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

Lesson 2.9Comparing Sets with MAD

Apply Day · Set BSecond form · new problems, same idea

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Learning target I can find the mean absolute deviation (MAD) to describe how spread out data is.

Remember2.9 · Part II

Mean Absolute Deviation (MAD)

  1. Calculate the mean of the data set
  2. Find the distance (absolute difference |value − mean|) for each data point
  3. Average the distances: Add all distances and divide by the count

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.

    Find the MAD of this data set: 2, 5, 8.

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

    A player scored 12, 18, 15, 20 and 10 points in 5 games. Find the MAD of the scores.

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.

    Five snacks cost $2, $5, $3, $6 and $4. Find the MAD of the prices.

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.

    Five plants are 8, 11, 9, 14 and 13 cm tall. Find the MAD of the heights.

    Show your work
    Final answer:
  5. 5Circle 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
  6. 6Complete 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:
  7. 7Circle the letter of the best answer. Show how you know.

    The mean of a data set is 15. One value is 11. What is the absolute deviation of that value from the mean?

    1. A4
    2. B−4
    3. C11
    4. D26
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    A data set has absolute deviations of 3, 1, 5, 2, 4. What is the MAD?

    1. A1
    2. B3
    3. C5
    4. D15
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    The mean of a data set is 20. A value is 26. What is the absolute deviation?

    1. A6
    2. B−6
    3. C26
    4. D46
    Show your work
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