1. MAD - Mean Absolute Deviation
To calculate MAD:
Find the mean of the scores: (75 + 72 + 68 + 65 + 67 + 73) / 6 = 70
For each score, calculate the absolute difference from the mean:
Mohan: |75 - 70| = 5
Andrea: |72 - 70| = 2
Sofia: |68 - 70| = 2
Joe: |65 - 70| = 5
Virat: |67 - 70| = 3
Abdul: |73 - 70| = 3
Add up the absolute differences: 5 + 2 + 2 + 5 + 3 + 3 = 20
Divide the sum by the number of scores to get the MAD: 20 / 6 = 4.8
2. SD - Standard Deviation
Find the mean of the scores: 70
For each score, calculate the squared difference from the mean:
Mohan: (75 - 70)^2 = 25
Andrea: (72 - 70)^2 = 4
Sofia: (68 - 70)^2 = 4
Joe: (65 - 70)^2 = 25
Virat: (67 - 70)^2 = 9
Abdul: (73 - 70)^2 = 9
Add up the squared differences: 25 + 4 + 4 + 25 + 9 + 9 = 76
Divide the sum by the number of scores: 76 / 6 = 12.67
Take the square root to get the SD: sqrt(12.67) = 4.11
Misollar bilan farqi.
To calculate MAD:
Find the mean of the scores: (75 + 72 + 68 + 65 + 67 + 73) / 6 = 70
For each score, calculate the absolute difference from the mean:
Mohan: |75 - 70| = 5
Andrea: |72 - 70| = 2
Sofia: |68 - 70| = 2
Joe: |65 - 70| = 5
Virat: |67 - 70| = 3
Abdul: |73 - 70| = 3
Add up the absolute differences: 5 + 2 + 2 + 5 + 3 + 3 = 20
Divide the sum by the number of scores to get the MAD: 20 / 6 = 4.8
2. SD - Standard Deviation
Find the mean of the scores: 70
For each score, calculate the squared difference from the mean:
Mohan: (75 - 70)^2 = 25
Andrea: (72 - 70)^2 = 4
Sofia: (68 - 70)^2 = 4
Joe: (65 - 70)^2 = 25
Virat: (67 - 70)^2 = 9
Abdul: (73 - 70)^2 = 9
Add up the squared differences: 25 + 4 + 4 + 25 + 9 + 9 = 76
Divide the sum by the number of scores: 76 / 6 = 12.67
Take the square root to get the SD: sqrt(12.67) = 4.11
Misollar bilan farqi.