Question

Lucia has been recording her grades on her Spanish quizzes. The following is a list of her grades

74, 81, 86, 92, 74, 85, 90, 89, 78, 80

Determine the mean absolute deviation of Lucia’s Spanish quiz grades.

(1 point)

Answer 1

To find the mean absolute deviation, first find the mean of Lucia's quiz grades:

(74 + 81 + 86 + 92 + 74 + 85 + 90 + 89 + 78 + 80) / 10 = 835 / 10 = 83.5

Next, find the absolute deviations from the mean for each grade:

|74 - 83.5| = 9.5
|81 - 83.5| = 2.5
|86 - 83.5| = 2.5
|92 - 83.5| = 8.5
|74 - 83.5| = 9.5
|85 - 83.5| = 1.5
|90 - 83.5| = 6.5
|89 - 83.5| = 5.5
|78 - 83.5| = 5.5
|80 - 83.5| = 3.5

Now, find the average of these absolute deviations:

(9.5 + 2.5 + 2.5 + 8.5 + 9.5 + 1.5 + 6.5 + 5.5 + 5.5 + 3.5) / 10 = 54 / 10 = 5.4

Therefore, the mean absolute deviation of Lucia's Spanish quiz grades is 5.4.