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Thelma counted the number of apples on each of the apple trees in her backyard. She found 34 apples on her Cortland apple tree, 29 apples on her Red Delicious apple tree, 39 apples on her Empire apple tree, and 34 apples on her Fuji apple tree.
Find the mean absolute deviation (MAD) of the data set.

◻ apples

Thelma counted the number of apples on each of the apple trees in her backyard. She found $34$ apples on her Cortland apple tree, $29$ apples on her Red Delicious apple tree, $39$ apples on her Empire apple tree, and $34$ apples on her Fuji apple tree. $\newline$ Find the mean absolute deviation (MAD) of the data set. $\newline$ $\square$ apples

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Interpret measures of center and variability

Full solution

Q. Thelma counted the number of apples on each of the apple trees in her backyard. She found

34

apples on her Cortland apple tree,

29

apples on her Red Delicious apple tree,

39

apples on her Empire apple tree, and

34

apples on her Fuji apple tree.

\newline

Find the mean absolute deviation (MAD) of the data set.

\newline

\square

apples

List Apples per Tree: List the number of apples on each tree. $\newline$ Cortland: $34$ , Red Delicious: $29$ , Empire: $39$ , Fuji: $34$ .
Calculate Mean: Calculate the mean (average) number of apples. $\newline$ $(34 + 29 + 39 + 34) / 4 = 136 / 4 = 34$ . $\newline$ Mean: $34$ apples.
Find Absolute Deviations: Find the absolute deviations from the mean for each tree. $\newline$ Cortland: $|34 - 34| = 0$ , Red Delicious: $|29 - 34| = 5$ , Empire: $|39 - 34| = 5$ , Fuji: $|34 - 34| = 0$ .
Calculate Mean Deviations: Calculate the mean of these absolute deviations. $\newline$ $(0 + 5 + 5 + 0) / 4 = 10 / 4 = 2.5$ . $\newline$ Mean absolute deviation: $2.5$ apples.

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