Statistics

Surveys & Digital Tools

1

Good Survey Questions (Set A)

Circle the BEST survey question for finding useful data.

To find favourite sports:

What is your favourite sport?
Do you like sport?
Sport is fun, right?

To find how students get to school:

Do you walk?
How do you usually get to school?
Cars are best, aren't they?

To find favourite fruits:

Do you eat fruit?
Apples are the best fruit.
What is your favourite fruit?
2

Good Survey Questions (Set B)

Circle the best question.

To find bedtime:

Do you go to bed late?
What time do you usually go to bed?
8 pm is the best bedtime.

To find reading habits:

How many books did you read this month?
Do you read?
Reading is boring, isn't it?

To find pet preferences:

Dogs are better than cats.
What type of pet do you like most?
Do you have a pet?
3

Biased or Fair Question?

Circle whether each question is FAIR or BIASED.

What is your favourite colour?

Fair
Biased

Don't you agree that blue is the best colour?

Fair
Biased

How many siblings do you have?

Fair
Biased

Swimming is the most fun sport, right?

Fair
Biased
4

Types of Data (Set A)

Sort each example into the correct column.

Favourite colour
Number of siblings
Type of pet
Height in cm
Favourite subject
Number of books read
Categorical data
Numerical data
5

Types of Data (Set B)

Sort each example.

Eye colour
Age in years
Sport played
Temperature
Favourite food
Shoe size
Categorical data
Numerical data
6

Record Survey Results (Set A)

These are results of a survey about favourite subjects. Complete the tally chart.

ItemTallyTotal
Maths
English
Science
Art
7

Record Survey Results (Set B)

Complete the tally chart.

ItemTallyTotal
Dog
Cat
Fish
Bird
8

Choose the Right Display (Set A)

What is the best way to display these survey results?

Favourite colours (5 choices, 30 students)

Bar chart
Number line
Tally marks only

How many minutes students read each day

Picture graph
Dot plot
Pie chart

Types of pets owned by the class

Column graph
Line graph
Scatter plot
9

Choose the Right Display (Set B)

Circle the best display.

Favourite ice-cream flavours (100 people)

Bar chart
Tally chart
Number line

Temperature each day for a month

Pie chart
Line graph
Picture graph

How 24 hours are spent in a day

Bar chart
Pie chart
Dot plot
10

Good Survey Questions (Set C)

Circle the best survey question.

To find favourite season:

What is your favourite season?
Summer is great, isn't it?
Do you like weather?

To find screen time:

Screens are bad for you.
Do you use screens?
How many hours of screen time do you have each day?

To find favourite music:

Pop music is the best.
What type of music do you like most?
Do you listen to music?
11

Good Survey Questions (Set D)

Circle the best question.

To find travel preferences:

Where would you most like to travel?
Do you travel?
The beach is the best holiday spot.

To find breakfast habits:

What do you usually eat for breakfast?
Do you eat breakfast?
Toast is boring, right?

To find favourite animals:

What is your favourite animal?
Dogs are better than cats.
Do you like animals?

To find after-school activities:

Sport is the best activity.
Do you do anything after school?
What activities do you do after school?
12

Biased or Fair Question? (Set B)

Circle FAIR or BIASED.

How do you usually travel to school?

Fair
Biased

Everyone loves pizza, what is your favourite topping?

Fair
Biased

What is your favourite subject at school?

Fair
Biased

Don't you think maths homework is too hard?

Fair
Biased
13

Biased or Fair Question? (Set C)

Circle FAIR or BIASED.

How many hours do you sleep each night?

Fair
Biased

Wouldn't you agree that reading is boring?

Fair
Biased

What is your favourite type of book?

Fair
Biased

You like chocolate more than fruit, right?

Fair
Biased
14

Types of Data (Set C)

Sort each example.

Favourite animal
Number of goals scored
Transport to school
Time spent reading (minutes)
Hair colour
Number of pets
Categorical data
Numerical data
15

Types of Data (Set D)

Sort into the correct column.

Favourite TV show
Height in centimetres
Type of house
Number of rooms at home
Favourite sport
Daily steps walked
Categorical data
Numerical data
16

Record Survey Results (Set C)

Complete the tally chart for favourite drinks.

ItemTallyTotal
Water
Juice
Milk
Smoothie
17

Record Survey Results (Set D)

Complete the tally chart for favourite sports.

ItemTallyTotal
Soccer
Swimming
Cricket
Netball
Tennis
18

Survey Results Graph (Set A)

Use the picture graph to answer the questions.

Walk
Car
Bus
Bike
1

How many students were surveyed?

