Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 12 - Data Analysis and Probability - 12-3 Measures of Central Tendency and Dispersion - Practice and Problem-Solving Exercises - Page 742: 17

Answer

Dataset D has a much larger spread and higher average value

Work Step by Step

Dataset C: 4.5,7.1,8.3,6.9 Dataset D:2.1,29.5,1.2,3.3 Mean C: Add all the numbers and divide by 4 :$\frac{4.5+7.1+8.3+6.9}{4}$=6.7 Mean D: Add all the numbers and divide by 4: $\frac{2.1+29.5+1.2+3.3}{4}$=9.025 Dataset D has the larger average. Range C: The difference between the largest and smallest number: 8.3-4.5=3.8 Range D: The difference between the largest and smallest number:29.5-1.2=28.3. Dataset D has the larger spread. Set D has a higher average and a larger spread.
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