Back to Compare center and spread of data sets — Problem 4 · Task Set 2

Exercises: Comparing Center and Spread of Data Sets

Work through each section in order. Report center and spread as matched pairs: mean travels with standard deviation (SD), median travels with the interquartile range (IQR). Choose the pair by the SHAPE of the data first: roughly symmetric uses mean/SD; skewed or outlier-laden uses median/IQR. A complete comparison of two or more sets states a center finding AND a spread finding. Round SD to two decimal places unless told otherwise.

Grade 9·21 problems·~35 min·Common Core Math - HS Statistics and Probability·group·hss-id-a-2
Work through problems with immediate feedback
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Fluency Practice

Compute each statistic. Keep mean with SD and median with IQR.

A dot plot of books read with values 2, 3, 4, 4, 5, 6 forming a roughly symmetric mound with no outliers.
1.

The dot plot below shows the number of books 88 students read over the summer. Describe the shape (roughly symmetric, or skewed/outlier-laden), then name the matched pair of statistics — center and spread — you would report for this data.