Find the M. A.D.

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The MAD is .8.

Step-by-step explanation:

MAD stands for Mean Absolute Deviation, which is the avg distance between each data value and the mean. Let's start by calculating the mean.

Mean = sum of values (ratings) / total number of values (frequency)

          = 1 + 3 + 3 + 4 + 4 / 1 + 2 +2

          = 3

Next let's calculate each of the distances (absolute value) from the mean, then take the average!

1 - 3 = 2 (absolute value)

3 - 3 = 0

3 - 3 = 0

4 - 3 = 1

4 - 3 = 1

Let's now take the average of the distances.

Mean = sum of distances / total number of values (frequency)

          = 2 + 0 + 0 + 1 + 1 / 1 + 2 + 2

          = .8

The MAD is .8.

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05