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Hand-drawn bell curve illustrating the empirical rule applied to 500 freshmen's algebra test scores.

Normal distribution graph of algebra test scores with mean 75 and standard deviation 7 showing empirical rule percentages.

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Show Answer Key & Explanations Step-by-step solution for: SOLUTION: Prob/Stat - Unit 5 Worksheet - Empirical Rule and Normal ...

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- The mean is 75.
- One standard deviation below the mean is 68 (75 - 7).
- Two standard deviations below the mean is 61 (75 - 2*7).
- Three standard deviations below the mean is 54 (75 - 3*7).
- One standard deviation above the mean is 82 (75 + 7).
- Two standard deviations above the mean is 89 (75 + 2*7).
- Three standard deviations above the mean is 96 (75 + 3*7).

a) The percentage of scores between 61 and 82 is 81.5%.
b) The percentage of scores between 75 and 82 is 34%.

Parent Tip: Review the logic above to help your child master the concept of normal distribution worksheet high school.

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SOLUTION: Prob/Stat - Unit 5 Worksheet - Empirical Rule and Normal ...