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Number of Students Presently Enrolled
| Year 8 | Year 9 | Year 10 | Year 11 | Year 12 | Total |
Boys | 98 | 95 | 95 | 76 | 65 | 429 |
Girls | 96 | 84 | 82 | 72 | 57 | 391 |
Total | 194 | 179 | 177 | 148 | 122 | 820 |
Question 1.
There are a number of sampling techniques you could use - random, accessibility, systematic, quota, judgemental, stratified, cluster or capture-recapture. Which technique (or combination of technique) would you use? Justify your choice by outlining the strengths of the technique(s) you chose and the weaknesses of at least three of the rejected techniques.
Question 2.
Suppose you decide to survey 100 students using a stratified sampling technique
a) How many year 8 boys would you survey? Show how you calculate this number.
Year Level | Number of Students | Number in Sample |
Year 8-Boys | 98 | 98/820 ×100 = 11.95 i.e 12 |
In a survey of year 8 boys with a population of 98, there would be 23 students surveyed.
b) Complete the table below showing the numbers of students (by gender and year level) you would include in your survey.
| Year 8 | Year 9 | Year 10 | Year 11 | Year 12 | Total |
Boys | 12 | 12 | 12 | 9 | 8 | 53 |
Girls | 12 | 10 | 10 | 9 | 7 | 48 |
Total | 24 | 22 | 22 | 18 | 15 | 101 |
Question 3
Suppose you calculated that you needed to include seven year 12 girls in your survey. You identify each girl by number from one to fifty-seven. If you use the last two digits of the numbers in the three-digit random number table on page 174 of your text book, starting in the bottom left hand corner and going up and down from left to right, which numbered girls would you include in your survey?
The numbered girls that would be included in the survey would be 51, 35, 57, 52, 14, 4 and 19.
Question 4
Available shirt sizes are 28, 30, 32, 34, 36, 38, 40, 42 and 44. You conduct your survey of 100 students to determine what size shirt they wear and obtain the...