Algebra and Trigonometry: Structure and Method, Book 2
2000th Edition
ISBN: 9780395977255
Author: MCDOUGAL LITTEL
Publisher: McDougal Littell
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Chapter 15.1, Problem 16WE
To determine
Identify the affect on mode, median and mean.
Expert Solution & Answer
Answer to Problem 16WE
Each should be reduced by
Explanation of Solution
Given information:
If each score in a set of scores were reduced by
Calculation:
The mode is the number that occurs most frequently. So each score is reduced by
The mean is the arithmetic average of the numbers. So it is computed by dividing the sum of the observations by the number of observations in the sidtribution. If each score is reduced by
The median is the observation that divides the distribution into two halves. If the data set contains odd number of observations, the middle observation would be median. If we reduced each score by
If the data set contains even number of observations, the median is the mean of the two middle observations. As we see from the previous step, if we reduce each score by
Hence, if we reduce each score by
Hence, even in the case of even number of observations, the median of the new data set will be
Hence, each should be reduced by
Chapter 15 Solutions
Algebra and Trigonometry: Structure and Method, Book 2
Ch. 15.1 - Prob. 1OECh. 15.1 - Prob. 2OECh. 15.1 - Prob. 3OECh. 15.1 - Prob. 4OECh. 15.1 - Prob. 5OECh. 15.1 - Prob. 6OECh. 15.1 - Prob. 7OECh. 15.1 - Prob. 8OECh. 15.1 - Prob. 1WECh. 15.1 - Prob. 2WE
Ch. 15.1 - Prob. 3WECh. 15.1 - Prob. 4WECh. 15.1 - Prob. 5WECh. 15.1 - Prob. 6WECh. 15.1 - Prob. 7WECh. 15.1 - Prob. 8WECh. 15.1 - Prob. 9WECh. 15.1 - Prob. 10WECh. 15.1 - Prob. 11WECh. 15.1 - Prob. 12WECh. 15.1 - Prob. 13WECh. 15.1 - Prob. 14WECh. 15.1 - Prob. 15WECh. 15.1 - Prob. 16WECh. 15.1 - Prob. 17WECh. 15.1 - Prob. 18WECh. 15.1 - Prob. 1MRECh. 15.1 - Prob. 2MRECh. 15.1 - Prob. 3MRECh. 15.1 - Prob. 4MRECh. 15.1 - Prob. 5MRECh. 15.1 - Prob. 6MRECh. 