Back to Compare center and spread of data sets — Problem 2 · 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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Fluency Practice

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

1.

A second set is 7,7,8,9,97, 7, 8, 9, 9. Its mean is also 88. Without the long computation, which set is MORE spread out: this one or 4,6,8,10,124, 6, 8, 10, 12? Then state the larger standard deviation rounded to two decimals (it is 2.832.83 for one set and 0.890.89 for the other). Enter only the larger SD.