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Representative Samples

Representative Samples

Assessment

Presentation

Mathematics

11th - 12th Grade

Hard

Created by

Joseph Anderson

FREE Resource

14 Slides • 30 Questions

1

Sampling Techniques - Statisctics

Lesson Objectives;

  • ​Define a population sample and describe a good representative sample.

  • ​describe with examples the different types of sampling methods.

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2

​Meaning of Sampling

​Watch the video about sampling, make some notes, and respond to the short quiz on representative samples

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3

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4

Multiple Choice

A school principal wants to see which subject the 695 students in his school liked best. Which choice BEST represents a representative sample?

1

The girls in the school.

2

1 classroom for each grade

3

All the students in the school.

4

The students making a B in math.

5

Multiple Choice

The part of the population being studied

1

population

2

sample

3

random

6

Multiple Choice

A toy store owner is tracking how much kids spend each month on toys. Which choice BEST represents a sample?

1

All of the kids who buy toys.

2

275 rich kids

3

200 random kids of all ages

4

292 boys ages 7-15

7

Multiple Choice

The city council in Middlefield wants to know if residents are in favor of a traffic camera at the main intersection in town. Which example is likely to produce a representative sample?

1

Drivers who reside in Middlefield

2

Residents randomly chosen from the town register

3

All residents of Middlefield

4

All people with a five-letter last name

8

Multiple Choice

Zara wants to know how teachers in the local school district feel about extending the school day to 30 minutes longer. Which method will produce a representative sample and therefore provide valid inference?

1

Survey all the teachers who have publicly protested or supported the proposal.

2

Survey the first 30 teachers who arrive at Zara's school in the morning.

3

Survey a random sample of 30 teachers within the school district.

4

Survey a random sample of 30 teachers and parents of kids within the district.

9

​Simple Random Sampling

​Watch the video about simple random sampling, make some notes, and respond to the short quiz on simple random sampling.

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10

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11

Multiple Choice

You want to study a random sample of 4 out of 26 students in your class. Describe a process you could use to create a random sample with 4 subjects.

1

Assign each student a number in alphabetical​ order, then select 4 random numbers.

2

Select 4 students who sit close to you.

3

Select the 4 students whose names come first alphabetically.

4

Assign each student a​ number, then select students 1 through 4.

12

Multiple Choice

What kind of sample technique is the following:

Survey 130 names chosen out of a hat.

1

Convenience Sampling

2

Simple Random Sampling

3

Systematic Sampling

4

Sample

13

Multiple Choice

_________ is a sample in which each individual or object in the entire population has na equal chance of being selected.

1

Sample

2

Population

3

Random Sample

4

Quartile

14

Multiple Choice

Identify the type of sampling technique

"Inn a recent research that was conducted in a private school, the subjects of the study were selected by using the Table of Random Numbers."

1

Simple Random Sampling

2

Systematic Sampling

3

Stratified Sampling

4

Cluster Sampling

15

Multiple Choice

Which of the following is the best definition of a simple random sample?

1

A sample created using random numbers

2

A sample where the simplest method of sampling is used

3

A sample which is representative of the population

4

A sample where each member of the population has an equal chance of being selected

16

​Stratified Random Sampling

​Watch the video about Stratified random sampling, make some notes, and respond to the short quiz on Stratified random sampling.

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17

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18

Multiple Choice

A teacher splits her classes up by period. She then randomly picks 3 students from each period to do a survey.

1

Stratified.

2

Systematic

3

Cluster

4

Biased.

19

Multiple Choice

This sample is selected by dividing the population into subgroups and then taking a fixed number of units from each group using the simple random sample.

1

stratified

2

cluster

3

judgment

4

experimental

20

Multiple Choice

Identify the sampling design: The LFCC registrar wants to investigate attitudes of their graduates.  The registrar randomly selects 100 names from each of the four past graduating classes.

1

cluster

2

volunteer

3

stratified

4

simple random

21

Multiple Choice

Identify the sampling design: Student government randomly samples 25 students of each of the four classes.

1

stratified

2

volunteer

3

systematic

4

simple random

22

Multiple Choice

A school chooses 3 randomly selected athletes from each of its sports teams to participate in a survey about athletics at the school.

1

Simple Random Sampling

2

Stratified Random Sampling

3

Cluster Random Sampling

4

Systematic Random Sampling

23

Cluster Random Sampling

​Watch the video about Cluster random sampling, make some notes, and respond to the short quiz on Cluster random sampling.

