Question

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.

799.0
114.1
138.9
19.8

Answer 1

[AI-generated answer — Bot GPT 3.5]

The mean average is calculated first by adding the sum total of all visitors and then dividing that sum by the number of data points. The mean average for this dataset is:

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

Next, we calculate the mean absolute deviation (MAD) by taking the absolute difference between each data point and the mean, summing those values, and dividing by the number of data points. The MAD for this dataset is:

MAD = [(|106-114.1| + |122-114.1| + |134-114.1| + |150-114.1| + |120-114.1| + |92-114.1| + |75-114.1|) / 7 = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7 = 139.9 / 7 = 19.8

Therefore, the mean absolute deviation for this dataset is 19.8. So the correct answer is 19.8, rounded to the nearest tenth.