Question

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.(1 point)
Responses

114.1
114.1

138.9
138.9

799.0
799.0

19.8

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the mean absolute deviation, follow these steps:

1. Find the mean of the data set:
Mean = (106 + 122 + 134 + 150 + 120 + 92 + 75) / 7
Mean = 799 / 7
Mean = 114.14 (rounded to two decimal places)

2. Find the absolute deviations from the mean for each data point:
|106 - 114.14| = 8.14
|122 - 114.14| = 7.86
|134 - 114.14| = 19.86
|150 - 114.14| = 35.86
|120 - 114.14| = 5.86
|92 - 114.14| = 22.14
|75 - 114.14| = 39.14

3. Find the average of these absolute deviations:
Mean Absolute Deviation = (8.14 + 7.86 + 19.86 + 35.86 + 5.86 + 22.14 + 39.14) / 7
Mean Absolute Deviation = 139.86 / 7
Mean Absolute Deviation = 19.98 (rounded to two decimal places)

Therefore, the mean absolute deviation for this dataset is 19.9. Round the answer to the nearest tenth.