Question

What is the mean absolute deviation of the following data set: 4.8, 5.9, 6.2, 10.8, 1.2, 6.4?

Round the answer to the nearest tenth.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The mean absolute deviation is the average of the absolute deviations from the mean of the data set.

First, we need to find the mean of the data set:
(4.8 + 5.9 + 6.2 + 10.8 + 1.2 + 6.4) / 6 = 5.55

Next, we find the absolute deviations for each data point from the mean:
|4.8 - 5.55| = 0.75
|5.9 - 5.55| = 0.35
|6.2 - 5.55| = 0.65
|10.8 - 5.55| = 5.25
|1.2 - 5.55| = 4.35
|6.4 - 5.55| = 0.85

Now, we find the mean of these absolute deviations:
(0.75 + 0.35 + 0.65 + 5.25 + 4.35 + 0.85) / 6 ≈ 2.15

Therefore, the mean absolute deviation of the data set is approximately 2.2.