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 to the nearest tenth

Answer 1

To find the mean absolute deviation, first calculate the mean of the dataset:

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

Next, calculate the absolute deviation for each data point from the mean:

106: |106 - 114.1| = 8.1
122: |122 - 114.1| = 7.9
134: |134 - 114.1| = 19.9
150: |150 - 114.1| = 35.9
120: |120 - 114.1| = 5.9
92: |92 - 114.1| = 22.1
75: |75 - 114.1| = 39.1

Now, calculate the mean of these absolute deviations:

Mean Absolute Deviation = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7
Mean Absolute Deviation = 139.9 / 7
Mean Absolute Deviation = 19.9857 (rounded to 1 decimal place)
Mean Absolute Deviation = 20.0

Therefore, the mean absolute deviation for this dataset is 20.0.