Carter got the following scores: 90,82,88,78,93
What is the mean absolute deviation?
A- 4.96
B- 12.00
C- 86.20
D- 88.00
my answer is B.
To find the mean absolute deviation, follow these steps:
1. Find the mean of the scores.
Adding up the scores: 90 + 82 + 88 + 78 + 93 = 431.
Dividing the sum by the number of scores (5): 431 / 5 = 86.2.
The mean score is 86.2.
2. Find the absolute deviation for each score.
The absolute deviation is the absolute value of the difference between each score and the mean.
Absolute deviation for 90: |90 - 86.2| = 3.8.
Absolute deviation for 82: |82 - 86.2| = 4.2.
Absolute deviation for 88: |88 - 86.2| = 1.8.
Absolute deviation for 78: |78 - 86.2| = 8.2.
Absolute deviation for 93: |93 - 86.2| = 6.8.
3. Calculate the mean of the absolute deviations.
Adding up the absolute deviations: 3.8 + 4.2 + 1.8 + 8.2 + 6.8 = 24.8.
Dividing the sum by the number of scores (5): 24.8 / 5 = 4.96.
The correct answer is A- 4.96.
Therefore, B- 12.00 is not the correct answer.