Question

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..........

Answer 1

divide by what

Answer 2

To calculate the mean absolute deviation (MAD), Leon first needs to find the absolute difference between each data point and the mean, then calculate the mean of those absolute differences.

Given data: 18, 24, 15, 9, 10
Mean = 15.2

Absolute differences:
|18 - 15.2| = 2.8
|24 - 15.2| = 8.8
|15 - 15.2| = 0.2
|9 - 15.2| = 6.2
|10 - 15.2| = 5.2

Calculating the mean absolute deviation:
(2.8 + 8.8 + 0.2 + 6.2 + 5.2) / 5 = 4.6

Therefore, the final equation for determining the mean absolute deviation would be:
MAD = 4.6

Answer 3

I apologize for the confusion in my previous response. To calculate the mean absolute deviation (MAD), you divide the sum of the absolute differences by the total number of data points.

In this case:
Sum of absolute differences = 2.8 + 8.8 + 0.2 + 6.2 + 5.2 = 23.2
Total number of data points = 5

Mean absolute deviation:
MAD = 23.2 / 5 = 4.6

Therefore, the correct final equation for determining the mean absolute deviation is:
MAD = 4.6