Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 12 - Data Analysis and Probability - 12-3 Measures of Central Tendency and Dispersion - Practice and Problem-Solving Exercises - Page 732: 39

Answer

mean=6.66x,median=6x,mode=4x,range=7x

Work Step by Step

You have the expressions 9x,4x,11x,7x,5x and 4x. To find the mean you have to add the values and divide by 6(total number of values in the expression) so $\frac{9x+4x+11x+7x+5x+4x}{6}$=$\frac{40x}{6}$=6.66x. To find the median you have to arrange the values from the smallest to the largest (4x+4x+5x+7x+9x+11x). The middle values are 5x,7x.To find the median between the two, you have to find their average so $\frac{5x+7x}{2}$=$\frac{12x}{2}$=6x The mode is the number which repeats the most so 4x is the mode in this data set. To find the range, you have to subtract the smallest number from the largest number so 11x-4x=7x. So 7x is the range
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