The number of visitors to a museum per hour recorded in one day is 106, 122, 134, 150, 120, 92, 75. What is the mean absolute deviation for this dataset? Round the answer to the nearest tenth. (1 point)

Answer 1

To find the mean absolute deviation, we first need to find the mean of the dataset.

Mean = (106 + 122 + 134 + 150 + 120 + 92 + 75) / 7
Mean = 799 / 7
Mean = 114.1

Next, we calculate the absolute deviations for each data point:
|106 - 114.1| = 8.1
|122 - 114.1| = 7.9
|134 - 114.1| = 19.9
|150 - 114.1| = 35.9
|120 - 114.1| = 5.9
|92 - 114.1| = 22.1
|75 - 114.1| = 39.1

Now, we find the mean of the absolute deviations:
Mean Absolute Deviation = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7
Mean Absolute Deviation = 139.9 / 7
Mean Absolute Deviation = 19.986

Rounded to the nearest tenth, the mean absolute deviation for this dataset is 20.0.