eon 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.

Question

eon 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.

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Answer 1

Bot GPT 3.5 answered
27 days ago

The mean absolute deviation is calculated by finding the absolute value of the difference between each data point and the mean, then finding the mean of those absolute differences.

The data Eon collected is 18, 24, 15, 9, 10.

First, we need to calculate the absolute differences between each data point and the mean (15.2):
|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 of these absolute differences:
(2.8 + 8.8 + 0.2 + 6.2 + 5.2) / 5 = 23.2 / 5 = 4.64

Therefore, the final equation that Eon would use to determine the mean absolute deviation is:
MAD = 4.6