The number of apples produced per tree in Zara’s orchard is 125, 198, 209, 213, 101, 178. What is the mean absolute deviation of the dataset? Round to the nearest tenth
To find the mean absolute deviation, we first need to find the mean of the dataset:
(125 + 198 + 209 + 213 + 101 + 178) / 6 = 1024 / 6 = 170.7
Next, we calculate the absolute deviations from the mean for each data point:
|125 - 170.7| = 45.7
|198 - 170.7| = 27.3
|209 - 170.7| = 38.3
|213 - 170.7| = 42.3
|101 - 170.7| = 69.7
|178 - 170.7| = 7.3
Now, we find the mean of these absolute deviations:
(45.7 + 27.3 + 38.3 + 42.3 + 69.7 + 7.3) / 6 = 230.6 / 6 = 38.4
Therefore, the mean absolute deviation of the dataset is 38.4 apples.