The number of visitors to the museum your hour is recorded in one day is 106 122 134 150 120 92 75. What is the main absolute deviation for this dataset? Round To the tenth

Answer 1

To find the mean absolute deviation for this dataset, we first need to calculate the mean:

(106 + 122 + 134 + 150 + 120 + 92 + 75) / 7 = 107.1

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

|106 - 107.1| = 1.1
|122 - 107.1| = 14.9
|134 - 107.1| = 26.9
|150 - 107.1| = 42.9
|120 - 107.1| = 12.9
|92 - 107.1| = 15.1
|75 - 107.1| = 32.1

Now, we calculate the sum of these absolute deviations:

1.1 + 14.9 + 26.9 + 42.9 + 12.9 + 15.1 + 32.1 = 145.9

Finally, we find the mean absolute deviation by dividing the sum of absolute deviations by the number of data points:

145.9 / 7 = 20.84

Rounded to the nearest tenth, the main absolute deviation for this dataset is 20.8.