Curriculum / Math / 6th Grade / Unit 8: Statistics / Lesson 13
Math
Unit 8
6th Grade
Lesson 13 of 14
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Lesson Notes
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Analyze box plots and other representations, and summarize numerical data in context.
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
This Boxplot Grapher by IMathAS is a good tool to create box plots.
Unlock features to optimize your prep time, plan engaging lessons, and monitor student progress.
Problems designed to teach key points of the lesson and guiding questions to help draw out student understanding
25-30 minutes
Lorna is interested in knowing the typical length of a movie. She randomly selects some movies and records their length, in minutes. She determines the following five-number summary for the data set:
Minimum: 75
Lower quartile: 90
Median: 110
Upper quartile: 120
Maximum: 135
a. Draw a box plot to represent the data.
b. What questions could you ask about the data shown in the box plot?
c. Sketch a dot plot that could represent the data set.
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Ninety-four people were asked to grab as many Tootsie Pops as they could hold. Here is a box plot for this data. Use it to answer the questions that follow.
a. What might explain the variability in the number of Tootsie Pops grabbed by the 94 people?
b. Determine the five-number summary of the data set.
c. What is the range of number of Tootsie Pops that the middle 50% of people grabbed?
d. Answer True or False for the following statements:
Grade 6 Mathematics > Module 6 > Topic C > Lesson 15 of the New York State Common Core Mathematics Curriculum from EngageNY and Great Minds. © 2015 Great Minds. Licensed by EngageNY of the New York State Education Department under the CC BY-NC-SA 3.0 US license. Accessed Dec. 2, 2016, 5:15 p.m..
At the end of the year, a middle school held a trivia competition. Each grade had the same number of teams compete, and each team answered the same 20 questions. The box plots below show the results of how the teams scored in each grade.
a. Name one observation of how the data of all three classes are the same.
b. Name one observation of how 6th Grade and 7th Grade are different.
c. Name one observation of how 6th Grade and 8th Grade are different.
d. Which grade do you think performed the best in the trivia competition? Explain your reasoning.
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
A veterinarian’s office collects data on the weights of cats that are brought into their office. The box plot below shows these data.
Which of the following statements are true? If the statement is false, modify it to make the statement true.
a. At least one cat weighs 11 pounds.
b. At least one cat weighs 14 pounds.
c. About 75% of the cats weigh 12 or more pounds.
d. About half of the cats weigh between 14 and 19 pounds.
e. There are more cats that weigh between 19 and 22 pounds than there are cats that weigh between 11 and 12 pounds.
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.
Next
Analyze circle graphs in context.
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.
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
Represent data using box plots.
6.SP.B.46.SP.B.5
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