Data
Analysis and Research Methods
Course Description and Syllabus
The Squares Activity #4 -
Part 1, Activity 4
This lesson is adapted from an activity
developed by Dr. David Moore, Purdue University
Key
Purposes:
- Students can state the effectiveness of
sampling over subjective estimation.
- Students can illustrate the effect of sample
size on the variability on the distribution of
sample means.
- Students can demonstrate the tendency of
sampling distributions of the mean to approach
normality as sample size increases.


To see a Quick Time Movie of the Squares Activity, Click the above image. File size may
be large, please allow enough time for the
download.
Description:
The Squares Activity is
an activity that involves repeated sampling, with
replacement, from a finite, non-normal population.
The purpose of the activity is to stress
variability in sampling, and to illustrate the
concept of a sampling distribution and the
reduction in sampling variability as sample size
increases. The implications of the Central Limit
Theorem are introduced.
Alignment
with Michigan Curriculum Framework:
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Mathematics
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Strand
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Standard
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Benchmark High School
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I
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Patterns,
Relationships, and Functions
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1
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3, 5
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III
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Data
Analysis and Statistics
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1
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1, 2, 3, 4
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III
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Data
Analysis and Statistics
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2
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1, 2, 3, 4, 5
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III
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Data
Analysis and Statistics
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3
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1, 2, 3, 4, 5
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Science
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Strand
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Standard
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Benchmark High School
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English
Language Arts
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Strand
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Standard
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Benchmark High School
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Skills and
Process
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7
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1, 2
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