Statistics for Year 4: Data and Graphs Made Fun

Question 1

Let's explore the data set: 2, 5, 7, 10, 12, 15, 18, 20. Determine the lower quartile (Q1) and upper quartile (Q3) of this data. Explain how these values help us understand the spread of the data.

Accepted Answer

Q1 = 5, Q3 = 15 (The median is exactly halfway between Q1 and Q3, showing a balanced distribution.)

Answer

Q1 = 3, Q3 = 14 (Q3 is much larger than Q1, indicating the data is skewed towards higher values.)

Answer

Q1 = 5, Q3 = 18 (The small range of the data suggests a clustered distribution.)

Answer

Q1 = 8, Q3 = 12 (The data is evenly distributed across all quartiles.)

Question 2

Why is data transformation an important step in data analysis?

Accepted Answer

To make the data more suitable for analysis methods.

Answer

To enhance the visual appeal of the data.

Answer

To alter the data's meaning.

Answer

To eliminate outliers and extreme values.

Question 3

When collecting data, it's crucial to follow rules to ensure fairness and accuracy. Which of these is NOT a good rule to follow?

Accepted Answer

Ask different questions to different people.

Answer

Ask people questions politely.

Answer

Include people who represent the group you're studying.

Answer

Write down the data correctly and fully.

Question 4

How does technology help us work with data more easily?

Accepted Answer

It helps us gather data from different places quickly and easily.

Accepted Answer

It helps us organize and display data in clearer ways.

Accepted Answer

It helps us analyze data accurately and efficiently.

Answer

Technology is not helpful for data analysis.

Question 5

How can researchers show honesty and transparency in their work?

Accepted Answer

Collecting and using information accurately and responsibly

Answer

Not sharing their data with other researchers

Answer

Only reporting results that support their ideas

Answer

Ignoring the potential impact of their research on others

Question 6

Which of these is NOT a real way to show data?

Accepted Answer

Magic chart

Answer

Bar chart

Answer

Pie chart

Answer

Scatter plot

Question 7

You're surveying your classmates to find out their favorite colors. But you only ask your close friends. What type of sampling method is this?

Accepted Answer

Convenience sampling

Answer

Random sampling

Answer

Systematic sampling

Question 8

A bag has 5 red marbles and 7 blue marbles. If you pick a marble without looking, what is the chance of picking a red marble?

Accepted Answer

5 in 12

Answer

1 in 2

Answer

7 in 12

Question 9

To find out the favorite ice cream flavor in your class, which method should you use?

Accepted Answer

Ask every student in your class.

Answer

Ask only the students sitting in the front row.

Answer

Ask only the students wearing a specific color.

Question 10

When collecting information from people, it's important to make sure they feel respected. How can you do this?

Accepted Answer

Tell people how and why you will use the information.

Accepted Answer

Make sure people's information is kept safe.

Accepted Answer

Ask people if they are happy to give you the information.

Answer

Don't worry about making people feel comfortable, just get the information you need.

Question 11

What type of chart would you use to show how the temperature changes over time?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Pie chart

Question 12

Which of these is NOT a measure of the 'average' of a set of data?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 13

When looking at data that changes over time, which graph would be most suitable?

Accepted Answer

Line graph

Answer

Bar graph

Answer

Pie chart

Answer

Scatterplot

Question 14

During a survey, participants were asked to name their favourite colour. The results were: blue - 10 votes, red - 5 votes, green - 12 votes, yellow - 8 votes. Which colour received the fewest votes?

Accepted Answer

Red

Answer

Blue

Answer

Green

Answer

Yellow

Question 15

Which of these is NOT a way of displaying data?

Accepted Answer

Words

Answer

Charts

Answer

Graphs

Answer

Tables

Question 16

What does a bar chart show?

Accepted Answer

How many times something happens

Answer

The difference between two things

Answer

How two things are linked

Answer

The average of something

Question 17

Which of these is NOT a way to measure how spread out data is?

