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Unit 09 · Statistics and Data DisplaysLesson

Day 122Center Spread and Shape

LearnClassworkAnswer keyPDF packet ↗
Standards 6.SP.A.26.SP.A.3
LEARNING TARGET

I can describe a distribution by center, spread, and shape.

01 · LEARN

Build the idea

A distribution shows which values occur and how often. Describe a typical value, how spread out the values are, and whether the shape is roughly symmetric, skewed, clustered, or has unusual values.

WORKED EXAMPLE 1

Reading times in minutes are 7, 8, 8, 9, 9, 10. Describe a typical value, range, shape, and any striking value.

Center near 17/2 min; range 3 min; roughly symmetric; no isolated extreme

The values balance around the middle. Range = 10 - 7.

WORKED EXAMPLE 2

Reading times in minutes are 2, 3, 3, 4, 5, 14. Describe a typical value, range, shape, and any striking value.

Center near 7/2 min; range 12 min; right-skewed with high value 14 min

The values cluster low with a long high tail. Range = 14 - 2.

02 · PRACTICE

Your turn

Work in order. Start with the foundations, then build toward explanation and application.

  1. Reading times in minutes are 5, 6, 6, 7, 7, 8. Describe a typical value, range, shape, and any striking value.

  2. Reading times in minutes are 4, 5, 5, 6, 6, 7. Describe a typical value, range, shape, and any striking value.

  3. Reading times in minutes are 8, 9, 9, 10, 10, 11. Describe a typical value, range, shape, and any striking value.

  4. Reading times in minutes are 4, 9, 9, 14, 14, 19. Describe a typical value, range, shape, and any striking value.

  5. Reading times in minutes are 2, 6, 6, 10, 10, 14. Describe a typical value, range, shape, and any striking value.

  6. Reading times in minutes are 4, 6, 6, 8, 8, 10. Describe a typical value, range, shape, and any striking value.

  7. Reading times in minutes are 7, 8, 8, 9, 10, 19. Describe a typical value, range, shape, and any striking value.

  8. Reading times in minutes are 8, 9, 9, 10, 11, 20. Describe a typical value, range, shape, and any striking value.

  9. Reading times in minutes are 4, 5, 5, 6, 7, 16. Describe a typical value, range, shape, and any striking value.

  10. Reading times in minutes are 2, 3, 3, 4, 5, 14. Describe a typical value, range, shape, and any striking value.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. Center near 13/2 min; range 3 min; roughly symmetric; no isolated extreme

    The values balance around the middle. Range = 8 - 5.

  2. Center near 11/2 min; range 3 min; roughly symmetric; no isolated extreme

    The values balance around the middle. Range = 7 - 4.

  3. Center near 19/2 min; range 3 min; roughly symmetric; no isolated extreme

    The values balance around the middle. Range = 11 - 8.

  4. Center near 23/2 min; range 15 min; roughly symmetric; no isolated extreme

    The values balance around the middle. Range = 19 - 4.

  5. Center near 8 min; range 12 min; roughly symmetric; no isolated extreme

    The values balance around the middle. Range = 14 - 2.

  6. Center near 7 min; range 6 min; roughly symmetric; no isolated extreme

    The values balance around the middle. Range = 10 - 4.

  7. Center near 17/2 min; range 12 min; right-skewed with high value 19 min

    The values cluster low with a long high tail. Range = 19 - 7.

  8. Center near 19/2 min; range 12 min; right-skewed with high value 20 min

    The values cluster low with a long high tail. Range = 20 - 8.

  9. Center near 11/2 min; range 12 min; right-skewed with high value 16 min

    The values cluster low with a long high tail. Range = 16 - 4.

  10. Center near 7/2 min; range 12 min; right-skewed with high value 14 min

    The values cluster low with a long high tail. Range = 14 - 2.

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