Grade 6 Mathematics · Unit 2: Understanding the World Around Us Through StatisticsStandard 6.DS.6c

Lesson 2.92.9 Small Group · Group 2

Group 2 · Set BSecond challenge form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can find the mean absolute deviation (MAD) to describe how spread out data is, explain how I can tell, and judge a case I have not seen before.

Remember2.9 Small Group · Group 2

The MAD measures spread: a small MAD means the values stay close to the mean, and a large MAD means they are spread out. Two data sets can have the same mean but different spread. The MAD shows which set is more consistent.

Words: Mean Absolute Deviation (Desviación media absoluta)Deviation (Desviación)Absolute Value (Valor absoluto)Spread (Dispersión)Data distribution (Distribución de datos)

  1. 1Complete each step, then write the final answer.

    Data set: 3, 7, 7, 11. The mean is 7. Maya adds the deviations −4, 0, 0 and 4. She says the MAD is 0. What is the correct MAD?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Find the MAD of this data set: 5, 7, 8, 10, 15.

    Show your work
    Final answer:
  3. 3Circle the letter of the best answer. Show how you know.

    Two bakers each weigh 4 loaves. Baker A: 498, 502, 500, 500 grams. Baker B: 490, 510, 495, 505 grams. Both means are 500 grams. Whose loaves are more alike?

    1. ABaker A
    2. BBaker B
    3. CThey are the same
    Show your work
  4. 4Complete each step, then write the final answer.

    The data set is 4, 6, 8. You add one more value, 6. What is the new MAD? Did the spread go up or down?

    Show your work
    Final answer:

Explain your thinkingTwo classes have the same mean test score. One class has a MAD of 3. The other has a MAD of 12. Which class has scores more alike? Defend it.

How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help