A company employs 900 people, employed on different pay grades. The number of men and women at each pay grade is as follows: Pay Grade Men Women A 1 2 B 12 15 C 40 30 D 80 320 E 240 160 A full list of the employees has been made available for a survey on childcare provision at work. Describe how the company could construct a simple random sample of 40 employees.

A simple random sample is a sample such that every member of the population is equally likely to be included in the sample, independent of any other member of the population. Number the employees from 1 to 900 Use a random number generator to generate 40 random numbers between 1 and 900 . Choose the corresponding employees.

A company employs 900 people, employed on different pay grades. The number of men and women at each pay grade is as follows: Pay Grade Men Women A 1 2 B 12 15 C 40 30 D 80 320 E 240 160 A full list of the employees has been made available for a survey on childcare provision at work. Describe how the company could construct a systematic sample of 45 employees.

A systematic sample takes members of the population at regular intervals from an ordered sampling frame. Number the employees from 1 to 900 . Use a random number generator to pick a random starting point. Choose every 20 th employee from that point( 45 employees out of 900 means taking every 900 45 = 20 th employee)

EASY

MYP:4-5

IMPORTANT

Earn 100

You are concerned that the eggs in the kitchen are rotting. You can tell if an egg is rotten by breaking it open and smelling the contents If the egg is rotten there will be a pungent smell. Explain how you could conduct a simple random sample of the eggs.

Important Questions on So, What do you Think? (Drawing Reasonable Conclusions)

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 2

Alex lives in a high-rise apartment building containing

80

apartments, numbered

1 - 80

. He wants to conduct a survey to find out how many people on average live in each apartment. Explain how he could create a simple random sample of

20

apartments.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 2

Alex lives in a high-rise apartment building containing

80

apartments, numbered

1 - 80

. He wants to conduct a survey to find out how many people on average live in each apartment. Explain why a systematic sample of

20

apartments starting with apartment

3

and then selecting every fourth apartment might lead to bias.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 2

Alex lives in a high-rise apartment building containing

80

apartments, numbered

1 - 80

. He wants to conduct a survey to find out how many people on average live in each apartment. Describe any factors that would be relevant if Alex wished to take a stratified sample.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 3

A teenager wants to know how many of his friends watch cartoons. He sends a message to every

20

th person in the contact list on his phone. Determine what sort of sample this is. Comment on the suitability of this sampling method.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 4

A company employs $900$ people, employed on different pay grades. The number of men and women at each pay grade is as follows:

Pay Grade	Men	Women
$A$	$1$	$2$
$B$	$12$	$15$
$C$	$40$	$30$
$D$	$80$	$320$
$E$	$240$	$160$

A full list of the employees has been made available for a survey on childcare provision at work.

Describe how the company could construct a simple random sample of $40$ employees.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 4

A company employs $900$ people, employed on different pay grades. The number of men and women at each pay grade is as follows:

Pay Grade	Men	Women
$A$	$1$	$2$
$B$	$12$	$15$
$C$	$40$	$30$
$D$	$80$	$320$
$E$	$240$	$160$

A full list of the employees has been made available for a survey on childcare provision at work.

Describe how the company could construct a systematic sample of $45$ employees.

EASY

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 4

A company employs $900$ people, employed on different pay grades. The number of men and women at each pay grade is as follows:

Pay Grade	Men	Women
$A$	$1$	$2$
$B$	$12$	$15$
$C$	$40$	$30$
$D$	$80$	$320$
$E$	$240$	$160$

A full list of the employees has been made available for a survey on childcare provision at work.

Describe how the company could construct a stratified sample of $90$ employees. Explain clearly why it would be necessary to combine pay grades $A$ and $B$ .

MEDIUM

MYP:4-5

IMPORTANT

MYP Mathematics A concept based approach 4&5 Standard>Chapter 27 - So, What do you Think? (Drawing Reasonable Conclusions)>Practice 1>Q 5

Is it possible to conduct a random sample by selecting people at random from a sampling frame in a survey of the students in a school to find out the proportion of students who are vegetarian? Explain.

You are concerned that the eggs in the kitchen are rotting. You can tell if an egg is rotten by breaking it open and smelling the contents If the egg is rotten there will be a pungent smell. Explain how you could conduct a simple random sample of the eggs.

Important Questions on So, What do you Think? (Drawing Reasonable Conclusions)

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