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 = 799 / 7 ≈ 114.1
Next, we calculate the absolute deviations of each data point from the mean.
|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 these absolute deviations.
Mean of Absolute Deviations = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7 ≈ 19.1
Therefore, the mean absolute deviation for this dataset is approximately 19.1.
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