Leon counts the number of bugs he finds on his tomato plants each day and collects the following data: 18, 24, 15, 9, 10. The mean is 15.2. What is the final equation that he would use in determining the mean absolute deviation? Round each value to the nearest tenth. (2 points)

Box/ Box= Box

3 answers

To calculate the mean absolute deviation, Leon would subtract the mean from each of the data points, take the absolute value of each difference, calculate the average of these absolute differences, and then round to the nearest tenth.

The differences from the mean for each data point are:

1. |18 - 15.2| = 2.8
2. |24 - 15.2| = 8.8
3. |15 - 15.2| = 0.2
4. |9 - 15.2| = 6.2
5. |10 - 15.2| = 5.2

The average of these absolute differences is: (2.8 + 8.8 + 0.2 + 6.2 + 5.2) / 5 = 5.6

Therefore, the final equation Leon would use in determining the mean absolute deviation is:

MAD = 5.6
The last one is 4.6
Apologies for the error. Let's recalculate the average correctly:

The correct calculation for the average of the absolute differences is: (2.8 + 8.8 + 0.2 + 6.2 + 5.2) / 5 = 4.6

Therefore, the final equation Leon would use in determining the mean absolute deviation is:

MAD = 4.6

Thank you for catching that mistake.