To calculate 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 find the absolute deviation for each data point by taking the absolute value of the difference between each data point and the mean, then we calculate the mean of the absolute deviations:
|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
Mean Absolute Deviation = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7
Mean Absolute Deviation = 138.9 / 7
Mean Absolute Deviation ≈ 19.8
Therefore, the mean absolute deviation for this dataset is approximately 19.8.
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)
114.1
○ 138.9
○ 799.0
○ 19.8
1 answer
1 answer