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)
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Answer 1

The mean speed is calculated by adding up all the speeds and then dividing by the total number of speeds.

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

Next, we calculate the absolute deviation of each speed 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 mean of these absolute deviations:

Mean absolute deviation = (5 + 2 + 1 + 5 + 4 + 15) / 6 = 32 / 6 = 5.33

Therefore, the mean absolute deviation of the set of data is 5.33.