To find the mean absolute deviation, Leon would use the equation:
Σ|Xi - μ| / n = MAD
where Σ refers to the sum of the absolute differences between each data point (Xi) and the mean (μ), divided by the total number of data points (n).
In this case, the values to fill in the blanks would be:
Σ|Xi - 15.2| / 5 = MAD
( |18 - 15.2| + |24 - 15.2| + |15 - 15.2| + |9 - 15.2| + |10 - 15.2| ) / 5 = MAD
(2.8 + 8.8 + 0.2 + 6.2 + 5.2) / 5 = MAD
23.2 / 5 = MAD
4.6 = MAD
Therefore, the final equation that Leon would use to determine the mean absolute deviation is:
Σ|Xi - 15.2| / 5 = 4.6