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Grade 11

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
a

What are all the random numbers the editor chose?

Write your answers on the same line separated by a comma.

b

What is the range in ages of the people who will be surveyed?

Easy
3min

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.

Easy
1min

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
Easy
5min

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?

Easy
2min
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Outcomes

11C.D.1.4

Describe and compare sampling techniques; collect one-variable data from primary sources, using appropriate sampling techniques in a variety of real-world situations; and organize and store the data

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