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

In order to determine the mean absolute deviation, Leon would use the formula:

Mean Absolute Deviation = Σ |x - μ| / n

where:
- Σ denotes the sum of the absolute values of the differences between each data point (x) and the mean (μ)
- n is the total number of data points

Given that the mean is 15.2, the data points are 18, 24, 15, 9, 10, and n is 5, the equation that Leon would use is:

Σ |18 - 15.2| + |24 - 15.2| + |15 - 15.2| + |9 - 15.2| + |10 - 15.2| / 5

Solving this equation, we get:

|2.8| + |8.8| + |0.2| + |6.2| + |5.2| / 5
2.8 + 8.8 + 0.2 + 6.2 + 5.2 / 5
23.2 / 5
4.64

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

Mean Absolute Deviation = 4.6