2

What is the most common way to get to school?

3

How many more students travel by car than by bus?

4

What fraction of students walk to school?

19

Survey Results Graph (Set B)

Use the picture graph to answer.

Maths
Art
PE
Music
1

How many students chose maths or PE?

2

What is the least popular subject?

3

How many students were surveyed altogether?

4

Which two subjects have the closest totals?

20

Choose the Right Display (Set C)

Choose the best display for each situation.

Comparing heights of students in a class

Dot plot
Pie chart
Tally chart

Showing how 30 students spend their pocket money across 4 categories

Pie chart
Number line
Scatter plot

Recording favourite animals of 25 students

Column graph
Line graph
Scatter plot

Showing temperature changes over a week

Line graph
Column graph
Pie chart
21

Choose the Right Display (Set D)

Circle the best display.

Comparing survey results from two classes

Side-by-side column graph
Pie chart
Tally marks

Showing the number of books each student read

Dot plot
Pie chart
Line graph

Displaying how students travel to school (percentages)

Pie chart
Dot plot
Number line
22

Match Data to Display Type

Draw a line from each data set to the best display.

Favourite colours of 30 students
Daily temperature over 2 weeks
Heights of 20 students
How 24 hours in a day are spent
Line graph
Column graph
Dot plot
Pie chart
23

Match Survey Step to Description

Draw a line from each survey step to what it means.

Write a question
Collect data
Organise data
Display data
Draw a conclusion
Create a graph or chart
Record answers from people
Make sure it is clear and fair
Sort results into groups
State what the data tells you
24

Reading a Data Display

Survey: How many books did you read last month? Results: 0 books = 2, 1 book = 5, 2 books = 8, 3 books = 6, 4+ books = 4.

How many students were surveyed?

What was the most common answer?

How many students read 2 or more books?

Write one sentence summarising these results.

25

Reading a Data Display (Set B)

Survey: How do you get to school? Walk = 6, Car = 11, Bus = 4, Bike = 3, Scooter = 1.

How many students were surveyed?

What was the least popular transport?

How many students used active transport (walk, bike, scooter)?

Write one conclusion from this data.

26

Sample Size

Circle the best answer about sample size.

To find the most popular fruit in your school, you should ask:

3 friends
50 students from different classes
Your mum

A survey of 100 people is usually:

Less reliable than 5 people
More reliable than 5 people
The same as 5 people

If you only survey your friends, the results might be:

Perfectly accurate
Biased
Always wrong
27

Plan Your Own Survey (Set A)

Design a survey. Plan it step by step.

What question do you want to investigate?

Write your survey question (clear and fair):

Who will you ask? How many people?

How will you record the data?

How will you display the results?

28

Plan Your Own Survey (Set B)

Design a different survey.

Topic:

Survey question:

Categories or answer options:

Best way to display results and why:

29

Plan Your Own Survey (Set C)

Design another survey on a topic of your choice.

Research question:

Survey question (fair and unbiased):

How many people will you survey? Why that number?

Draw the display you would use for the results:

Draw here
30

Analyse Survey Results (Set A)

Use these results to answer questions.

Survey: Favourite lunch. Sandwich = 12, Pasta = 8, Sushi = 5, Wrap = 5. What is the most popular?

How many students were surveyed?

If 5 more students were asked and they all chose pasta, what would be the new total for pasta?

Would sandwiches still be the most popular? Explain.

31

Analyse Survey Results (Set B)

Use these results to answer.

Survey: Favourite season. Summer = 10, Autumn = 5, Winter = 3, Spring = 7. Which season was most popular?

How many students were surveyed?

What fraction chose summer?

If you surveyed 50 more people, would you expect the same order? Why or why not?

32

Improve These Survey Questions (Set A)

Rewrite each question to make it better.

Bad question: 'Do you like good food?' Better question:

Bad question: 'Cats are the best, aren't they?' Better question:

Bad question: 'How old are you approximately?' Better question:

33

Improve These Survey Questions (Set B)

Rewrite each biased question to make it fair.

Bad question: 'You love summer, right?' Better question:

Bad question: 'Homework is terrible, don't you agree?' Better question:

Bad question: 'Do you like the amazingly beautiful beach?' Better question:

34

Digital Tools for Data (Set A)

Circle the best answer.

Which digital tool can create a graph from data?

Calculator
Spreadsheet
Word processor

Online survey tools help you:

Collect data from many people
Do maths homework
Write stories

A spreadsheet can automatically:

Draw pictures
Calculate totals
Write questions
35

Digital Tools for Data (Set B)

Circle the correct answer.

Which tool is best for making a pie chart?

