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Homework Discussion Read pages 476 – 489 Page 499: 1 – 3, 5, 7 – 11, 19, 21, (for 23, 25, 29, 30, 32, find the mean)
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NUMERICAL SUMMARIES OF DATA (page 558) Measures of location (central tendency) are numbers that tell us something about where the values of the data fall. The average of a set of N numbers is obtained by adding the numbers and dividing by N. Example. Average Home runs per season: Mike Sweeney
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STEP 1. Calculate the total of the data. STEP 2. Calculate N. STEP 3. Calculate the Average. Average = total / N THE AVERAGE (page 559).
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Example 10. Starting Salaries of Philosophy Majors Objective 1: Creating examples and counterexamples THE MEDIAN
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FINDING THE MEDIAN OF N NUMBERS (page 563) Step 1. Sort the original set. (Let represent the sorted data set.) Step 2. Compute the value of the locator: L=N/2. Step 3. The median is given by (a) if L is a whole number. (b) if L is not a whole number. [Notation: is L rounded up]
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PERCENTILES (page 489) The pth percentile of a data set is a value such that p percent of the numbers fall at or below the value and the rest fall at or above it.
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FINDING THE PTH PERCENTILE OF N NUMBERS (page 561) Step 1. Sort the original set. (Let represent the sorted data set.) Step 2. Compute the value of the locator: L=(p/100)xN. Step 3. The pth percentile is given by (a) if L is a whole number. (b) if L is not a whole number. [Notation: is L rounded up] Example 12. Consider the GPAs of 15 students: 3.4, 3.9, 3.3, 3.6, 3.5, 3.4, 4.0, 3.7, 3.3, 3.8, 3.6, 3.9, 3.7, 3.4, 3.6 3.3, 3.3, 3.4, 3.4, 3.4, 3.5, 3.6, 3.6, 3.6, 3.7, 3.7, 3.8, 3.9, 3.9, 4.0,
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The 50 th percentile of a data set is known as the median and is denoted by M. The first quartile (denoted ) is the 25th percentile and the third quartile (denoted ) is the 75th percentile. The median (50 th percentile) is often called the second quartile. THE QUARTILES (page 491)
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Homework Read pages 487 – 495 Page 499: 23, 25, 29, 30, 32, 33, 35, 37, 38, 41, 44, 45, 65, 67, 69 There will be an exam on Tuesday 3/20
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