Curriculum / Math / 6th Grade / Unit 8: Statistics / Lesson 10
Math
Unit 8
6th Grade
Lesson 10 of 14
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Lesson Notes
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Understand and determine mean absolute deviation (MAD) as a measure of variability of a data set.
The core standards covered in this lesson
6.SP.B.5.C — Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
In groups of two or three, play the Game of 22.
Your teacher will give your group a deck of cards. Shuffle the cards, and put the deck face down on the playing surface.
Sample Table:
Average distance from 22: _________
If a player had a high average distance from 22 at the end, what do you notice about their sums in each round? How is this different from a player who had a low average distance from 22 at the end?
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Grade 6 Unit 8 Lesson 11 is made available by Open Up Resources under the CC BY 4.0 license. Copyright © 2017 Open Up Resources. Download for free at openupresources.org. Accessed March 29, 2018, 1:18 p.m..
Shot put is an event in track and field that involves throwing a heavy ball, or shot, as far as possible.
In a high school competition, Michelle and Christina compete in the shot put event. Their distances, in feet, for their first five throws are shown below.
a. Complete a table, like the one below, for Michelle and for Christina to determine the MAD for each competitor.
b. What does the mean tell you about each competitor’s data set?
c. What does the MAD tell you about each competitor’s data set?
A set of suggested resources or problem types that teachers can turn into a problem set
15-20 minutes
Give your students more opportunities to practice the skills in this lesson with a downloadable problem set aligned to the daily objective.
A task that represents the peak thinking of the lesson - mastery will indicate whether or not objective was achieved
5-10 minutes
Over a two-week period, Jenna had the following number of math homework problems given each day:
20, 0, 7, 10, 1, 11, 0, 25, 15, 1
a. What is the mean number of homework problems Jenna had?
b. What is the MAD of the number of homework problems?
c. What do the mean and MAD tell you about the number of homework problems Jenna had over these two weeks?
Math Homework Problems, accessed on March 29, 2018, 1:28 p.m., is licensed by Illustrative Mathematics under either the CC BY 4.0 or CC BY-NC-SA 4.0. For further information, contact Illustrative Mathematics.
The following resources include problems and activities aligned to the objective of the lesson that can be used for additional practice or to create your own problem set.
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Compare measures of center and measures of spread to describe data sets.
Topic A: Understanding Statistics & Distributions
Define and identify statistical questions.
Standards
6.SP.A.16.SP.B.5.A
Describe data that is represented in a dot plot. Represent data using dot plots and frequency tables.
6.SP.B.46.SP.B.5.A
Represent data using histograms.
6.SP.B.4
Describe and analyze the overall shape of dot plots and histograms, including symmetry, skewness, outliers, and clusters.
6.SP.A.2
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Topic B: Measurements of Center & Variability
Define and determine the mean of a data set.
6.SP.A.26.SP.B.5.C
Define and determine the median of a data set.
Define and determine the mode of a data set.
Determine which measure of center best represents a data set. Determine how measures of center change when data is added or removed.
6.SP.A.26.SP.B.5.D
Use the range and interquartile range to understand the spread and variability of a data set.
6.SP.B.5.C
6.SP.A.3
Topic C: Box Plots & Circle Graphs
Represent data using box plots.
6.SP.B.46.SP.B.5
Analyze box plots and other representations, and summarize numerical data in context.
Analyze circle graphs in context.
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