Accepted Answer

Mean

Answer

Range

Answer

Variance

Answer

Standard deviation

Question 18

What does a scatter plot show?

Accepted Answer

The link between two things

Answer

How one thing changes over time

Answer

The mean and median of something

Answer

The range of something

Question 19

Which of these is the best way to show how something changes over time?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Pie chart

Answer

Histogram

Question 20

What is the middle number in this set: 3, 5, 7, 9, 11, 13?

Accepted Answer

7

Answer

5

Answer

9

Answer

11

Question 21

What is the best way to collect data about your classmates' favorite animals?

Accepted Answer

Take a survey of your classmates' favorite animals.

Answer

Ask each classmate to write down their favorite animal on a piece of paper.

Answer

Interview each classmate one-on-one about their favorite animal.

Answer

Watch your classmates' behavior when they are near animals.

Question 22

Which type of chart shows data over time?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Pie chart

Answer

Venn diagram

Question 23

A statistic is:

Accepted Answer

A number that represents a set of data

Answer

A picture that represents data

Answer

A graph that shows data

Answer

A table that organizes data

Question 24

The mean is the:

Accepted Answer

Average of all the numbers in a set of data

Answer

Middle value of a set of data

Answer

Lowest value in a set of data

Question 25

Which number is repeated the most in the following set: 3, 5, 8, 2, 5, 1, 5, 4?

Accepted Answer

5

Answer

2

Answer

3

Answer

8

Question 26

The range of a set of data is:

Accepted Answer

The difference between the highest and lowest values.

Answer

The average of all the values.

Answer

The number of values in the set.

Question 27

Why should we collect data from a random group of people?

Accepted Answer

To make sure the data represents the whole group.

Answer

To make collecting data easier.

Question 28

A frequency table helps us:

Accepted Answer

Organize and count data.

Answer

Create a graph.

Answer

Find the average of the data.

Question 29

Mean, median, and mode are all:

Accepted Answer

Measures of central tendency.

Answer

Median

Question 30

Which of these is NOT a numerical data?

Accepted Answer

Favorite colors

Answer

Ages of students

Answer

Heights of buildings

Answer

Number of pets in a household

Question 31

Which of these is **not** a way of finding information?

Accepted Answer

Guessing

Answer

Doing a survey

Answer

Reading a book

Answer

Asking people

Question 32

What is the average of these numbers: 7, 11, 15, 19?

Accepted Answer

14

Answer

10

Answer

12

Answer

16

Question 33

Which of these is a way of describing how spread out data is?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 34

What is the most common number in this set: 2, 5, 9, 9, 11?

Accepted Answer

9

Answer

2

Answer

5

Answer

11

Question 35

What is the chance of getting a head when you flip a coin?

Accepted Answer

1 in 2

Answer

1 in 3

Answer

1 in 4

Answer

1 in 6

Question 36

Which of these is a good way to choose a representative sample?

Accepted Answer

Making sure the sample includes people of different ages, genders, and backgrounds.

Answer

Asking everyone in your class

Answer

Choosing the first 10 people you see

Answer

Choosing only people who you think will give you the answers you want.

Question 37

On a graph, which type of data can be plotted on the vertical axis?

Accepted Answer

Numbers

Answer

Names

Answer

Colors

Answer

Shapes

Question 38

Which type of graph best shows data that changes over time?

Accepted Answer

Line graph

Answer

Bar graph

Answer

Pie chart

Answer

Scatterplot

Question 39

Which of these measures how much data is spread out?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 40

When rolling a standard six-sided die, what is the chance of getting a 6?

Accepted Answer

1/6

Answer

1/2

Answer

1/4

Answer

1/8

Question 41

Which type of graph shows different parts of a whole?

Accepted Answer

Pie chart

Answer

Bar graph

Answer

Line graph

Answer

Scatterplot

Question 42

Which type of data point is very different from the rest of the data?

Accepted Answer

Outlier

Answer

Mode

Answer

Mean

Answer

Median

Question 43

What is the main difference between qualitative and quantitative data?

