Calculate the average deviation from the mean of the following dataset 39, 42, 36, 47, 44, 43, 36. , brown your answer to the nearest 100. The average deviation from the mean is what?
First, we need to find the mean of the dataset:
(39 + 42 + 36 + 47 + 44 + 43 + 36) / 7 = 37.857
Next, we calculate the deviations from the mean for each data point:
|39 - 37.857| = 1.143
|42 - 37.857| = 4.143
|36 - 37.857| = 1.857
|47 - 37.857| = 9.143
|44 - 37.857| = 6.143
|43 - 37.857| = 5.143
|36 - 37.857| = 1.857
Now, we find the average of these deviations:
(1.143 + 4.143 + 1.857 + 9.143 + 6.143 + 5.143 + 1.857) / 7 = 4.143
Rounded to the nearest hundredth, the average deviation from the mean is 4.14.