... now stratify the sample. We will just tale 80 pupils i.e. a third of each of the entries above. Doing it his way we will ensure we have proportional representation. Therefore we have the following numbers. Instructor A Instructor B Instructor C Instructor D Males 10 16 6 7 Females 10 17 7 7 We picked the numbers in each group by random sampling. We then copied and pasted our eighty random pupils into a new spreadsheet. We sorted this new spreadsheet by gender and the number of minor mistakes. The resulting spreadsheet is overleaf. Number of Number of Gender 1 hour lessons minor mistakes Instructor Day Time 8 F 10 1 A Thur 9.00 19 F 38 2 C Fri 14.00 10 F 11 3 A Fri 13.00 4 F 23 3 B Wed 11.00 15 F 34 3 B Tue 15.00 13 F 36 3 C Fri 17.00 12 F 36 4 C Mon 10.00 22 F 36 4 C Fri 15.00 12 F 23 5 A Mon 9.00 14 F 27 5 A Fri 14.00 10 F 17 5 B Tue 10.00 19 F 27 5 B Wed 11.00 28 F 29 5 B Mon 15.00 29 F 22 5 B Thur 15.00 20 F 36 5 C Wed 13.00 13 F 25 6 A Mon 15.00 23 F 11 7 A Mon 16.00 28 F 31 7 A Tue 12.00 4 F 20 8 A Wed 10.00 16 F 15 9 A Mon 16.00 27 F 26 9 A Fri 16.00 37 F 13 9 B Fri 11.00 43 F 16 9 B Wed 16.00 7 F 8 10 A Wed 10.00 13 F 23 10 B Wed 13.00 22 F 15 10 B Fri 11.00 1 F 15 11 A Mon 9.00 15 F 15 11 A Wed 9.00 3 F 15 12 A Mon 14.00 22 F 30 12 A Fri 10.00 17 F 27 12 B Thur 15.00 17 F 19 13 A Fri 16.00 24 F 12 13 A Thur 17.00 24 F 38 13 B Mon 17.00 11 F 29 13 C Fri 15.00 16 F 29 13 C Thur 11.00 5 F 20 14 A Fri 9.00 9 F 10 14 A Thur 10.00 11 F 13 14 A Wed 13.00 18 F 22 14 A Thur 16.00 25 F 23 14 A Wed 14.00 30 F 11 14 A Wed 15.00 25 F 21 14 B Wed 11.00 45 F 18 14 B Fri 11.00 10 F 28 14 C Mon 11.00 2 F 15 15 A Tue 15.00 19 F 16 15 A Mon 12.00 8 F 30 15 B Mon 11.00 1 F 28 15 C Wed 14.00 20 F 17 16 A Wed 10.00 44 F 34 16 B Thur 9.00 17 F 27 16 C Tue 12.00 26 F 16 17 A Fri 9.00 29 F 14 17 A Tue 11.00 14 F 11 17 B Tue 10.00 16 F 14 17 B Wed 10.00 42 F 14 17 B Tue 10.00 49 F 12 17 B Mon 15.00 21 F 26 17 C Thur 10.00 14 F 32 17 D Fri 14.00 17 F 37 18 D Mon 14.00 6 F 20 19 A Mon 13.00 3 F 17 19 B Fri 12.00 5 F 13 19 B Fri 10.00 9 F 18 19 B Fri 10.00 21 F 31 19 B Thur 12.00 32 F 26 19 B Mon 12.00 1 F 40 19 D Fri 17.00 33 F 23 20 B Tue 16.00 39 F 32 20 B Wed 13.00 19 F 39 20 D Thur 9.00 23 F 18 21 B Thur 17.00 3 F 23 21 C Tue 13.00 9 F 22 21 C Mon 11.00 1 F 10 22 B Fri 16.00 12 F 39 23 B Wed 17.00 31 F 29 23 B Mon 15.00 8 F 12 23 C Tue 16.00 10 F 32 23 D Mon 14.00 12 F 32 23 D Fri 14.00 11 F 30 24 B Fri 12.00 26 F 29 24 B Fri 11.00 4 F 31 24 D Mon 17.00 16 F 31 24 D Thur 13.00 4 F 20 25 C Fri 12.00 11 F 30 25 D Thur 9.00 6 F 26 26 B Mon 11.00 48 F 38 26 B Tue 10.00 5 F 19 26 C Mon 11.00 9 F 27 26 D Tue 9.00 21 F 5 27 A Fri 14.00 31 F 6 27 A Wed 10.00 20 F 27 27 B Fri 12.00 18 F 20 27 C Wed 11.00 18 F 36 28 B Wed 13.00 34 F 20 28 B Tue 13.00 51 F 17 28 B Thur 14.00 5 F 24 28 D Mon 10.00 27 F 19 29 B Fri 17.00 38 F 22 30 B Thur 9.00 6 F 16 30 C Fri 10.00 13 F 18 30 D Mon 17.00 15 F 13 31 C Mon 12.00 8 F 19 31 D Thur 17.00 15 F 17 31 D Wed 13.00 36 F 21 32 B Thur 13.00 41 F 25 32 B Thur 13.00 46 F 31 32 B Wed 13.00 47 F 26 32 B Tue 15.00 7 F 11 32 C Thur 17.00 7 F 18 32 D Fri 12.00 2 F 12 33 B Thur 14.00 50 F 31 33 B Thur 13.00 6 F 16 33 D Thur 13.00 35 F 15 34 B Tue 10.00 40 F 28 34 B Fri 14.00 18 F 14 34 D Tue 13.00 3 F 11 36 D Thur 13.00 20 F 10 37 D Thur 10.00 7 F 24 B Wed 16.00 30 F 39 B Tue 16.00 