15.2 - Prob. 1OECh. 15.2 - Prob. 2OECh. 15.2 - Prob. 3OECh. 15.2 - Prob. 4OECh. 15.2 - Prob. 5OECh. 15.2 - Prob. 6OECh. 15.2 - Prob. 7OECh. 15.2 - Prob. 8OECh. 15.2 - Prob. 9OECh. 15.2 - Prob. 10OECh. 15.2 - Prob. 11OECh. 15.2 - Prob. 12OECh. 15.2 - Prob. 13OECh. 15.2 - Prob. 14OECh. 15.2 - Prob. 1WECh. 15.2 - Prob. 2WECh. 15.2 - Prob. 3WECh. 15.2 - Prob. 4WECh. 15.2 - Prob. 5WECh. 15.2 - Prob. 6WECh. 15.2 - Prob. 7WECh. 15.2 - Prob. 8WECh. 15.2 - Prob. 9WECh. 15.2 - Prob. 10WECh. 15.2 - Prob. 11WECh. 15.2 - Prob. 12WECh. 15.2 - Prob. 13WECh. 15.2 - Prob. 14WECh. 15.2 - Prob. 15WECh. 15.2 - Prob. 16WECh. 15.2 - Prob. 17WECh. 15.2 - Prob. 18WECh. 15.2 - Prob. 19WECh. 15.2 - Prob. 20WECh. 15.3 - Prob. 1OECh. 15.3 - Prob. 2OECh. 15.3 - Prob. 3OECh. 15.3 - Prob. 4OECh. 15.3 - Prob. 5OECh. 15.3 - Prob. 6OECh. 15.3 - Prob. 1WECh. 15.3 - Prob. 2WECh. 15.3 - Prob. 3WECh. 15.3 - Prob. 4WECh. 15.3 - Prob. 5WECh. 15.3 - Prob. 6WECh. 15.3 - Prob. 7WECh. 15.3 - Prob. 8WECh. 15.3 - Prob. 9WECh. 15.3 - Prob. 10WECh. 15.3 - Prob. 11WECh. 15.3 - Prob. 12WECh. 15.3 - Prob. 1MRECh. 15.3 - Prob. 2MRECh. 15.3 - Prob. 3MRECh. 15.3 - Prob. 4MRECh. 15.3 - Prob. 5MRECh. 15.3 - Prob. 6MRECh. 15.4 - Prob. 1OECh. 15.4 - Prob. 2OECh. 15.4 - Prob. 3OECh. 15.4 - Prob. 1WECh. 15.4 - Prob. 2WECh. 15.4 - Prob. 3WECh. 15.4 - Prob. 4WECh. 15.4 - Prob. 5WECh. 15.4 - Prob. 6WECh. 15.4 - Prob. 7WECh. 15.4 - Prob. 8WECh. 15.4 - Prob. 9WECh. 15.4 - Prob. 10WECh. 15.4 - Prob. 11WECh. 15.4 - Prob. 12WECh. 15.4 - Prob. 13WECh. 15.4 - Prob. 1STCh. 15.4 - Prob. 2STCh. 15.4 - Prob. 3STCh. 15.4 - Prob. 4STCh. 15.4 - Prob. 5STCh. 15.4 - Prob. 6STCh. 15.5 - Prob. 1OECh. 15.5 - Prob. 2OECh. 15.5 - Prob. 3OECh. 15.5 - Prob. 4OECh. 15.5 - Prob. 1WECh. 15.5 - Prob. 2WECh. 15.5 - Prob. 3WECh. 15.5 - Prob. 4WECh. 15.5 - Prob. 5WECh. 15.5 - Prob. 6WECh. 15.5 - Prob. 7WECh. 15.5 - Prob. 8WECh. 15.5 - Prob. 9WECh. 15.5 - Prob. 10WECh. 15.5 - Prob. 11WECh. 15.5 - Prob. 12WECh. 15.5 - Prob. 13WECh. 15.5 - Prob. 14WECh. 15.5 - Prob. 15WECh. 15.5 - Prob. 16WECh. 15.5 - Prob. 17WECh. 15.5 - Prob. 18WECh. 15.5 - Prob. 19WECh. 15.5 - Prob. 20WECh. 15.5 - Prob. 1MRECh. 15.5 - Prob. 2MRECh. 15.5 - Prob. 3MRECh. 15.5 - Prob. 4MRECh. 15.5 - Prob. 5MRECh. 15.5 - Prob. 6MRECh. 15.5 - Prob. 7MRECh. 15.5 - Prob. 8MRECh. 