Elementary Statistics (12th Edition)

Published by Pearson
ISBN 10: 0321836960
ISBN 13: 978-0-32183-696-0

Chapter 3 - Statistics for Describing, Exploring, and Comparing Data - 3-2 Measures of Center - Basic Skills and Concepts - Page 92: 15

Answer

The mean is 6.5, modes are 4 and 4.5, the median is 4.5, the midrange is 9.5.

Work Step by Step

The mean can be counted by summing all the data and dividing it by the number of data: $\frac{6\cdot 4+6\cdot4.5+6+6+8+9+9+13+13+15}{20}=6.5$, the mean is 6.5. The mode is the data occuring the most times, which here are 4 and 4.5 both appearing 6 times. The median is the average of the 1 or 2 (here 2) middle data: (4.5+4.5)/2=4.5, the median is 4.5. The midrange is the average of the highest and the lowest data: (4+15)/2=9.5, the midrange is 9.5. It is common to finish the degree in 4 years but most of the time it takes longer.
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