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24

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High school Statistics 2021-2022 - Google Jamboard.webm - Google Drive

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25

Multiple Choice

Mrs. Trahan samples her class by selecting all students sitting at group 1 and group 5 in her classroom.  This sampling technique is called?

1

Simple

2

Stratified

3

Systematic

4

Cluster

26

Multiple Choice

Farmer Joe separates his apple tree farm into 10 regions.  He counts the number of apples produced in just one of the regions and uses that estimate to predict the number of apples produced on the whole farm.  This is _______ sampling.

1

Simple

2

Cluster

3

Stratified

4

Systematic

27

Multiple Choice

An independent research company wants to go door to door to survey people in the city of Fontana. The company decides to number all blocks within the city limit, randomly choose 1 block and survey all households on that block.

This is an example of:

1

Simple Random Sample

2

Stratified Random Sample

3

Cluster Random Sample

4

Systematic Random Sampling

28

Multiple Choice

What type of Sampling?

You want to know the average number of hours that high school seniors spend playing video games in your state. You randomly select 20 high schools in the state and then ask all the seniors at each of the 20 high schools about their video game habits.

1

Random

2

Stratefied

3

Systematic

4

Cluster

29

Multiple Choice

What type of Sampling?

At a local community college, five math classes are randomly selected out of 20 and all of the students from each class are interviewed.

1

Random

2

Stratefied

3

Systematic

4

Cluster

30

Systematic Random Sampling

​Watch the video about Systematic random sampling, make some notes, and respond to the short quiz on Systematic random sampling.

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31

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32

Multiple Choice

What type of Sampling?

A restaurant owner wants to find out the average number of dishes ordered at each table served on Friday evenings, their busiest time. She decides to collect and analyze every fifth receipt of the night, starting at 6:00 p.m.

1

Random

2

Convenience

3

Systematic

4

Voluntary

33

Multiple Choice

What sampling method are you using if you survey every 5th person who enters the room.

1

Convenience

2

Systematic

3

Simple Random

34

Multiple Choice

Disneyland often surveys its guests as they exit a restaurant during their visit. The surveyor stands at the restaurant exit, counts the number of people leaving, and surveys every 25th guest. This is a form of:

1

Simple Random Sample

2

Stratified Random Sample

3

Voluntary Response

4

Systematic Random Sampling

35

Multiple Choice

Mrs. Trahan samples her class by selecting every third person on her class list.  Which type of sampling method is this?

1

Simple

2

Systematic

3

Stratified

4

Cluster

36

Multiple Choice

To find out what the preferred ice cream flavor is, wait outside an ice cream parlor and ask every 4th person leaving the store to name his or her favorite flavor until you get 25 responses is an example of...

1

Voluntary-Response

2

Random Sample

3

Stratified Sample

4

Systematic Sample

37

Multiple Choice

Willy wants to find what percent of students at his school drink milk after they finish their cereal. He selects every tenth person who enters the school. What kind of sampling technique is used?

1

Simple random sampling

2

Cluster sampling

3

Stratified sampling

4

Systematic sampling

38

Convenience Sampling

​Watch the video about Convenience sampling, make some notes, and respond to the short quiz on Convenience sampling.

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39

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40

Multiple Choice

A farmer subdivides his apple orchard into 50 subsections and selects the five subsections closest to his barn to sample all the trees.

1

Convenience

2

Systematic

3

Stratified

4

Simple Random

41

Multiple Choice

Which sampling method is this?

To sample fans at a Chiefs game, an attending fan surveys all the people on his row and the row directly above.

1

SRS

2

voluntary response

3

convenience

4

cluster

42

Multiple Choice

A teacher wants to know the average time spent doing homework by the students in her class of 20 girls and 5 boys.

She selects the five closest to her desk. What type of sampling method is being used?

1

simple random

2

Voluntary Response

3

Convenience

4

Systematic Random

43

Multiple Choice

A restaurant gives out comment cards to all of its customers one Friday evening, containing a brief survey about their overall experience.

What type of sampling is this?

1

Convenience sampling

2

Simple random sampling

3

Stratified random sampling

4

Quota sampling

44

​The End

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Sampling Techniques - Statisctics

Lesson Objectives;

  • ​Define a population sample and describe a good representative sample.

  • ​describe with examples the different types of sampling methods.

media

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