The number of Apple produced per tree in zaria's orchardes 125 198 209 213 101 178 what is the main absolute deprivation of the data set round to the nearest tenth

Answer 1

To find the absolute deviation of the data set, we first need to calculate the mean.

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

Next, we find the absolute deviation for each data point by subtracting the mean from each value and taking the absolute value:

|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 average of these absolute deviations:

(45.7 + 27.3 + 38.3 + 42.3 + 69.7 + 7.3) / 6
= 230.6 / 6
≈ 38.4

Therefore, the main absolute deviation of the data set is approximately 38.4 when rounded to the nearest tenth.