Statistics Unit Test 11 of 1511 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.(1 point)

Answer 1

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

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

Next, we calculate the absolute deviations of 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 calculate 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 = 230.6 / 6
Mean absolute deviation = 38.4

Therefore, the mean absolute deviation of the dataset is 38.4 (rounded to the nearest tenth).