Worksheet

The normal curve and the empirical rule

Grade 11 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

  1. Pia's class times a walk around the park. The times are roughly normal, with mean 50 minutes and SD 4 minutes. What percent of the times are between 50 and 54 minutes?

  2. Tala weighs the class's pumpkins. The weights are roughly normal, with mean 70 ounces and SD 5 ounces. What percent of the weights are between 60 and 70 ounces?

  3. Zee times how long the class takes to finish a puzzle. The times are roughly normal, with mean 12 minutes and SD 2 minutes. What percent of the times are below 8 minutes?

  4. Ari records how far paper airplanes fly in the gym. The distances are roughly normal, with mean 30 feet and SD 3 feet. What percent of the distances are above 39 feet?

  5. band percents left to right: 0.15, 2.35, 13.5, 34, 34, 13.5, 2.35, 0.15. Esme measures the class's long jumps. The jumps are roughly normal, with mean 75 inches and SD 6 inches. What percent of the jumps are between 69 and 75 inches?

  6. Jun times how long a phone battery lasts in a class test. The times are roughly normal, with mean 40 hours and SD 5 hours. What percent of the times are below 35 hours?

  7. Kira's class scores on a puzzle test are roughly normal, with mean 100 and SD 15. What value marks the top of the middle 95% of the values?

  8. The heights of the bean plants in Luz's class are roughly normal, with mean 64 cm and SD 3 cm. What value marks the bottom of the middle 68% of the values?

  9. The times for Milo's class to run a lap are roughly normal, with mean 20 seconds and SD 2.5 seconds. What value marks the top of the middle 99.7% of the values?

  10. In Noah's class test, the hours a flashlight runs are roughly normal, with mean 8 and SD 0.5. What value marks the bottom of the middle 95% of the values?

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The normal curve and the empirical rule

Answer Key - Grade 11 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.

  1. Pia's class times a walk around the park. The times are roughly normal, with mean 50 minutes and SD 4 minutes. What percent of the times are between 50 and 54 minutes?

    34

  2. Tala weighs the class's pumpkins. The weights are roughly normal, with mean 70 ounces and SD 5 ounces. What percent of the weights are between 60 and 70 ounces?

    47.5

  3. Zee times how long the class takes to finish a puzzle. The times are roughly normal, with mean 12 minutes and SD 2 minutes. What percent of the times are below 8 minutes?

    2.5

  4. Ari records how far paper airplanes fly in the gym. The distances are roughly normal, with mean 30 feet and SD 3 feet. What percent of the distances are above 39 feet?

    0.15

  5. band percents left to right: 0.15, 2.35, 13.5, 34, 34, 13.5, 2.35, 0.15. Esme measures the class's long jumps. The jumps are roughly normal, with mean 75 inches and SD 6 inches. What percent of the jumps are between 69 and 75 inches?

    34

  6. Jun times how long a phone battery lasts in a class test. The times are roughly normal, with mean 40 hours and SD 5 hours. What percent of the times are below 35 hours?

    16

  7. Kira's class scores on a puzzle test are roughly normal, with mean 100 and SD 15. What value marks the top of the middle 95% of the values?

    130

  8. The heights of the bean plants in Luz's class are roughly normal, with mean 64 cm and SD 3 cm. What value marks the bottom of the middle 68% of the values?

    61

  9. The times for Milo's class to run a lap are roughly normal, with mean 20 seconds and SD 2.5 seconds. What value marks the top of the middle 99.7% of the values?

    27.5

  10. In Noah's class test, the hours a flashlight runs are roughly normal, with mean 8 and SD 0.5. What value marks the bottom of the middle 95% of the values?

    7