The number of visitors to the museum per hour recorded in one day is 106 122 134 150 120 92 75 what is the absolute deviation for the dataset

1 answer

To find the absolute deviation for the dataset, we first need to find the mean of the dataset.

Mean = (106 + 122 + 134 + 150 + 120 + 92 + 75) / 7 = 99.57 (rounded to two decimal places)

Next, we find the deviation of each data point from the mean.

Deviation from the mean for each data point:
|106 - 99.57| = 6.43
|122 - 99.57| = 22.43
|134 - 99.57| = 34.43
|150 - 99.57| = 50.43
|120 - 99.57| = 20.43
|92 - 99.57| = 7.57
|75 - 99.57| = 24.57

Now, we find the average of these deviations.

Average Deviation = (6.43 + 22.43 + 34.43 + 50.43 + 20.43 + 7.57 + 24.57) / 7 = 24.00 (rounded to two decimal places)

Therefore, the absolute deviation for the dataset is 24.00.