Curriculum / Math / 6th Grade / Unit 8: Statistics / Lesson 12
Math
Unit 8
6th Grade
Lesson 12 of 14
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Represent data using box plots.
The core standards covered in this lesson
6.SP.B.4 — Display numerical data in plots on a number line, including dot plots, histograms, and box plots.
6.SP.B.5 — Summarize numerical data sets in relation to their context, such as by:
The essential concepts students need to demonstrate or understand to achieve the lesson objective
Suggestions for teachers to help them teach this lesson
A common misconception with box plots is that the lengths of the segments of the box plot represent the proportional number of data points in the data set (i.e., if one whisker is longer than another, then the longer whisker contains more data points than the shorter one). Using the number strip activity from Lesson 9 can be a concrete and tangible way to address this misconception. By folding the number strip into equal fourths and comparing it to unequal lengths of the box plot, you can show how the data is equally divided into quartiles (and not the number line divided into quartiles).
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Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
A dot plot is shown below. Use it to answer the questions that follow.
a. What statistical question could this data be answering?
b. How many people were surveyed?
c. Find the five-number summary of the data set, and draw a vertical line through each of those values on the dot plot.
d. Draw a box plot for the data on the number line below. How is it similar to the dot plot? How is it different?
Twenty high school seniors were asked how many hours they work in a typical week during the summer. The data is shown below.
17 8 22 22 25 26 6 10 22 22 25 28 20 5 20 13 20 25 22 23
a. Create a box plot to represent the data.
b. What percent of seniors work more than 24 hours a week?
c. What percent of seniors work less than 15 hours a week?
d. Between what two numbers of hours does the middle half of the seniors work in a week?
A set of suggested resources or problem types that teachers can turn into a problem set
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
Here are two box plots that summarize two data sets. Which of the following statements do you agree with? Select all that apply.
Grade 6 Unit 8 Lesson 16 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 April 3, 2018, 10:57 a.m..
The dot plots below show the same data sets as those represented by the box plots in Problem 1. Decide which box plot goes with each dot plot. Explain your reasoning.
An example response to the Target Task at the level of detail expected of the students.
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.
Lesson 11
Lesson 13
Topic A: Understanding Statistics & Distributions
Define and identify statistical questions.
6.SP.A.1 6.SP.B.5.A
Describe data that is represented in a dot plot. Represent data using dot plots and frequency tables.
6.SP.B.4 6.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.2 6.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.2 6.SP.B.5.D
Use the range and interquartile range to understand the spread and variability of a data set.
Understand and determine mean absolute deviation (MAD) as a measure of variability of a data set.
6.SP.B.5.C
Compare measures of center and measures of spread to describe data sets.
6.SP.A.3
Topic C: Box Plots & Circle Graphs
6.SP.B.4 6.SP.B.5
Analyze box plots and other representations, and summarize numerical data in context.
Analyze circle graphs in context.
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