15.6 - Prob. 1OECh. 15.6 - Prob. 2OECh. 15.6 - Prob. 3OECh. 15.6 - Prob. 4OECh. 15.6 - Prob. 5OECh. 15.6 - Prob. 6OECh. 15.6 - Prob. 7OECh. 15.6 - Prob. 8OECh. 15.6 - Prob. 9OECh. 15.6 - Prob. 10OECh. 15.6 - Prob. 11OECh. 15.6 - Prob. 12OECh. 15.6 - Prob. 1WECh. 15.6 - Prob. 2WECh. 15.6 - Prob. 3WECh. 15.6 - Prob. 4WECh. 15.6 - Prob. 5WECh. 15.6 - Prob. 6WECh. 15.6 - Prob. 7WECh. 15.6 - Prob. 8WECh. 15.6 - Prob. 9WECh. 15.6 - Prob. 10WECh. 15.6 - Prob. 11WECh. 15.6 - Prob. 12WECh. 15.6 - Prob. 13WECh. 15.6 - Prob. 14WECh. 15.6 - Prob. 15WECh. 15.6 - Prob. 16WECh. 15.6 - Prob. 17WECh. 15.6 - Prob. 18WECh. 15.6 - Prob. 19WECh. 15.6 - Prob. 20WECh. 15.6 - Prob. 21WECh. 15.6 - Prob. 22WECh. 15.6 - Prob. 23WECh. 15.6 - Prob. 24WECh. 15.6 - Prob. 25WECh. 15.6 - Prob. 26WECh. 15.6 - Prob. 27WECh. 15.6 - Prob. 28WECh. 15.6 - Prob. 29WECh. 15.6 - Prob. 30WECh. 15.6 - Prob. 31WECh. 15.7 - Prob. 1OECh. 15.7 - Prob. 2OECh. 15.7 - Prob. 3OECh. 15.7 - Prob. 4OECh. 15.7 - Prob. 5OECh. 15.7 - Prob. 6OECh. 15.7 - Prob. 7OECh. 15.7 - Prob. 1WECh. 15.7 - Prob. 2WECh. 15.7 - Prob. 3WECh. 15.7 - Prob. 4WECh. 15.7 - Prob. 5WECh. 15.7 - Prob. 6WECh. 15.7 - Prob. 7WECh. 15.7 - Prob. 8WECh. 15.7 - Prob. 9WECh. 15.7 - Prob. 10WECh. 15.7 - Prob. 11WECh. 15.7 - Prob. 12WECh. 15.7 - Prob. 13WECh. 15.7 - Prob. 14WECh. 15.7 - Prob. 15WECh. 15.7 - Prob. 16WECh. 15.7 - Prob. 17WECh. 15.7 - Prob. 18WECh. 15.7 - Prob. 19WECh. 15.7 - Prob. 20WECh. 15.7 - Prob. 21WECh. 15.7 - Prob. 22WECh. 15.7 - Prob. 23WECh. 15.7 - Prob. 24WECh. 15.7 - Prob. 25WECh. 15.7 - Prob. 26WECh. 15.7 - Prob. 27WECh. 15.7 - Prob. 28WECh. 15.7 - Prob. 29WECh. 15.7 - Prob. 30WECh. 15.7 - Prob. 1MRECh. 15.7 - Prob. 2MRECh. 15.7 - Prob. 3MRECh. 15.7 - Prob. 4MRECh. 15.7 - Prob. 5MRECh. 15.7 - Prob. 6MRECh. 15.7 - Prob. 7MRECh. 15.7 - Prob. 8MRECh. 15.7 - Prob. 9MRECh. 15.7 - Prob. 10MRECh. 15.7 - Prob. 11MRECh. 15.7 - Prob. 12MRECh. 15.7 - Prob. 1CECh. 15.7 - Prob. 2CECh. 15.7 - Prob. 3CECh. 15.7 - Prob. 4CECh. 15.7 - Prob. 5CECh. 15.7 - Prob. 1STCh. 15.7 - Prob. 2STCh. 15.7 - Prob. 3STCh. 15.7 - Prob. 4STCh. 15.7 - Prob. 5STCh. 15.7 - Prob. 6STCh. 15.8 - Prob. 1OECh. 15.8 - Prob. 2OECh. 15.8 - Prob. 1WECh. 15.8 - Prob. 2WECh. 15.8 - Prob. 3WECh. 15.8 - Prob. 4WECh. 15.8 - Prob. 5WECh. 15.8 - Prob. 6WECh. 15.8 - Prob. 7WECh. 15.8 - Prob. 8WECh. 15.8 - Prob. 9WECh. 15.8 - Prob. 10WECh. 15.8 - Prob. 11WECh. 15.8 - Prob. 