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Unit 12: Intro to Statistics – Mean Absolute Deviation (MAD) Guided Notes
Vocabulary
Measurers of Variability – describe how the values in a set of data differ against a single number in the set. They are used to describe the distribution of the data.
Deviation – the distance from the mean to the data value.
Mean Absolute Deviation (MAD) – the average distance between each data value and the mean.
MAD Procedure
Example: The prices of kites at a shop: $7, $20, $9, $35, $12, $15, $7, $10, $20, $
Step 1: Find the MEAN for the entire data set
Step 2: Find the deviation (distance from the mean) for each data point
Step 3: Find the MEAN of all the distances
Big take away: The mean absolute deviation of a set of data is the average
______________ between each data value and the _____________.
Practice
Find the mean absolute deviation for each set of data. Round to the nearest tenth if necessary. Then describe what the mean absolute deviation represents.
Description of what the MAD represents : The mean absolute deviation is __________. This means that the average distance each data value is from the mean is ________ miles per hour.
Description of what the MAD represents :
The top five salaries and bottom five salaries for the 2010 New York Yankees are shown in the table below. Salaries are in millions of dollars and are rounded to the nearest hundredth.
a. Find the mean absolute deviation for each set of data. Round to the nearest hundredth. b. Write a few sentences comparing their variation. Top Five Salaries Bottom Five Salaries
Comparing the Variations : The mean absolute deviation for the bottom five salaries is much ____________ than that for the top five salaries. The data for the bottom five salaries are ____________ together than the data for the top five salaries.
- The table shows the running time in minutes for two kinds of movies. Find the mean absolute deviation for each set of data. Round to the nearest hundredth. Then write a few sentences comparing their variation.
Comedy Drama
Comparing the Variations :
