Question

Find the

MAD. [Note: Type your answers as decimal numbers, rounded to the nearest tenth.] 135, 160, 145, 155, 170, 150, 142 MAD:​

Answer 1

The Mean Absolute Deviation (MAD) of the data set is approximately 9.1

Here's the data set: 135, 160, 145, 155, 170, 150, 142

Calculate the mean:

(135 + 160 + 145 + 155 + 170 + 150 + 142) / 7 = 1,057 / 7 ≈ 150.7

Find the absolute deviations from the mean:

|135 - 150.7| = 15.7

|160 - 150.7| = 9.3

|145 - 150.7| = 5.7

|155 - 150.7| = 4.3

|170 - 150.7| = 19.3

|150 - 150.7| = 0.7

|142 - 150.7| = 8.7

Calculate the mean of the absolute deviations:

(15.7 + 9.3 + 5.7 + 4.3 + 19.3 + 0.7 + 8.7) / 7 ≈ 9.1