## Algebra 1

Published by Prentice Hall

# Chapter 12 - Data Analysis and Probability - 12-3 Measures of Central Tendency and Dispersion - Practice and Problem-Solving Exercises - Page 730: 9

#### Answer

Mean: 63 Median: 52 Mode: Does not exist The median is the best measure of central tendency that describes the data.

#### Work Step by Step

To find the mean, we add up all of the values and divide by the total number of values. Mean: $\frac{38+43+48+52+65+75+120}{7} = 63$ To find the median, we order up all of the values from least to greatest and find the middle number. If there are an even total number of terms, then we take the average of the two terms that are closest to the middle. Median: $38, 43, 48, 52, 65, 75, 120 \rightarrow 52$ To find the mode, we determine the number that shows up the most. If no unique number shows up the most, then the mode does not exist. Mode: Does not exist There is an outlier in the data, so the median is the best measure of central tendency that describes the data.

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