Question

29. Dora's bowling scores this week were 152, 170, and 161. Use the scores to answer the

question below.

A.What is the mean absolute deviation for the scores?

Answer 1

To find the mean absolute deviation (MAD) for a set of scores, you'll need to follow these steps:

1. Calculate the mean (average) of the scores by adding up all the scores and dividing the sum by the number of scores.

2. Find the absolute difference between each score and the mean. To do this, subtract the mean from each score and take the absolute value (ignore the negative sign).

3. Calculate the average of these absolute differences by adding them up and dividing the sum by the number of scores.

Let's say we have the following scores: 80, 85, 90, 95, and 100.

1. Calculate the mean:

(80 + 85 + 90 + 95 + 100) / 5 = 450 / 5 = 90

2. Find the absolute difference between each score and the mean:

|80 - 90| = 10

|85 - 90| = 5

|90 - 90| = 0

|95 - 90| = 5

|100 - 90| = 10

3. Calculate the average of these absolute differences:

(10 + 5 + 0 + 5 + 10) / 5 = 30 / 5 = 6

Therefore, the mean absolute deviation for the scores is 6.