Data Transformations and Standard Deviation
Data Transformations and Standard Deviation
Investigate how changes applied to every value in a data set affect its mean and standard deviation.
Putting It All Together
Answer these open ended questions on your own or with others to form deeper math connections.
Open-ended question 1
Assume that the data corresponds to the scores of 40 students on a test. If the teacher decides to give an extra point to all students, does this affect the mean or the standard deviation? Why?
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Open-ended question 2
If the scores of two students change in such a way that one of them approaches the average and the other moves away by an equal amount, does this affect the average or the standard deviation? Why?
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Open-ended question 3
Is it possible that two data sets have the same mean and different standard deviations? And the same standard deviations but different means? Explain why.
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Prerequisite Resources
