Scatterplots and Mean Absolute Deviation

A graph that shows the relationship between two sets of data graphed as ordered pairs.

• Dot Plot

• Scatter Plot

• Line Graph

• Correlation

What is Mean Absolute Deviation?

• The average distance of a data's values from the mean

• The average distance the data is from 0

• Absolute Value

• Distance

What is the first step when calculating Mean Absolute Deviation?

• Find the mean.

• Find the absolute deviations or distances from the mean.

• Find the mean of the absolute deviations.

• Find the absolute Value.

Which M.A.D. would show the most variability?

• .5

• 1

• 1.5

• 2

The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. Here is a list of the high temperatures, in degrees Celsius, for the second week. 5, 9, 7, 0, 3, 5, 5 What is the mean absolute deviation of the second week? Round to the nearest hundredths.

(a)  

What is the second step (3) when calculating the Mean Absolute Deviation?

• Find the distance each value is from the mean

  (subtract)

• Find the mean of the distances

• Find the mean of the data

What is the mean absolute deviation of the data: 15, 20, 25, 17, 18

• 4.5

• 2.8

• 4

• 3.8

Find the Mean Absolute Deviation:  10, 9, 3, 8, 10.  

• 3

• 5

• 1

• 2

What is the second step (3) when calculating the Mean Absolute Deviation?

• Find the distance each value is from the mean

  (subtract)

• Find the mean of the distances

• Find the mean of the data

What is the third step (4-5) when calculating the Mean Absolute Deviation?

• Find the distance each value is from the mean

• Find the mean of the data

• Find the mean of the new set of numbers

  (add, divide)