Back to Compare center and spread of data sets — Problem 3 · 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
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Warm-Up: Mean, Median, and the Five-Number Summary

These problems review computations you already know from HSS.ID.A.1.

1.

A data set has five-number summary minimum =10= 10, Q1=14Q_1 = 14, median =18= 18, Q3=24Q_3 = 24, maximum =30= 30. Compute the IQR.