Data Handling: Solving Problems with Data for Year 6 Maths

Question 1

What's the best way to organize data from a survey?

Accepted Answer

In a table

Answer

In a graph

Answer

In a list

Answer

In a mind map

Question 2

Which graph is best suited to present results of a survey on favorite colors?

Accepted Answer

Pie chart

Answer

Bar graph

Answer

Line graph

Answer

Scatter plot

Question 3

What does the median of a set of data tell us?

Accepted Answer

The middle value

Answer

The average value

Answer

The highest value

Answer

The lowest value

Question 4

Which of these is a misleading way to interpret data?

Accepted Answer

Using a small group to make assumptions about a larger group

Answer

Ignoring unusual values in the data

Answer

Using clear and unbiased language

Answer

Considering different viewpoints

Question 5

How do we decide which data is most relevant to solving a problem?

Accepted Answer

Think about the problem's goal

Answer

Gather as much data as possible

Answer

Use the data that's easiest to get

Answer

Ignore any data that doesn't seem important

Question 6

You have a list of 100 favorite colors from your classmates. Which method would be most helpful in organizing this data to easily see which color is the most popular?

Accepted Answer

Make a frequency table

Answer

Write the data as a paragraph

Answer

Draw a picture of the data

Answer

Don't organize the data

Question 7

What kind of graph is best for showing changes over time?

Accepted Answer

Line graph

Answer

Bar graph

Answer

Pie chart

Question 8

Which of these is NOT used to describe the middle of a data set?

Accepted Answer

Range

Answer

Mean

Answer

Median

Question 9

What does it mean if the probability of an event is 0.5?

Accepted Answer

The event is likely to happen.

Answer

The event is sure to happen.

Answer

The event is unlikely to happen.

Question 10

A spinner has 6 equal parts. Each part has a number between 1 and 6. What is the chance of spinning an even number?

Accepted Answer

1 in 2

Answer

1 in 3

Answer

1 in 4

Answer

1 in 6

Question 11

A data set has a mean of 10 and a median of 12. What does this tell us about the data?

Accepted Answer

It may have some extreme values.

Answer

It is evenly spread out.

Answer

It is skewed towards higher numbers.

Question 12

What is the most effective way to organize data to reveal trends and patterns?

Accepted Answer

Group similar data together

Answer

Arrange it randomly

Answer

Keep it in the order it was gathered

Answer

List it all in a single column

Question 13

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

Accepted Answer

3

Answer

2

Answer

4

Answer

5

Question 14

Which of the following graphs is best suited to display the data set {2, 4, 6, 8, 10}?

Accepted Answer

Bar graph

Answer

Line graph

Answer

Scatter plot

Answer

Pie chart

Question 15

A survey of 100 people showed that 60% of them owned a mobile phone. How many people in the survey did not own a mobile phone?

Accepted Answer

40

Answer

50

Answer

60

Answer

70

Question 16

Which of the following is an example of a qualitative variable?

Accepted Answer

Gender

Answer

Age

Answer

Height

Answer

Temperature

Question 17

The average number of hours spent watching TV each day for a group of students is 2 hours. What does this mean?

Accepted Answer

Half watched less than 2 hours

Answer

Half watched more than 2 hours

Answer

Everyone watched exactly 2 hours

Answer

The most common time spent was 2 hours

Question 18

In a survey, 120 out of 200 students said they have a pet. What percentage of students do not have a pet?

Accepted Answer

40%

Answer

30%

Answer

50%

Answer

60%

Question 19

Which of the following is the best way to organize data in a table?

Accepted Answer

By categories, topics, or types

Answer

By date

Answer

By size

Answer

Randomly

Question 20

What is the average (mean) of the following numbers: 5, 7, 9, 11?

Accepted Answer

8

Answer

6

Answer

10

Answer

12

Question 21

Which type of chart is best for showing data that changes over time?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Pie chart

Answer

Histogram

Question 22

A survey is given to 100 students. 60 students like to play football, 30 students like to play cricket, and the rest like to play other sports. What percentage of students like to play football?

Accepted Answer

60%

Answer

30%

Answer

40%

Answer

70%

Question 23

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

Accepted Answer

Personal opinions

Answer

Surveys

Answer

Interviews

Answer

Observations

Question 24

What is the first step in solving a problem involving data?

Accepted Answer

Collect the data

Answer

Analyze the data

Answer

Interpret the data

Answer

Present the data

Question 25

What does the mean of a set of data represent?

Accepted Answer

The average of all the data values

Answer

The sum of all the data values

Answer

The most frequently occurring value

Answer

The difference between the largest and smallest values

Question 26

Which of the following is a reliable source of information?

Accepted Answer

A peer-reviewed scientific journal

Answer

A blog post

Answer

Wikipedia

Answer

Social media

Question 27

What is the purpose of sampling in data collection?

Accepted Answer

To obtain a more accurate representation of the population

Answer

To reduce the cost of collecting data

Answer

To make data analysis easier

Answer

To avoid bias in the data

Question 28

Which of the following is the most appropriate tool for representing categorical data?

Accepted Answer

Bar chart

Answer

Line graph

Answer

Histogram

Answer

Scatterplot

Question 29

What is the importance of presenting data in a clear and concise way?

