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

Lesson 2.92.9 Small Group · Group 1

Group 1 · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice

Name Date Period

Learning target With my small group, I can find the mean absolute deviation (MAD) to describe how spread out data is — one step at a time, with support.

Remember2.9 Small Group · Group 1

To find the MAD, find the mean, find each distance from the mean, then find the mean of those distances. The mean absolute deviation (MAD) is the average distance of the values from the mean.

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

1Complete each step, then write the final answer.

Find the MAD of this data set: 3, 5, 9, 11.
Show your work
Hint The mean is 7. The distances from 7 are 4, 2, 2 and 4. Find their mean.
Final answer:
2Complete each step, then write the final answer.

Find the MAD of this data set: 3, 7, 8, 10.
Show your work
Hint Find the mean first. Then find each distance from the mean.
Final answer:
3Complete 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
Hint The heights add to 55. Find the mean, then each distance from it.
Final answer:
4Complete each step, then write the final answer.

Find the MAD of this data set: 1, 2, 3, 4, 20.
Show your work
Hint The values add to 30. One value is far from the mean, so its distance is large.
Final answer:

Explain your thinkingSet B has the greater MAD. What does a greater MAD tell you about the data? Use the number line to explain.

Sentence starter A greater MAD means the values are ___ from the mean. · Set ___ is more spread out because ___.

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