To find the mean absolute deviation (MAD), first we need to find the mean of the dataset.
The mean is calculated by adding up all the numbers in the dataset and dividing by the total number of values:
Mean = (106 + 122 + 134 + 150 + 120 + 92 + 75) / 7
Mean = 799 / 7
Mean = 114.1
Next, we need to find the absolute deviation for each value. The absolute deviation is the absolute value of the difference between each value and the mean.
Absolute Deviation = |Value - Mean|
For the first value, the absolute deviation is |106 - 114.1| = 8.1
For the second value, the absolute deviation is |122 - 114.1| = 7.9
For the third value, the absolute deviation is |134 - 114.1| = 19.9
For the fourth value, the absolute deviation is |150 - 114.1| = 35.9
For the fifth value, the absolute deviation is |120 - 114.1| = 5.9
For the sixth value, the absolute deviation is |92 - 114.1| = 22.1
For the seventh value, the absolute deviation is |75 - 114.1| = 39.1
Now, we need to find the mean of these absolute deviations.
Mean of Absolute Deviations = (8.1 + 7.9 + 19.9 + 35.9 + 5.9 + 22.1 + 39.1) / 7
Mean of Absolute Deviations = 138.9 / 7
Mean of Absolute Deviations = 19.8
Therefore, the mean absolute deviation for this dataset is 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)
Responses
138.9
138.9
114.1
114.1
799.0
799.0
19.8
1 answer