Question

The number of apples produced per tree in Zara’s orchard is 125, 198, 209, 213, 101, 178. What is the mean absolute deviation of the dataset? Round to the nearest tenth.(1 point)
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Answer 1

To find the mean absolute deviation, follow these steps:

1. Calculate the mean of the dataset:
Mean = (125 + 198 + 209 + 213 + 101 + 178) / 6
Mean = 1024 / 6
Mean = 170.7

2. Calculate the absolute deviations for each data point from the mean:
|125 - 170.7| = 45.7
|198 - 170.7| = 27.3
|209 - 170.7| = 38.3
|213 - 170.7| = 42.3
|101 - 170.7| = 69.7
|178 - 170.7| = 7.3

3. Calculate the mean of the absolute deviations:
Mean absolute deviation = (45.7 + 27.3 + 38.3 + 42.3 + 69.7 + 7.3) / 6
Mean absolute deviation = 230.6 / 6
Mean absolute deviation ≈ 38.4

Therefore, the mean absolute deviation of the dataset is approximately 38.4 when rounded to the nearest tenth.