Curriculum / Math / 6th Grade / Unit 8: Statistics / Lesson 7
Math
Unit 8
6th Grade
Lesson 7 of 14
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Lesson Notes
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Define and determine the mode of a data set.
The core standards covered in this lesson
6.SP.A.2 — Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.
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
Find the mode of each data set shown below.
Data set A: Width of computer screens in inches 13 13 14.5 13.5 14 13 14.5
Data set B: Female foot length in cm 24 23.5 23.5 21 21 25.2 23 23.3
Data set C: Number of siblings
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Each of the 20 students in Mr. Anderson’s class timed how long it took them to solve a puzzle. Their times (in minutes) are listed below:
a. Display the data using a dot plot.
b. Find the mean, median, and mode of the data. Did you expect them to be the same values? Why or why not?
Puzzle Times, accessed on April 3, 2018, 2:05 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.
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
The histogram below represents the number of minutes some students studied for a science quiz.
a. How many students are represented in the histogram?
b. Determine the median range of minutes that students spent studying for the quiz.
c. Determine the mode range of minutes that students spent studying for the quiz.
d. Explain why you cannot determine the mean number of minutes students studied for the quiz.
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
Determine which measure of center best represents a data set. Determine how measures of center change when data is added or removed.
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.
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
Analyze box plots and other representations, and summarize numerical data in context.
Analyze circle graphs in context.
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