To find the mean absolute deviation (MAD), 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 from the mean 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 calculate the average of these absolute deviations:
MAD = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7
MAD = 139.9 / 7
MAD = 19.99
Rounded to the nearest tenth, the mean absolute deviation for this dataset is approximately 20.0.
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 answer