Accepted Answer

To make the data easier to understand and avoid confusion

Answer

To make the data more visually appealing

Answer

To impress the audience

Answer

To make the data more difficult to interpret

Question 30

What is NOT a method for collecting data?

Accepted Answer

Making predictions

Answer

Surveys

Answer

Interviews

Answer

Experiments

Question 31

What is the middle value of the following numbers: 5, 7, 9, 11, 13?

Accepted Answer

8

Answer

6

Answer

10

Answer

12

Question 32

What can we say about the following data set: 10, 12, 14, 16, 18?

Accepted Answer

The numbers increase by 2

Answer

The numbers decrease by 2

Answer

The numbers increase by 4

Answer

The numbers decrease by 4

Question 33

What is the main purpose of a pie chart?

Accepted Answer

To show the proportion of different categories in a data set

Answer

To show the relationship between two variables

Answer

To show the distribution of data

Answer

To show the frequency of data

Question 34

If 60% of students like pizza, what part of the class is that?

Accepted Answer

2/3

Answer

1/4

Answer

1/3

Answer

3/5

Question 35

Which of these shows how spread out data is?

Accepted Answer

Range

Answer

Median

Answer

Mean

Answer

Mode

Question 36

If the difference between the largest and smallest numbers in a data set is 10, what is the range?

Accepted Answer

10

Answer

5

Answer

15

Answer

20

Question 37

Which of these graphs is best to see how test scores are spread out in a class?

Accepted Answer

Histogram

Answer

Bar chart

Answer

Line graph

Answer

Scatter plot

Question 38

Which of these is NOT a way of gathering information?

Accepted Answer

Asking your friends

Answer

Surveys

Answer

Interviews

Answer

Experiments

Question 39

Which of these is a way to find the middle value in a set of data?

Accepted Answer

Mode

Answer

Range

Answer

Standard deviation

Answer

Correlation coefficient

Question 40

A scientist wants to find the average height of children in a school. What's the best way to do this?

Accepted Answer

Measure the height of all the children

Answer

Ask each child how tall they are

Answer

Measure the height of a few children and guess the rest

Answer

Look up the data online

Question 41

Scatter plots can be used to show:

Accepted Answer

Relationships between two things

Answer

Changes over time

Answer

How often something happens

Answer

Differences between groups

Question 42

A histogram shows the distribution of students' heights in a school. What is the most common height?

Accepted Answer

The most common height

Answer

The shortest height

Answer

The tallest height

Answer

The average height

Question 43

Which of these is NOT a way to collect information?

Accepted Answer

Asking friends

Answer

Interviews

Answer

Surveys

Answer

Experiments

Question 44

A table shows the heights of 10 students. What is the middle height?

Accepted Answer

The height in the middle

Answer

The height that occurs most often

Answer

The average of all the heights

Answer

The height that is the smallest

Question 45

Which of these describes how spread out data is?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 46

A scatter plot shows how study time relates to test scores. What does a positive correlation indicate?

Accepted Answer

As study time increases, the test score increases

Answer

As study time increases, the test score decreases

Answer

There is no relationship between study time and test score

Answer

As the test score increases, the study time decreases

Question 47

How can you make sure a survey is reliable?

Accepted Answer

Ask students from all classes

Answer

Ask only students in the same class

Answer

Ask only a few students

Answer

Ask students who are good at mathematics

Question 48

Why is data important in everyday life?

Accepted Answer

To help us make decisions

Answer

To convince people

Answer

To show off

Answer

To learn about the future

Question 49

Which is best for finding out how many people in a town would buy a new product?

Accepted Answer

Survey

Answer

Interview

Answer

Experiment

Answer

Observation

Question 50

Out of 100 students, 25 said their favorite color is Red, 30 said Blue, 20 said Green, 15 said Yellow, and 10 said Purple. Which color is the most popular?

Accepted Answer

Blue

Answer

Red

Answer

Green

Answer

Yellow

Question 51

Which of the following is NOT a method of collecting data?

Accepted Answer

Watching television

Answer

Surveys

Answer

Interviews

Answer

Experiments

Question 52

The mean of a set of numbers is the same as the:

Accepted Answer

Middle point

Answer

Most common value

Answer

Difference between the highest and lowest values

Answer

Total of all the values

Question 53

Which of the following is NOT important to think about when looking at data?

Accepted Answer

What color the graph is

Answer

How many people were included

Answer

Whether there is any bias

Answer

Any unusual values

Question 54

Which of the following is a good way to use data?

Accepted Answer

To make informed decisions

Answer

To trick people

Answer

To hide the truth

Answer

To scare people

Question 55

A scatter plot shows a positive correlation between two variables. What does this mean?

Accepted Answer

As one variable gets bigger, the other variable also gets bigger.

Answer

As one variable gets bigger, the other variable gets smaller.

Answer

There is no relationship between the two variables.

Answer

The relationship between the two variables is not a straight line.

Question 56

What is the best way to organize large amounts of data so that patterns can be easily identified?

Accepted Answer

Using a table or spreadsheet

Answer

Drawing a picture

Answer

Writing a paragraph

Answer

Creating a model

Question 57

Why is it important to use random sampling when collecting data?

Accepted Answer

To ensure that the sample is representative of the entire population.

Answer

To reduce the cost of data collection.

Answer

To make data collection easier.

Answer

To speed up the data collection process.