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).
To find the mean absolute deviation, Leon would use the following equation:
Mean Absolute Deviation = (|18 - 15.2| + |24 - 15.2| + |15 - 15.2| + |9 - 15.2| + |10 - 15.2|) / 5.
Simplifying the equation:
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 for Leon to determine the mean absolute deviation is:
Mean Absolute Deviation = 4.6.
To calculate the mean absolute deviation (MAD), you would need to use the following equation:
MAD = (Σ |Xᵢ - μ|) / n
Where:
Σ represents the sum of the values
|Xᵢ - μ| represents the absolute value of the difference between each value (Xᵢ) and the mean (μ)
n represents the total number of values
Given the data provided: 18, 24, 15, 9, 10, and mean (μ) of 15.2, the equation to calculate the mean absolute deviation is:
MAD = (|18 - 15.2| + |24 - 15.2| + |15 - 15.2| + |9 - 15.2| + |10 - 15.2|) / 5