Statistics Unit Test

Question

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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 of the dataset, we first need to calculate the mean of the dataset:

Mean = (125 + 198 + 209 + 213 + 101 + 178) / 6
Mean = 1024 / 6
Mean = 170.67

Next, we calculate the absolute deviation for each data point:

|125 - 170.67| = 45.67
|198 - 170.67| = 27.33
|209 - 170.67| = 38.33
|213 - 170.67| = 42.33
|101 - 170.67| = 69.67
|178 - 170.67| = 7.33

Now, we calculate the mean of the absolute deviations:

Mean Absolute Deviation = (45.67 + 27.33 + 38.33 + 42.33 + 69.67 + 7.33) / 6
Mean Absolute Deviation = 230.66 / 6
Mean Absolute Deviation ≈ 38.4

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