The Five Number Summary Lecture 16 Sections 5 3 1 5 3 3 Robb T Koether Hampden Sydney College Tue Sep 20 2011 Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 1 40 Outline 1 Homework Review 2 Percentiles and Quartiles 3 The Five Number Summary 4 TI 83 Five Number Summary 5 The Interquartile Range 6 Percentiles in Excel 7 Assignment Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 2 40 Outline 1 Homework Review 2 Percentiles and Quartiles 3 The Five Number Summary 4 TI 83 Five Number Summary 5 The Interquartile Range 6 Percentiles in Excel 7 Assignment Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 3 40 Exercise 5 3 p 311 A professor teaches two statistics classes The morning class has 25 students and their average on the first test was 82 The evening class has 15 students and their average on the same test was 74 What is the average on this test if the professor combines the scores for both classes Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 4 40 Exercise 5 3 p 311 A professor teaches two statistics classes The morning class has 25 students and their average on the first test was 82 The evening class has 15 students and their average on the same test was 74 What is the average on this test if the professor combines the scores for both classes This would be a weighted average Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 4 40 Exercise 5 3 p 311 A professor teaches two statistics classes The morning class has 25 students and their average on the first test was 82 The evening class has 15 students and their average on the same test was 74 What is the average on this test if the professor combines the scores for both classes This would be a weighted average 25 82 15 74 25 15 2050 1110 40 3160 40 79 avg Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 4 40 Outline 1 Homework Review 2 Percentiles and Quartiles 3 The Five Number Summary 4 TI 83 Five Number Summary 5 The Interquartile Range 6 Percentiles in Excel 7 Assignment Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 5 40 Percentiles and Quartiles Definition pth Percentile The pth percentile of a set of numbers is a number that divides the lower p of the numbers from the rest Definition 1st Quartile The 1st quartile denoted Q1 of a set of numbers is the 25th percentile Definition 3rd Quartile The 3rd quartile denoted Q3 of a set of numbers is the 75th percentile Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 6 40 Finding Quartiles To find the quartiles first find the position of the median Then the 1st quartile is the median of all the numbers that are below that position The 3rd quartile is the median of all the numbers that are above that position Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 7 40 Example Example Quartiles Find the median and quartiles of the following sample 5 8 10 15 17 19 20 24 25 30 32 Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 8 40 Example Example Quartiles Find the median and quartiles of the following sample 5 8 10 15 17 19 20 24 25 30 32 Median Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 9 40 Example Example Quartiles Find the median and quartiles of the following sample 5 8 10 15 17 19 20 24 25 30 32 Median Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 10 40 Example Example Quartiles Find the median and quartiles of the following sample 5 8 10 15 17 19 20 24 25 30 32 Q1 Robb T Koether Hampden Sydney College Median The Five Number Summary Q3 Tue Sep 20 2011 11 40 Outline 1 Homework Review 2 Percentiles and Quartiles 3 The Five Number Summary 4 TI 83 Five Number Summary 5 The Interquartile Range 6 Percentiles in Excel 7 Assignment Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 12 40 Definition Five Number Summary The five number summary of a set of numbers consists of the five quantities Minimum 1st quartile Median 3rd quartile Maximum These five numbers divide the set of numbers into four groups of equal size each containing one fourth of the set Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 13 40 Example Example Five Number Summary The five number summary of the previous sample is Min 5 Q1 10 Med 19 Q3 25 Max 32 5 8 10 15 17 19 20 24 25 30 32 Min Robb T Koether Hampden Sydney College Q1 Median The Five Number Summary Q3 Max Tue Sep 20 2011 14 40 Practice Practice Find the five number summary of the Plant B data from Exercise 4 36 page 262 27 29 31 32 32 33 33 34 37 44 46 51 56 56 57 58 58 59 62 63 Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 15 40 Outline 1 Homework Review 2 Percentiles and Quartiles 3 The Five Number Summary 4 TI 83 Five Number Summary 5 The Interquartile Range 6 Percentiles in Excel 7 Assignment Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 16 40 TI 83 Five Number Summary TI 83 Five Number Summary Follow the same procedure that was used to find the mean When the list of statistics appears scroll down to the ones labeled minX Q1 Med Q3 maxX They are the five number summary Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 17 40 TI 83 Five Number Summary TI 83 Five Number Summary Use the TI 83 to find the five number summary of the rainfall data 5 94 1 11 9 52 0 08 6 14 8 68 2 93 2 03 3 60 14 71 4 01 0 85 6 89 11 07 4 42 3 41 2 85 2 56 1 92 5 15 1 58 4 44 0 77 4 76 1 15 3 02 1 73 2 60 2 56 10 01 Robb T Koether Hampden Sydney College The Five Number Summary Tue Sep 20 2011 18 40 Five Number Summaries and Distributions If the distribution were uniform from 0 to 10 what would be the five number summary 0 1 Robb T Koether Hampden Sydney College 2 3 4 5 6 7 The Five Number Summary 8 9 10 Tue Sep 20 2011 19 40 Five Number Summaries and Distributions If the distribution were uniform from 0 to …
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