Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Skills Handbook - Descriptive Statistics and Histograms - Exercises - Page 983: 4

Answer

$$mean = 2$$ $$median = 2$$ $$mode = 1$$

Work Step by Step

To calculate the mean, sum the data values in the set and divide by the number of data values in the set: $$mean = \frac{1+1+1+1+2+2+2+3+3+4}{10}=\frac{20}{10}=2.$$ The median is the middle value of the data set when it is arranged in increasing or decreasing order. If the number of values is even, then the median is the mean of the two middle values: $$1,1,1,1,2,2,2,3,3,4.$$ So $$median = \frac{2+2}{2}=2.$$ The mode is the value which occurs most often in the data set: $$mode = 1.$$
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