, $22

Find the mean absolute deviation of the fulfilled items on Sherrie's registry. $29, $58, $15, $129, $75, $22

Find the mean absolute deviation for the set below. S = {65, 90, 85, 70, 70, 95, 55}

How many chemical engineers chose science?

How many engineers chose math?

Overall, what was the favorite subject of all engineers?

What is the relative frequency of mechanical engineers who chose math? (Write your answer as a percentage)

What percentage of engineers surveyed were electrical engineers? (Round to the nearest whole percent)

Find the mean absolute deviation of 10, 7, 13, 10, 8

Find the mean absolute deviation of110, 114, 104, 108, 106

Find the mean absolute deviation of87, 75, 85, 77, 74, 82, 90, 88, 79, 81

Find the mean absolute deviation of15, 17, 15, 17, 21, 17, 15, 23, 20, 18

Find the mean absolute deviation for the set below.S= {85, 90, 68, 75, 79}

Sherrie just registered for her wedding. So far 6 items have been fulfilled on her registry. Find the mean price of the fulfilled items. $29, $58, $15, $129, $75, $22

Find the mean absolute deviation of the fulfilled items on Sherrie's registry. $29, $58, $15, $129, $75, $22

Find the mean absolute deviation for the set below. S = {65, 90, 85, 70, 70, 95, 55}

How many chemical engineers chose science?

How many engineers chose math?

Overall, what was the favorite subject of all engineers?

What is the relative frequency of mechanical engineers who chose math? (Write your answer as a percentage)

What percentage of engineers surveyed were electrical engineers? (Round to the nearest whole percent)

Find the mean absolute deviation of
10, 7, 13, 10, 8

Find the mean absolute deviation of
110, 114, 104, 108, 106

Find the mean absolute deviation of
87, 75, 85, 77, 74, 82, 90, 88, 79, 81

Find the mean absolute deviation of
15, 17, 15, 17, 21, 17, 15, 23, 20, 18

Find the mean absolute deviation for the set below.

S= {85, 90, 68, 75, 79}

Find the mean absolute deviation for the set below.

S = {65, 90, 85, 70, 70, 95, 55}

Find the mean absolute deviation of
10, 7, 13, 10, 8

Find the mean absolute deviation of
110, 114, 104, 108, 106

Find the mean absolute deviation of
87, 75, 85, 77, 74, 82, 90, 88, 79, 81

Find the mean absolute deviation of
15, 17, 15, 17, 21, 17, 15, 23, 20, 18

Find the mean absolute deviation for the set below.

S= {85, 90, 68, 75, 79}

Find the mean absolute deviation for the set below.

S = {65, 90, 85, 70, 70, 95, 55}