Question

find the mad of the data set: 2, 4, 5, 6, 8, 9, 13, 14, 15, 18. round to the nearest hundredth as needed.1pt)

Answer 1

To find the Mean Absolute Deviation (MAD), follow these steps:

1. Find the mean of the data set.
2. Find the absolute deviation of each data value from the mean.
3. Find the mean of these absolute deviations.

Step 1: Find the mean of the data set
(2 + 4 + 5 + 6 + 8 + 9 + 13 + 14 + 15 + 18) / 10 = 94 / 10 = 9.4

Step 2: Find the absolute deviation of each data value from the mean
|2 - 9.4| = 7.4
|4 - 9.4| = 5.4
|5 - 9.4| = 4.4
|6 - 9.4| = 3.4
|8 - 9.4| = 1.4
|9 - 9.4| = 0.4
|13 - 9.4| = 3.6
|14 - 9.4| = 4.6
|15 - 9.4| = 5.6
|18 - 9.4| = 8.6

Step 3: Find the mean of these absolute deviations
(7.4 + 5.4 + 4.4 + 3.4 + 1.4 + 0.4 + 3.6 + 4.6 + 5.6 + 8.6) / 10 = 44.8 / 10 = 4.48

So, the MAD of the data set is 4.48.