Back to Fit data to a normal distribution — Problem 5 · 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
Work through problems with immediate feedback
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 , SD . For a score of , the z-score is . Using a calculator, spreadsheet, or table, the area BELOW is about . About what percentage of scores are ABOVE ? Round to the nearest tenth of a percent.