74, 81, 86, 92, 74, 85, 90, 89, 78, 80
Determine the mean absolute deviation of lucia spanish quiz grades.
To determine the mean absolute deviation of Lucia's Spanish quiz grades, we first need to calculate the mean (average) of the grades:
Mean = (74 + 81 + 86 + 92 + 74 + 85 + 90 + 89 + 78 + 80) / 10
Mean = 839 / 10
Mean = 83.9
Next, we calculate the absolute deviation of each grade from the mean:
|74 - 83.9| = 9.9
|81 - 83.9| = 2.9
|86 - 83.9| = 2.1
|92 - 83.9| = 8.1
|74 - 83.9| = 9.9
|85 - 83.9| = 1.1
|90 - 83.9| = 6.1
|89 - 83.9| = 5.1
|78 - 83.9| = 5.9
|80 - 83.9| = 3.9
Now, we find the average of these absolute deviations to get the mean absolute deviation:
Mean Absolute Deviation = (9.9 + 2.9 + 2.1 + 8.1 + 9.9 + 1.1 + 6.1 + 5.1 + 5.9 + 3.9) / 10
Mean Absolute Deviation = 54.9 / 10
Mean Absolute Deviation = 5.49
Therefore, the mean absolute deviation of Lucia's Spanish quiz grades is 5.49.