2 F 39 C Mon 17.00 14 F 16 C Fri 14.00 2 F 30 D Tue 13.00 4 M 31 1 B Fri 13.00 17 M 31 1 B Mon 14.00 33 M 27 1 B Thur 9.00 46 M 29 1 B Thur 11.00 47 M 29 1 B Tue 10.00 18 M 27 2 A Tue 17.00 4 M 40 2 C Fri 11.00 17 M 26 3 A Wed 17.00 18 M 30 3 B Tue 11.00 48 M 30 3 B Fri 14.00 16 M 25 4 A Fri 10.00 20 M 29 4 B Thur 17.00 28 M 31 4 B Thur 12.00 10 M 40 4 C Thur 13.00 16 M 35 4 C Thur 14.00 3 M 40 4 D Fri 14.00 15 M 24 5 A Mon 17.00 45 M 25 5 B Fri 10.00 7 M 35 5 C Wed 14.00 17 M 40 5 C Fri 15.00 26 M 19 6 A Fri 14.00 9 M 34 6 B Wed 16.00 22 M 37 6 B Mon 16.00 32 M 32 6 B Fri 14.00 13 M 35 6 C Tue 11.00 20 M 22 7 A Thur 17.00 21 M 40 7 B Thur 12.00 7 M 20 8 A Mon 10.00 19 M 21 8 A Thur 16.00 21 M 17 8 A Tue 15.00 25 M 14 8 A Fri 17.00 49 M 23 8 B Mon 9.00 2 M 9 9 A Wed 9.00 9 M 15 9 A Fri 10.00 13 M 19 9 A Thur 10.00 1 M 24 9 B Fri 13.00 23 M 39 9 B Mon 11.00 34 M 34 9 B Tue 13.00 43 M 34 9 B Thur 17.00 2 M 22 9 D Fri 13.00 3 M 14 10 A Fri 13.00 11 M 17 10 A Fri 11.00 26 M 25 10 B Wed 9.00 12 M 32 10 C Fri 11.00 5 M 38 10 D Mon 17.00 4 M 20 11 A Fri 9.00 16 M 40 11 B Fri 9.00 30 M 24 11 B Thur 9.00 5 M 20 12 A Thur 14.00 15 M 23 12 B Fri 14.00 1 M 8 13 A Mon 17.00 14 M 19 13 A Mon 12.00 18 M 29 13 C Mon 11.00 1 M 32 13 D Mon 14.00 8 M 15 14 A Mon 15.00 10 M 16 14 A Wed 17.00 27 M 22 14 B Tue 11.00 5 M 40 15 B Thur 12.00 10 M 20 15 B Tue 17.00 11 M 20 15 B Mon 16.00 19 M 21 15 B Tue 9.00 12 M 18 16 A Fri 13.00 6 M 19 16 B Thur 15.00 29 M 13 17 A Fri 16.00 35 M 17 17 B Wed 15.00 39 M 17 17 B Mon 17.00 6 M 20 19 A Fri 9.00 24 M 9 19 A Thur 12.00 27 M 18 19 A Thur 14.00 13 M 17 19 B Thur 12.00 14 M 25 19 C Thur 11.00 18 M 40 19 D Tue 9.00 28 M 21 20 A Fri 17.00 20 M 40 20 D Wed 16.00 12 M 16 21 B Mon 16.00 24 M 20 21 B Wed 15.00 38 M 15 21 B Mon 13.00 12 M 40 21 D Mon 9.00 14 M 15 22 B Tue 12.00 25 M 16 22 B Fri 11.00 40 M 14 22 B Thur 17.00 42 M 14 22 B Thur 17.00 23 M 6 23 A Mon 11.00 8 M 30 23 D Wed 9.00 14 M 29 23 D Tue 15.00 8 M 15 24 B Wed 13.00 1 M 16 24 C Fri 9.00 19 M 28 24 D Fri 9.00 4 M 29 25 D Tue 11.00 6 M 26 25 D Thur 12.00 29 M 13 26 B Wed 15.00 16 M 28 26 D Tue 12.00 2 M 10 27 C Thur 13.00 8 M 16 27 C Mon 13.00 15 M 18 27 C Thur 14.00 7 M 26 27 D Thur 15.00 17 M 29 27 D Thur 12.00 2 M 13 28 B Mon 12.00 15 M 25 28 D Thur 9.00 41 M 10 29 B Fri 11.00 11 M 27 29 D Thur 16.00 7 M 10 30 B Mon 13.00 10 M 17 30 D Mon 15.00 22 M 8 31 A Wed 10.00 11 M 20 31 C Tue 9.00 3 M 14 32 C Thur 15.00 9 M 10 34 C Thur 9.00 13 M 15 35 D Wed 14.00 3 M 32 B Fri 11.00 31 M 32 B Fri 16.00 36 M 24 B Wed 10.00 37 M 12 B Fri 10.00 44 M 39 B Mon 14.00 5 M 14 C Fri 13.00 6 M 16 C Mon 10.00 9 M 18 D Fri 13.00 Using the table I will now make out a grouped frequency table for both genders. Number of minor mistakes Number of females 1-5 6 6-10 3 11-15 7 16-20 8 21-25 5 26-30 6 31-35 5 36-40 1 Number of minor mistakes Number of males 1-5 8 6-10 9 11-15 7 16-20 4 21-25 5 26-30 3 31-35 3 36-40 0 I will now make out a cumulative frequency table for both genders. Number of minor mistakes (Less than or equal to) Number of females 5 6 10 9 15 16 20 24 25 29 30 37 35 40 40 41 Number of minor mistakes (Less than or equal to) Number of males 5 8 10 17 15 24 20 28 25 33 30 36 35 39 40 39 For these cumulative frequency tables I will draw two separate cumulative curves, ...

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