Answered: Compare the appropriate measures of…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section9.1: Systems Of Equations

Problem 2E

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Question

Compare the appropriate measures of center and variability for the two sets of data.

Data Set A has a higher mean value of 8.8, and Data Set B has a lower range value of 8.

Data Set A has a higher median value of 9, and Data Set B has a lower IQR value of 2.5.

Data Set A has a lower mean value of 8.8, and Data Set B has a higher range value of 8.

Data Set A has a lower median value of 9, and Data Set B has a higher IQR value of 8.

Data Set A
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17
Data Set B
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Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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