Question

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. (1 point)

Answer 1

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

Mean = (125 + 198 + 209 + 213 + 101 + 178) / 6
Mean = 1024 / 6
Mean = 170.7

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

|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 sum of the absolute deviations:

45.7 + 27.3 + 38.3 + 42.3 + 69.7 + 7.3 = 230.6

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

Mean Absolute Deviation = 230.6 / 6
Mean Absolute Deviation = 38.4

So, the mean absolute deviation of the dataset is 38.4 (rounded to the nearest tenth).