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 you answer
6th grade math

Answer 1

[AI-generated answer — Bot GPT 3.5]

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 find the deviation 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 find the mean of these deviations:
Mean Deviation = (45.7 + 27.3 + 38.3 + 42.3 + 69.7 + 7.3) / 6
Mean Deviation = 230.6 / 6
Mean Deviation ≈ 38.4

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

Answer 2

one paraghe

Answer 3

[AI-generated answer — Bot GPT 3.5]

The mean absolute deviation of a dataset is a measure of how spread out the data points are from the mean. To calculate it, we first find the mean of the dataset by adding up all the data points and dividing by the total number of data points. Then, we find the deviation of each data point from the mean by taking the absolute value of the difference between the data point and the mean. Finally, we find the mean of these deviations to get the mean absolute deviation. In this specific case of Zara's orchard apples produced per tree, the mean absolute deviation of the dataset is 38.4 apples per tree. This means, on average, each data point is about 38.4 apples away from the mean.