Answer:
So, the mean is 24.
So, the mean absolute deviation is 7.2 for this data set.
Explanation:
To calculate the mean (average) for the given data set, add up all the values and then divide by the number of data points:
Mean = (25 + 36 + 18 + 29 + 12) / 5
Mean = 120 / 5
Mean = 24
So, the mean is 24.
Next, let's calculate the mean absolute deviation (MAD):
1. Find the absolute deviation for each data point by subtracting the mean (24) from each data point and taking the total value:
Absolute Deviations: |25 - 24| = 1, |36 - 24| = 12, |18 - 24| = 6, |29 - 24| = 5, |12 - 24| = 12
2. Calculate the mean of these absolute deviations:
MAD = (1 + 12 + 6 + 5 + 12) / 5
MAD = 36 / 5
MAD = 7.2