Pencil and paper
Spreadsheet software
Calculator

A benefit of using digital tools for surveys is:

Results are always correct
Data can be sorted and graphed quickly
You do not need to ask questions

When collecting data online, you should:

Ask as many questions as possible
Keep the survey short and clear
Only ask friends
36

Compare Two Surveys

Two classes surveyed students about favourite fruit.

Class A (25 students): Apple = 10, Banana = 8, Mango = 7. Class B (20 students): Apple = 5, Banana = 9, Mango = 6. Which fruit was most popular in each class?

Can you compare the raw numbers directly? Why or why not?

Which class had a higher proportion of banana lovers? Show your working.

37

Survey Conclusions

Write a conclusion for each set of survey data.

Screen time: 0-1 hour = 4, 1-2 hours = 12, 2-3 hours = 7, 3+ hours = 2. Write a conclusion.

Favourite hobby: Sport = 11, Gaming = 8, Reading = 5, Art = 6. Write a conclusion.

38

From Question to Conclusion

Complete a full statistical investigation.

Investigation question:

Make up data for 20 responses:

Draw a graph to display your data:

Draw here

What conclusion can you draw from your data?

39

Challenge: Evaluate a Survey

Think critically about surveys.

A survey of 5 people found that 80% like chocolate. Is this reliable? Why or why not?

Why is it important to survey enough people?

Give an example of when a survey question could lead to biased results.

40

Home Activity: Run a Survey

Conduct a real survey at home!

  • 1Survey your family and neighbours about a topic you choose. Record data in a tally chart.
  • 2Use the data to create a graph. What did you discover?
  • 3Try using a digital tool (like a spreadsheet) to make a graph of your results.
  • 4Write 3 questions your data can answer. Ask a family member to answer them using your graph.
41

Writing Survey Questions

Write effective survey questions.

Write a question to find out students' favourite subject at school:

Write a question to find out how students travel to school:

A bad survey question is: 'Don't you agree that maths is important?' Why is this biased?

42

Random or Biased Sampling?

Decide whether each sampling method is random or biased.

To find the favourite sport in the school, you ask only the sports team. Is this biased? Why?

You put all students' names in a hat and draw 20. Is this random or biased?

You ask every 5th student on the roll. Is this random or biased?

43

Sort Survey Questions: Bias or No Bias?

Sort each question into the correct column.

What is your favourite colour?
Don't you love reading books?
How many hours do you sleep each night?
Isn't it obvious that dogs are better than cats?
Which subject do you prefer: maths or English?
Surely you agree that homework is useful?
Unbiased question
Biased question
44

Using Digital Tools for Data

Answer questions about using spreadsheets and digital tools.

What is one advantage of using a digital spreadsheet to record survey data?

A spreadsheet can automatically calculate the mean. Why is this useful?

What types of graphs can a spreadsheet create automatically?

45

Interpreting Survey Results

A class surveyed 30 students about their favourite school lunch.

Results: Sandwich 12, Salad 6, Hot food 9, Other 3. What fraction chose sandwich?

What percentage chose salad? (Percentage = count/total × 100)

Write two conclusions from the survey data.

46

Survey: How Do You Get to School?

20 students answered. Read the tally and answer questions.

ItemTallyTotal
Walk
Car
Bus
Bike
47

Primary and Secondary Data

Understand the difference between types of data.

What is primary data? Give an example.

What is secondary data? Give an example.

Which type of data would you use to find out your classmates' favourite food? Why?

48

Data Ethics

Think carefully about data collection and privacy.

Why is it important to ask people's permission before recording data about them?

What information should NOT be collected in a school survey? Give two examples.

If you collect data about people's health, how should you store it safely?

49

Library Books Borrowed This Term

Each book icon = 5 books borrowed. Read and answer.

Maths
Science
Fiction
History
Art
1

How many fiction books were borrowed?

2

How many more fiction books than maths books?

3

What was the total number of books borrowed?

4

Which category was most popular? Least popular?

50

Creating a Complete Survey Report

Plan and conduct a mini survey report.

Survey topic: ___. My question: ___

I asked ___ people. Results: ___, ___, ___, ___

Display type chosen: ___. Scale (if pictograph): ___

My main conclusion: ___

51

Challenge: Analysing Real Data

Use real-world data to answer these questions.

The average January temperatures in five Australian cities are: Sydney 26°C, Melbourne 25°C, Brisbane 29°C, Perth 31°C, Adelaide 29°C. Find the mean temperature across these cities.

Which city is the outlier? Does removing it change the mean significantly?

What questions could you investigate using this temperature data?