Range and Interquartile Range

​Review:

Find the mean, median, mode, and range of ​10, 9, 3, 8, 10.

Measures of variation include the IQR (interquartile range) and MAD (mean absolute deviation).​

• Mean absolute deviation describes variation in a data set and is the average distance between each data value and the mean.

• It can be calculated by finding the difference of each data value and the mean and then finding the average of that.

​To find the MAD:

Find the mean of the set of data.

Take each number in the data set, subtract the mean, and take the absolute value.

Then take the sum of the absolute values.​

Then divide the sum by the total number of values in the data set.​

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Subject | Subject

Some text here about the topic of discussion

Example: Find the MAD of 3, 3, 2, 2, 6, 8.​

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• ​3 + 3 + 2 + 2 + 6 + 8 = 24

• 24 ÷ 6 = 4

• 4 - 3 = 1

• 4 - 3 = 1

• 4 - 2 = 2

• 4 - 2 = 2

• 6 - 4 = 2

• 8 - 4 = 4​

• 1 + 1 + 2 + 2 + 2 + 4 = ​12

• 12 ÷ 6 = 2​

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The MAD is 2.