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Calculating the Average Deviation On average, how much does each score in this distribution vary from the mean score? The steps for calculating the average
Calculating the Average Deviation
On average, how much does each score in this distribution vary from the mean score?
The steps for calculating the average deviation (AD) of a frequency distribution is as follows:
- Determine the deviation scores for each score in the frequency distribution (in other words, how much does each individual score vary from the mean score?).
- Find the sum of the deviation scores.
- Divide the sum of the deviation scores by the total number of scores to obtain the average deviation.
Complete the table below (10 points). The first calculation is completed for you, inred, as an example.
Name | Test Score (x) | Frequency (f) | f(x) | (x-Mean) |
Ronald | 96 | 1 | 96 | |
Paula | 94 | 1 | 94 | |
Henry | 92 | 1 | 92 | |
Michael | 87 | 1 | 87 | |
Valerie | 85 | 1 | 85 | |
John | 84 | 1 | 84 | |
Mary | 83 | 1 | 83 | |
Barbara | 82 | 1 | 82 | |
Bianca | 79 | 1 | 79 | |
Judy | 78 | 1 | 78 | |
Jorge | 76 | 1 | 76 | |
Vinnie | 73 | 1 | 73 | |
Diane | 72 | 1 | 72 | |
Lee-Wu | 69 | 1 | 69 | |
Uriah | 69 | 1 | 69 | |
Joe | 67 | 1 | 67 | |
Esperanza | 67 | 1 | 67 | |
Robert | 66 | 1 | 66 | |
Miriam | 63 | 1 | 63 | |
Martha | 62 | 1 | 62 | |
Leroy | 61 | 1 | 61 | |
Bill | 61 | 1 | 61 | |
Donna | 51 | 1 | 51 | |
Homer | 44 | 1 | 44 | |
Mouse | 42 | 1 | 42 |
- The sum of the absolute value of deviation scores =
- The total number of scores in the frequency distribution =
- Therefore, average deviation (AD) =
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