Mean Absolute Deviation and Variability

The video tutorial explains how to determine which data set has greater variability using the Mean Absolute Deviation (MAD). It starts by calculating the mean for data set A, followed by finding the deviations of each number from the mean. The MAD for data set A is calculated as 2.4. The process is repeated for data set B, which also has a mean of 8 but a lower MAD of 0.8. The tutorial concludes that data set A has greater variability, as evidenced by its wider range and higher MAD.

What is the purpose of using Mean Absolute Deviation (MAD) in data analysis?

• To determine the mode of a data set

• To calculate the median of a data set

• To measure the variability within a data set

• To find the average of a data set

What is the mean of Data Set A?

• 10

• 12

• 5

• 8

How much does the number 3 deviate from the mean in Data Set A?

• 1

• 7

• 3

• 5

What is the Mean Absolute Deviation (MAD) for Data Set A?

• 4.8

• 3.6

• 2.4

• 1.2

What is the mean of Data Set B?

• 10

• 8

• 12

• 6

What is the total deviation for Data Set B?

• 2

• 4

• 6

• 8

What is the Mean Absolute Deviation (MAD) for Data Set B?

• 1.0

• 0.8

• 0.6

• 0.4

Which data set has greater variability?

• Data Set B

• Cannot be determined

• Data Set A

• Both have the same variability