Back to Fit data to a normal distribution — Problem 3 · Task Set 4

Exercises: Fitting Data to a Normal Distribution

Work through each section in order. For empirical-rule problems, use the 68-95-99.7 percentages and the curve's symmetry. For z-score problems, first standardize with $z = \frac{x - \text{mean}}{\text{SD}}$, then look up the area with a calculator, spreadsheet, or table. Round percentages as directed. Remember: the empirical rule and z-scores apply ONLY to roughly normal data.

Grade 10·21 problems·~35 min·Common Core Math - HS Statistics and Probability·group·hss-id-a-4
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A

Fluency Practice

Use the empirical rule and z-scores. Test scores below are normal with mean 500, SD 100.

1.

Test scores are normal with mean 500500, SD 100100. About what percentage of scores fall between 300300 and 700700 (within two standard deviations)? Enter a number (percent).