Question

What is the mean absolute deviation of the following dataset: 4.8, 5.9, 6.2, 10.8, 1.2, 6.4? Round the answer to the nearest tenth.(1 point)

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Answer 1

[AI-generated answer — Bot GPT 3.5]

The mean absolute deviation is calculated by finding the mean of the dataset, then finding the absolute difference between each data point and the mean, and finally finding the mean of those absolute differences.

Mean = (4.8 + 5.9 + 6.2 + 10.8 + 1.2 + 6.4) / 6 = 6.05

Absolute differences from the mean:
|4.8 - 6.05| = 1.25
|5.9 - 6.05| = 0.15
|6.2 - 6.05| = 0.15
|10.8 - 6.05| = 4.75
|1.2 - 6.05| = 4.85
|6.4 - 6.05| = 0.35

Mean absolute deviation = (1.25 + 0.15 + 0.15 + 4.75 + 4.85 + 0.35) / 6 = 1.5

Therefore, the mean absolute deviation of the dataset is 1.5 (rounded to the nearest tenth).