Calculate the standard deviation and compare two symmetrical distributions based on the mean and standard deviation.
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This site, Bacon Bits, “Understanding Standard Deviation," succinctly explains standard deviation and includes the Excel formulas that are most applicable.
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Here is the formula for standard deviation.
Below are the definitions of the variables:
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How would you describe the standard deviatio{n }using the definitio{n }of each variable?
Compare the following three graphs. Explain why the standard deviations are different. Describe the shapes of the graphs to explain your reasoning.
Mean: 6
Standard Deviation: 1.9
Mean: 6
Standard Deviation: 1.2
Mean: 6
Standard Deviation: 2.3
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The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
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Which data set has the smallest standard deviation of the three? The largest? Justify your answer.
Algebra I > Module 2 > Topic B > Lesson 5 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..