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).

Answer 1

Thank ku

Answer 2

To find the mean absolute deviation (MAD), we first need to calculate the mean of the dataset.

Mean = (4.8 + 5.9 + 6.2 + 10.8 + 1.2 + 6.4) / 6
= 35.3 / 6
= 5.88 (rounded to the nearest hundredth)

Next, we find the deviations of each data point from the mean and take their absolute values:

|4.8 - 5.88| = 1.08
|5.9 - 5.88| = 0.02
|6.2 - 5.88| = 0.32
|10.8 - 5.88| = 4.92
|1.2 - 5.88| = 4.68
|6.4 - 5.88| = 0.52

Now, we calculate the mean of these deviations:

MAD = (1.08 + 0.02 + 0.32 + 4.92 + 4.68 + 0.52) / 6
= 11.54 / 6
= 1.923 (rounded to the nearest thousandth)

Therefore, the mean absolute deviation of the dataset is approximately 1.9.

Answer 3

You're welcome! If you have any more questions, feel free to ask.