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.
Question ouverte 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?
Entrée de texte et de données mathématiques
Question ouverte 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?
Entrée de texte et de données mathématiques
Question ouverte 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.
Entrée de texte et de données mathématiques