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

Last updated over 5 years ago
18 questions
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,xÌ… .
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 xÌ… , 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,xÌ…, 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
1
1
1
1