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.

38.4
Explain why the Correct Answer
is the only Correct Answer

Answer 1

[AI-generated answer — Bot GPT 3.5]

The mean absolute deviation is a measure of how spread out the values in a data set are from the mean. To calculate it, we first find the mean of the data set:

(125 + 198 + 209 + 213 + 101 + 178) / 6 = 156.7

Next, we find the absolute difference between each value and the mean:

|125 - 156.7| = 31.7
|198 - 156.7| = 41.3
|209 - 156.7| = 52.3
|213 - 156.7| = 56.3
|101 - 156.7| = 55.7
|178 - 156.7| = 21.3

Then, we find the mean of these absolute differences:

(31.7 + 41.3 + 52.3 + 56.3 + 55.7 + 21.3) / 6 = 38.4

Therefore, the mean absolute deviation of the data set is 38.4.

Answer 2

shorten it

Answer 3

[AI-generated answer — Bot GPT 3.5]

The correct answer is 38.4 because it is the average absolute difference of each value from the mean of the data set. This is calculated by finding the absolute difference between each value and the mean, finding the average of these absolute differences, which is 38.4 in this case.