Understanding Mean Absolute Deviation

What is the mean absolute deviation?

• The median of the data set

• The difference between the highest and lowest data values

• The average distance between each data value and the mean

• The sum of all data values

What is the first step in calculating the mean absolute deviation?

• Find the median of the data set

• Calculate the range of the data set

• Find the mean of the data set

• List all data values in ascending order

How do you find the absolute difference in the context of mean absolute deviation?

• Subtract the smallest value from the largest value

• Add all data values together

• Subtract the mean from each data value and take the absolute value

• Divide the total sum by the number of data values

What does a mean absolute deviation of 50 cents indicate in the movie theater example?

• The total sum of all prices is 50 cents

• The average distance of each price from the mean is 50 cents

• The range of prices is 50 cents

• Each price is exactly 50 cents

In the heart rate example, what is the mean of Katie's data set?

• 75

• 71

• 68

• 63

What is the mean of Danielle's heart rate data set?

• 71

• 74

• 67

• 68

How does Danielle's mean absolute deviation compare to Katie's?

• Danielle's is greater than Katie's

• Danielle's is twice as much as Katie's

• Danielle's is less than Katie's

• They are equal

What does a smaller mean absolute deviation indicate about a data set?

• The data set has more values

• The data set has fewer values

• The data values are closer to the mean

• The data values are more spread out

What is the significance of comparing mean absolute deviations?

• To determine the total sum of data values

• To find the highest and lowest values

• To compare the variation in different data sets

• To calculate the median of the data sets

What conclusion can be drawn if one data set has a higher mean absolute deviation than another?

• The data set with the higher deviation has values closer to the mean

• The data set with the higher deviation has more variation

• The data set with the higher deviation has fewer values

• The data set with the higher deviation has a lower mean