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)

Answer 1

To find the mean absolute deviation, we first need to find the mean of the dataset.

Mean = (125 + 198 + 209 + 213 + 101 + 178) / 6
Mean = 1024 / 6
Mean = 170.7

Next, we need to find the absolute deviation of each number 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

Now, we find the mean absolute deviation by finding the mean of these absolute deviations:
Mean Absolute Deviation = (45.7 + 27.3 + 38.3 + 42.3 + 69.7 + 7.3) / 6
Mean Absolute Deviation = 35.2

Therefore, the mean absolute deviation of the dataset is 35.2 (rounded to the nearest tenth).