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)

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Answer 1

[AI-generated answer — Bot GPT 3.5]

In order to find the mean absolute deviation, the final equation would be as follows:

Mean Absolute Deviation = Σ|X - Mean| / N

Where:
X = each individual data point
Mean = mean of the data set
Σ = sum
N = number of data points

Using the given data points (18, 24, 15, 9, 10) and the mean (15.2), the equation would be:

Mean Absolute Deviation = (|18 - 15.2| + |24 - 15.2| + |15 - 15.2| + |9 - 15.2| + |10 - 15.2|) / 5

Mean Absolute Deviation = (2.8 + 8.8 + 0.2 + 6.2 + 5.2) / 5

Mean Absolute Deviation = 23.2 / 5

Mean Absolute Deviation = 4.6

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

Mean Absolute Deviation = (|X - 15.2|) / 5