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Week 15: Data Analysis - Statistics

Ten Apart (Printable PDF)

Find a data set with a mode 10 greater than the mean, and a median 10 less than the mean.

Introducing Outliers

An outlier is a number that is significantly smaller or significantly larger than the rest of the numbers in the data set. Devise a data set that has an outlier.

How is the mean, median, and mode affected in a data set when you introduce an outlier? Explain your reasoning.



As seen in Problem Exploration

M7D1:  Students will pose questions, collect data, represent and analyze the data, and interpret results.

c. Analyze data using measures of central tendency (mean, median, and mode), including recognition of outliers.

d. Analyze data with respect to measures of variation (range, quartiles, interquartile range).

These problems involve finding the mean, median, and mode of a data set and dealing with outliers. The range in the data sets can be discussed because with outliers, the range should change.

A spreadsheet program as well as most graphing calculators come with features to help in finding the mean, median, and mode of a data set. (refer to the Technical Help/Tutorials section for help with various spreadsheet programs and graphing calculators).