Question

Find the mean and the MAD.

[Note: Type your answers as decimal numbers, rounded to the nearest tenth.]

135, 160, 145, 155, 170, 150, 142

Answer 1

Mean = 151

MAD = 9.1

Explanation:

To find the mean (average) of the numbers, you add them up and divide by the total count:

Mean = (135 + 160 + 145 + 155 + 170 + 150 + 142) / 7

Mean = 1057 / 7

Mean = 151

So, the mean of the given numbers is 151.

To find the mean absolute deviation (MAD), you need to find the absolute differences between each number and the mean, calculate their average, and round to the nearest tenth.

First, calculate the absolute differences:

|135 - 151| = 16

|160 - 151| = 9

|145 - 151| = 6

|155 - 151| = 4

|170 - 151| = 19

|150 - 151| = 1

|142 - 151| = 9

Next, calculate the average of the absolute differences:

MAD = (16 + 9 + 6 + 4 + 19 + 1 + 9) / 7

MAD = 64 / 7

MAD ≈ 9.1

So, the mean absolute deviation (MAD) of the given numbers is approximately 9.1 (rounded to the nearest tenth).