Question

Statistics Unit Test%0D%0A11 of 1511 of 15 Items%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0A%0D%0AQuestion%0D%0AThe 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 find the mean absolute deviation (MAD) of the dataset, we first need to find the mean of the dataset.

Mean = (125 + 198 + 209 + 213 + 101 + 178) / 6
Mean = 1024 / 6
Mean = 170.67 (rounded to the nearest hundredth)

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

|125 - 170.67| = 45.67
|198 - 170.67| = 27.33
|209 - 170.67| = 38.33
|213 - 170.67| = 42.33
|101 - 170.67| = 69.67
|178 - 170.67| = 7.33

Now, find the mean absolute deviation by adding up all the absolute deviations and dividing by the number of data points:

MAD = (45.67 + 27.33 + 38.33 + 42.33 + 69.67 + 7.33) / 6
MAD = 230.66 / 6
MAD ≈ 38.4 (rounded to the nearest tenth)

Therefore, the mean absolute deviation of the dataset is approximately 38.4.