MATH 225 Week 3 Measures of Central Tendency Notes
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28651209425940©2024 Chamberlain University ©2024 Chamberlain University MATH225 Measures of Central Tendency A measure of central tendency is a value that represents a typical, or central entry of a data set. Mean (commonly referred to as the Average) Data set is the sum of the data entries divided by the number of entries. 1143000177284 Example: Find the mean of: 10, 7, 15, 6, 24, 20, 1 x̄ = 11.86 Example: The heights (in inches) of the players on the 2009-2010 Cleveland Cavaliers basketball team are listed. What is the mean height? 1168400253506 M = 79.5 inches Weighted Mean The mean of a data set whose entries have varying weights. 1601469133170𝑥 = 𝑥 = ∑(𝑥 ⋅𝑤) 191833532344 ∑ 𝑤 where w is the weight of each entry x Example: You are taking a class in which your grade is determined from five sources: 50% from your test mean, 15% from your midterm, 20% from your final exam, 10% from your computer lab work, and 5% from your homework. Your scores are 86 (test mean), 96 (midterm), 98 (final exam), 98 (computer lab), and 100 (homework). What is the weighted mean of your scores? wx Category Weight Score Points Test 0.50 86 43 Midterm 0.15 96 14.4 Final exam 0.20 98 19.6 CPU lab work 0.10 98 9.8 Homework 0.05 100 5 2488564223685Sum of weight = 1 Sum of weight = 1 5422265219875Sum of w * x = 91.
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