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What percentage of all scores are within the 1 standard deviation above or below the mean
68%
Example of 1 standard deviation
Imagine the mean test score is 80, and the standard deviation is 5
1 below: 80 - (1×5) = 75
1 above: 80 + (1x5) = 85
So about 68% of students scored between 75 and 85
what percentage of all scores are within the 2 standard deviation above or below the mean
95%
Example of 2 standard deviation
Imagine the mean test score is 80, and the standard deviation is 5
2 below: 80 - (2×5) = 70
2 above: 80 + (2×5) = 90
So about 95% of scores are between 70 and 90
0 to 55
Profoundly Intellectually disabled
0.1%
55 to 70
Intellectually disabled
2%
70 to 85
Below average
14%
85 to 115
Average
68%
115 to 130
Above average
14%
130 to 145
Gifted
2%
145 to 200
Genius
0.1