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. (2 points)

Answer 1

Please make it into an equation.

_ / _ = _

Answer 2

First, we need to find the absolute deviations from the mean for each data point:

|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

Next, we find the mean absolute deviation by taking the average of these absolute deviations:

(2.8 + 8.8 + 0.2 + 6.2 + 5.2) / 5 = 23.2 / 5 = 4.6

Therefore, the final equation that Leon would use to determine the mean absolute deviation is:

Mean Absolute Deviation = 4.6

Answer 3

ABS(x1 - 15.2) + ABS(x2 - 15.2) + ABS(x3 - 15.2) + ABS(x4 - 15.2) + ABS(x5 - 15.2) / 5 = 4.6