Statistics Unit Test 9 of 156 of 15 Items 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.

Answer 1

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

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

Next, we find 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

Now, we find the average of these absolute deviations:

(45.7 + 27.3 + 38.3 + 42.3 + 69.7 + 7.3) / 6 = 230.6 / 6 ≈ 38.4

Therefore, the mean absolute deviation of the dataset is approximately 38.4.