Accepted Answer

Quantitative data is numerical, while qualitative data is non-numerical.

Answer

Qualitative data is numerical, while quantitative data is non-numerical.

Answer

They are both numerical.

Answer

They are both non-numerical.

Question 44

Which of the following is not a way to collect data?

Accepted Answer

Making guesses

Answer

Surveys

Answer

Observations

Answer

Interviews

Question 45

What type of graph shows changes over time?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Pie chart

Answer

Venn diagram

Question 46

Which of the following is not a measure of the middle of a data set?

Accepted Answer

Perimeter

Answer

Mean

Answer

Mode

Answer

Median

Question 47

A group of students counted the number of pets they had. The results were: 2, 3, 1, 4, 2. What is the most common number of pets?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 48

What does the difference between the smallest and largest values in a data set tell us?

Accepted Answer

The range

Answer

The average

Answer

The number of values

Answer

The most common value

Question 49

Which of the following is not a number?

Accepted Answer

Gender

Answer

Height

Answer

Age

Answer

Temperature

Question 50

Which of the following is a good way to make data easy to understand?

Accepted Answer

Using charts and graphs

Answer

Writing a long paragraph about the data

Answer

Only showing the data that supports your argument

Answer

Ignoring any odd or unusual values in the data

Question 51

What type of chart shows information that changes over time?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Pie chart

Question 52

There are 50 blue marbles in a bag of 100 marbles. What fraction of the marbles are blue?

Accepted Answer

1/2

Answer

1/4

Answer

1/5

Question 53

Which of these terms refers to an average value?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 54

Which of the following is a fair way to choose a group of people to survey?

Accepted Answer

Choose people randomly from a list

Answer

Choose the first 50 people you meet

Answer

Choose people who live in the same neighbourhood

Question 55

In a bar chart, what does the height of each bar show?

Accepted Answer

The number of items in each group

Answer

The type of item in each group

Answer

The average number of items in each group

Question 56

Which type of chart is best for showing how many people prefer different flavours of ice cream?

Accepted Answer

Pie chart

Answer

Bar chart

Answer

Line graph

Question 57

Before we can analyze data, what's the first thing we need to do to prepare it?

Accepted Answer

Clean and transform the data

Answer

Create charts and graphs

Answer

Analyze the data

Question 58

What does it mean when we say something is 'statistically significant'?

Accepted Answer

When the results of a study are unlikely to have happened by chance.

Answer

When something is very surprising or unexpected.

Answer

When the results of a study are reliable and can be trusted.

Answer

When the results of a study are important or meaningful.

Question 59

What is the possible difference between the average of a sample and the average of the whole group?

Accepted Answer

Sampling error

Answer

Range

Answer

Number of incorrect answers

Question 60

Which number occurs most often in this set of data: 5, 7, 5, 10, 12, 5, 8?

Accepted Answer

5

Answer

7

Answer

10

Answer

12

Question 61

A survey of 20 students' favorite fruits gave these results: 6 apples, 4 oranges, 5 bananas, 3 pears, 2 grapes. Which fruit is the least popular?

Accepted Answer

Pear

Answer

Apple

Answer

Orange

Answer

Banana

Question 62

The following data shows the number of goals scored by a football team in each of their last 5 matches: 2, 3, 4, 1, 5. What is the average number of goals scored per match?

Accepted Answer

3.0

Answer

2.5

Answer

3.5

Answer

4.0

Question 63

Which type of graph is best for representing the following data: Number of sunny days in a week: Monday - 2, Tuesday - 3, Wednesday - 1, Thursday - 4, Friday - 5, Saturday - 6, Sunday - 5?

Accepted Answer

Bar chart

Answer

Line graph

Answer

Pie chart

Answer

Scatter plot

Question 64

How are bar charts different from pie charts?

Accepted Answer

Bar charts show individual values, while pie charts show proportions.

Answer

Pie charts show individual values, while bar charts show proportions.

Answer

Both bar charts and pie charts show proportions.

Answer

Both bar charts and pie charts show individual values.