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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

Study Guide and Review

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Exercise 9 Page 813

The mean absolute deviation is the average of the absolute values of the differences between the mean and each value in the data set. Start by calculating the mean of the given set of numbers.

Mean Absolute Deviation: $0.88$
Interpretation: The number of driveways shoveled each day is, on average, $0.88$ units away from the mean of $3.4 .$

Practice makes perfect

The mean absolute deviation (MAD) is the average of the absolute values of the differences between the mean and each value in the data set. We will start by calculating the mean of the given set of numbers.

Mean

The mean of a data set

\overline{x}

is calculated by finding the sum of all of the values in the set and then dividing by the number of values in the set. In this case, there are

5

values in the set.

Mean = \frac{Sum of values}{Number of values}

SubstituteValues

Substitute values

\overline{x} = \frac{2 + 4 + 3 + 5 + 3}{5}

Add terms

\overline{x} = \frac{1 7}{5}

Calculate quotient

\overline{x} = 3.4