To calculate the mean absolute deviation (MAD) for the dataset, first find the mean of the data points:
Mean = (106 + 122 + 134 + 150 + 120 + 92 + 75) / 7
Mean = 799 / 7
Mean = 114.1
Next, calculate the absolute deviations for 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
Then, find the mean of the absolute deviations:
MAD = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7
MAD = 138.9 / 7
MAD = 19.8
Therefore, the mean absolute deviation for this dataset is 19.8 (rounded to the nearest tenth).
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)
Responses
799.0
799.0
114.1
114.1
138.9
138.9
19.8
19.8
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