Question

The list shows the recorded speeds of several cars on a busy street.

35, 38, 41, 35, 36, 55

What is the mean absolute deviation of the set of data? (Round to the nearest hundredth)

Answer 1

To calculate the mean absolute deviation (MAD), we first need to find the mean of the data set:

Mean = (35 + 38 + 41 + 35 + 36 + 55) / 6
Mean = 240 / 6
Mean = 40

Next, we calculate the absolute deviation of each data point from the mean:

|35-40| = 5
|38-40| = 2
|41-40| = 1
|35-40| = 5
|36-40| = 4
|55-40| = 15

Now, we find the average of these absolute deviations to get the mean absolute deviation:

MAD = (5 + 2 + 1 + 5 + 4 + 15) / 6
MAD = 32 / 6
MAD = 5.33

Therefore, the mean absolute deviation of the set of data is 5.33 (rounded to the nearest hundredth).