Sampling Techniques
Interactive practice questions
Prior to an election, a news editor wanted to view the opinions of randomly selected people. Some two digit numbers were randomly generated, as shown in the picture, and starting with $37$37, the editor would choose a number $3$3 to the right, $1$1 down (so that the next number chosen would be $57$57). The numbers chosen were the ages of the people she would survey.
| $37$37 | $49$49 | $19$19 | $72$72 | $38$38 | $33$33 | $80$80 | $83$83 | $90$90 | $23$23 | $78$78 | $21$21 | $29$29 | $72$72 | $40$40 |
| $85$85 | $79$79 | $84$84 | $57$57 | $46$46 | $49$49 | $53$53 | $55$55 | $51$51 | $36$36 | $66$66 | $61$61 | $86$86 | $66$66 | $41$41 |
| $74$74 | $71$71 | $40$40 | $49$49 | $42$42 | $17$17 | $50$50 | $68$68 | $27$27 | $15$15 | $47$47 | $70$70 | $47$47 | $63$63 | $32$32 |
| $37$37 | $33$33 | $84$84 | $34$34 | $35$35 | $51$51 | $50$50 | $87$87 | $65$65 | $47$47 | $38$38 | $78$78 | $80$80 | $39$39 | $60$60 |
| $23$23 | $82$82 | $64$64 | $22$22 | $21$21 | $76$76 | $38$38 | $67$67 | $43$43 | $75$75 | $39$39 | $76$76 | $72$72 | $48$48 | $33$33 |
What are all the random numbers the editor chose?
Write your answers on the same line separated by a comma.
What is the range in ages of the people who will be surveyed?
In a study of asthma sufferers, a group of people were asked to identify which category they fit into:
- A - developed asthma from ages $0$0 to $10$10
- B - developed asthma in their teens
- C - developed asthma in their twenties
- D - developed asthma after the age of $30$30
Researchers then generated random values between $0$0 and $1$1 to decide which groups to choose participants from.
The following table shows the gender of $50$50 Year 12 students at a particular school.
| Students $1$1-$10$10 | $\text{m },\text{f },\text{m },\text{f },\text{ f },\text{m },\text{m },\text{m },\text{f },\text{m }$m ,f ,m ,f , f ,m ,m ,m ,f ,m |
| Students $11$11-$20$20 | $\text{m },\text{f },\text{m },\text{m },\text{f },\text{m },\text{f },\text{m },\text{f },\text{f }$m ,f ,m ,m ,f ,m ,f ,m ,f ,f |
| Students $21$21-$30$30 | $\text{f },\text{ f },\text{m },\text{m },\text{f },\text{m },\text{m },\text{f },\text{f },\text{f }$f , f ,m ,m ,f ,m ,m ,f ,f ,f |
| Students $31$31-$40$40 | $\text{m },\text{f },\text{m },\text{f },\text{f },\text{f },\text{m },\text{m },\text{m },\text{f }$m ,f ,m ,f ,f ,f ,m ,m ,m ,f |
| Students $41$41-$50$50 | $\text{f },\text{m },\text{f },\text{m },\text{m },\text{ f },\text{m },\text{f },\text{m },\text{f }$f ,m ,f ,m ,m , f ,m ,f ,m ,f |
A television station wants to estimate the number of viewers it had for a new show. They know that the country's population is $13620000$13620000. When they randomly selected $5000$5000 people and asked them if they had watched the show, they found that $400$400 of them had. What is $p$p, the estimated number of people who watched the show in the entire population?