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Unit 09 · Statistics and Data DisplaysLesson

Day 134Writing a Complete Data Summary

LearnClassworkAnswer keyPDF packet ↗
Standards 6.SP.B.5a6.SP.B.5b6.SP.B.5c6.SP.B.5d
LEARNING TARGET

I can write a statistical summary tied to its context.

01 · LEARN

Build the idea

A useful summary names the group and attribute, units, observation count, center, variability, and shape. Explain why the chosen center and spread fit the data and mention any striking value.

WORKED EXAMPLE 1

Reading times in minutes are 2, 3, 3, 4, 4, 5. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

6 observations of reading time in minutes. Mean 7/2 min, MAD 5/6 min; roughly symmetric, so mean/MAD are reasonable.

Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

WORKED EXAMPLE 2

Reading times in minutes are 8, 9, 9, 10, 11, 20. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

6 observations of reading time in minutes. Median 19/2 min, IQR 2 min; right-skewed with a high value 20 min, so median/IQR resist that value.

Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

02 · PRACTICE

Your turn

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

  1. Reading times in minutes are 4, 5, 5, 6, 6, 7. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

  2. Reading times in minutes are 8, 9, 9, 10, 10, 11. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

  3. Reading times in minutes are 2, 3, 3, 4, 4, 5. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

  4. Reading times in minutes are 4, 10, 10, 16, 16, 22. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

  5. Reading times in minutes are 6, 10, 10, 14, 14, 18. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

  6. Reading times in minutes are 8, 14, 14, 20, 20, 26. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

  7. Reading times in minutes are 6, 7, 7, 8, 9, 18. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

  8. Reading times in minutes are 5, 6, 6, 7, 8, 17. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

  9. Reading times in minutes are 7, 8, 8, 9, 10, 19. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

  10. Reading times in minutes are 4, 5, 5, 6, 7, 16. Write a summary with count, attribute, units, center, variability, shape, and a justified choice of measures.

03 · CHECK

Answers and reasoning

Reveal the teacher answer key
  1. 6 observations of reading time in minutes. Mean 11/2 min, MAD 5/6 min; roughly symmetric, so mean/MAD are reasonable.

    Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

  2. 6 observations of reading time in minutes. Mean 19/2 min, MAD 5/6 min; roughly symmetric, so mean/MAD are reasonable.

    Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

  3. 6 observations of reading time in minutes. Mean 7/2 min, MAD 5/6 min; roughly symmetric, so mean/MAD are reasonable.

    Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

  4. 6 observations of reading time in minutes. Mean 13 min, MAD 5 min; roughly symmetric, so mean/MAD are reasonable.

    Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

  5. 6 observations of reading time in minutes. Mean 12 min, MAD 10/3 min; roughly symmetric, so mean/MAD are reasonable.

    Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

  6. 6 observations of reading time in minutes. Mean 17 min, MAD 5 min; roughly symmetric, so mean/MAD are reasonable.

    Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

  7. 6 observations of reading time in minutes. Median 15/2 min, IQR 2 min; right-skewed with a high value 18 min, so median/IQR resist that value.

    Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

  8. 6 observations of reading time in minutes. Median 13/2 min, IQR 2 min; right-skewed with a high value 17 min, so median/IQR resist that value.

    Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

  9. 6 observations of reading time in minutes. Median 17/2 min, IQR 2 min; right-skewed with a high value 19 min, so median/IQR resist that value.

    Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

  10. 6 observations of reading time in minutes. Median 11/2 min, IQR 2 min; right-skewed with a high value 16 min, so median/IQR resist that value.

    Calculate the center and spread before interpreting them in context. Other accurate, justified summaries are acceptable.

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