12WECh. 15.8 - Prob. 13WECh. 15.8 - Prob. 14WECh. 15.8 - Prob. 15WECh. 15.8 - Prob. 16WECh. 15.9 - Prob. 1OECh. 15.9 - Prob. 2OECh. 15.9 - Prob. 3OECh. 15.9 - Prob. 4OECh. 15.9 - Prob. 5OECh. 15.9 - Prob. 6OECh. 15.9 - Prob. 7OECh. 15.9 - Prob. 8OECh. 15.9 - Prob. 9OECh. 15.9 - Prob. 10OECh. 15.9 - Prob. 11OECh. 15.9 - Prob. 1WECh. 15.9 - Prob. 2WECh. 15.9 - Prob. 3WECh. 15.9 - Prob. 4WECh. 15.9 - Prob. 5WECh. 15.9 - Prob. 6WECh. 15.9 - Prob. 7WECh. 15.9 - Prob. 8WECh. 15.9 - Prob. 9WECh. 15.9 - Prob. 10WECh. 15.9 - Prob. 11WECh. 15.9 - Prob. 12WECh. 15.9 - Prob. 13WECh. 15.9 - Prob. 14WECh. 15.9 - Prob. 1MRECh. 15.9 - Prob. 2MRECh. 15.9 - Prob. 3MRECh. 15.9 - Prob. 4MRECh. 15.9 - Prob. 5MRECh. 15.9 - Prob. 6MRECh. 15.9 - Prob. 7MRECh. 15.9 - Prob. 8MRECh. 15.9 - Prob. 1CECh. 15.9 - Prob. 2CECh. 15.9 - Prob. 3CECh. 15.9 - Prob. 4CECh. 15.9 - Prob. 5CECh. 15.9 - Prob. 6CECh. 15.9 - Prob. 1.1ECh. 15.9 - Prob. 1.2ECh. 15.9 - Prob. 1.3ECh. 15.9 - Prob. 1.4ECh. 15.9 - Prob. 1.5ECh. 15.9 - Prob. 1.6ECh. 15.9 - Prob. 2.1ECh. 15.9 - Prob. 2.2ECh. 15.9 - Prob. 2.3ECh. 15.9 - Prob. 2.4ECh. 15.9 - Prob. 2.5ECh. 15.9 - Prob. 2.6ECh. 15.9 - Prob. 2.7ECh. 15.9 - Prob. 2.8ECh. 15.10 - Prob. 1OECh. 15.10 - Prob. 2OECh. 15.10 - Prob. 3OECh. 15.10 - Prob. 4OECh. 15.10 - Prob. 5OECh. 15.10 - Prob. 1WECh. 15.10 - Prob. 2WECh. 15.10 - Prob. 3WECh. 15.10 - Prob. 4WECh. 15.10 - Prob. 5WECh. 15.10 - Prob. 6WECh. 15.10 - Prob. 7WECh. 15.10 - Prob. 8WECh. 15.10 - Prob. 9WECh. 15.10 - Prob. 10WECh. 15.10 - Prob. 11WECh. 15.10 - Prob. 12WECh. 15.10 - Prob. 13WECh. 15.10 - Prob. 14WECh. 15.10 - Prob. 15WECh. 15.10 - Prob. 16WECh. 15.10 - Prob. 17WECh. 15.10 - Prob. 1STCh. 15.10 - Prob. 2STCh. 15.10 - Prob. 3STCh. 15.10 - Prob. 1ECh. 15.10 - Prob. 2ECh. 15 - Prob. 1CRCh. 15 - Prob. 2CRCh. 15 - Prob. 3CRCh. 15 - Prob. 4CRCh. 15 - Prob. 5CRCh. 15 - Prob. 6CRCh. 15 - Prob. 7CRCh. 15 - Prob. 8CRCh. 15 - Prob. 9CRCh. 15 - Prob. 10CRCh. 15 - Prob. 11CRCh. 15 - Prob. 12CRCh. 15 - Prob. 1CTCh. 15 - Prob. 2CTCh. 15 - Prob. 3CTCh. 15 - Prob. 4CTCh. 15 - Prob. 5CTCh. 15 - Prob. 6CTCh. 15 - Prob. 7CTCh. 15 - Prob. 8CTCh. 15 - Prob. 9CTCh. 15 - Prob. 10CTCh. 15 - Prob. 11CT
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