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

what is the answer

Answer 2

The final equation to determine the mean absolute deviation would be:

∑|x - 15.2| / 5 = ?

where:
∑|x - 15.2| is the sum of the absolute differences between each data point and the mean 15.2
5 is the total number of data points

For Leon's data:
|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

Calculate the sum of the absolute differences:
2.8 + 8.8 + 0.2 + 6.2 + 5.2 = 23.2

Plug the sum into the equation:
23.2 / 5 = 4.6

Therefore, the final equation for Leon's data to determine the mean absolute deviation would be:
∑|x - 15.2| / 5 = 4.6

Answer 3

Apologies for not providing the final numerical answer earlier. The mean absolute deviation for Leon's data is 4.6.