Data and Graphs for Year 6 Maths: Interactive Quizzes and Learning

Question 1

You're designing a survey to find out the most popular after-school activity among students in your school. What's the purpose of the survey, who will you ask, and how will you collect the data?

Accepted Answer

Purpose: Find out the most popular after-school activity. Ask: All students in the school. Collect data: Online survey.

Answer

Purpose: Decide which new activity to add. Ask: Students who do after-school activities. Collect data: Paper survey.

Answer

Purpose: Find out how much time students spend on activities. Ask: Parents of students in the school. Collect data: Interviews.

Answer

Purpose: Check how well activities are working. Ask: Teachers who lead activities. Collect data: Observations.

Question 2

The scatter plot shows the relationship between study hours and test scores. What conclusion can you draw from the scatter plot?

Accepted Answer

Students who study more hours tend to score higher on the test.

Answer

Students who study more hours tend to score lower on the test.

Answer

There is no relationship between the number of hours students study and their test scores.

Answer

The scatter plot does not provide enough information to draw any conclusions about the relationship between study hours and test scores.

Question 3

When gathering information, what's a key ethical thing to keep in mind?

Accepted Answer

Making sure the information is correct and complete.

Answer

Getting information from lots of people.

Answer

Only gathering information that supports a certain idea.

Answer

Using information without asking the people involved.

Question 4

Which method of sampling involves choosing members of a population at fixed intervals?

Accepted Answer

Systematic sampling

Answer

Simple random sampling

Answer

Stratified sampling

Answer

Cluster sampling

Question 5

Which graph helps us see how something changes over time?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Pictogram

Answer

Scatter plot

Question 6

Which of these does not measure how spread out the data is?

Accepted Answer

Median

Answer

Range

Answer

Standard Deviation

Answer

Variance

Question 7

Why is it important to choose participants randomly when collecting data? How does this help reduce bias in statistical studies?

Accepted Answer

Random selection gives everyone in the group an equal chance of being chosen.

Answer

Random sampling makes data collection faster.

Answer

Random selection means you don't need a large sample size.

Answer

Random sampling is only needed for big studies.

Question 8

What is the purpose of a bar chart?

Accepted Answer

To show how often different values appear

Answer

To compare data over time

Answer

To show the relationship between two variables

Answer

To predict future trends

Question 9

Which of the following is where you collect your own data?

Accepted Answer

Survey

Answer

Textbook

Answer

Internet

Answer

Encyclopedia

Question 10

What advantage does using a pie chart offer?

Accepted Answer

Easy comparison of different parts

Answer

Showing data over time

Answer

Showing relationships between variables

Answer

Making predictions

Question 11

Which of the following is the best way to collect data for a science experiment?

Accepted Answer

Carry out an experiment

Answer

Ask your friends

Answer

Read a book

Answer

Conduct a survey

Question 12

A scatter plot shows the relationship between the number of hours spent studying and the test scores of a group of students. The scatter plot shows a negative correlation. What does this mean?

Accepted Answer

As the number of hours spent studying increases, the test scores tend to decrease

Answer

As the number of hours spent studying increases, the test scores tend to increase

Answer

As the number of hours spent studying decreases, the test scores tend to increase

Answer

There is no relationship between the number of hours spent studying and the test scores

Question 13

How do you create a bar chart?

Accepted Answer

Draw a horizontal axis for the categories and a vertical axis for the data values.

Answer

Draw a vertical axis for the categories and a horizontal axis for the data values.

Answer

Draw a circle and divide it into sectors proportional to the data values.

Answer

Plot the data values as points on a scatter plot.

Question 14

What is the purpose of a mean?

Accepted Answer

To find the average of a dataset.

Answer

To find the most frequent value in a dataset.

Answer

To find the difference between the highest and lowest values in a dataset.

Answer

To find the proportion of a dataset that falls within a certain range.

Question 15

What is the difference between a population and a sample?

Accepted Answer

A population is a group of all the individuals of interest, while a sample is a subset of the population.

Answer

A population is a subset of the individuals of interest, while a sample is the group of all the individuals of interest.

Answer

A population refers to the variables of interest, while a sample refers to the values of the variables.

Answer

There is no difference between a population and a sample.

Question 16

What is the probability of rolling a 6 on a fair six-sided dice?

Accepted Answer

1 in 6

Answer

1 in 2

Answer

1 in 3

Answer

1 in 4

Question 17

What is the purpose of a stem-and-leaf plot?

Accepted Answer

To show the distribution of data

Answer

To compare two sets of data

Answer

To find the mean of a set of data

Answer

To identify outliers in a set of data

Question 18

What is the difference between a population and a sample?

Accepted Answer

A population is the entire group of individuals being studied, while a sample is a smaller group that represents the population.

Answer

A sample is the entire group of individuals being studied, while a population is a smaller group that represents the sample.

Answer

A population is a group of data, while a sample is a smaller group that represents the population.

Answer

A sample is a group of data, while a population is a smaller group that represents the sample.

Question 19

Which measure of dispersion tells us how much the data is spread out?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Range

Question 20

What do we call a collection of numbers we are studying?

Accepted Answer

Data set

Answer

Numbers

Answer

Words

Answer

Table

Question 21

Which number in the data set: 5, 7, 9, 11, 13 is in the middle?

Accepted Answer

9

Answer

7

Answer

11

Answer

13

Question 22

What's the difference between a piece of data and a group of data?

Accepted Answer

A piece of data is one number, while a group of data is many numbers together.

Answer

A group of data is one number, while a piece of data is many numbers together.

Answer

There is no difference between a piece of data and a group of data.

Answer

A piece of data is a type of graph, while a group of data is a type of chart.

Question 23

What is the aim of a hypothesis?

Accepted Answer

To explain an observation

Answer

To prove a theory

Answer

To gather data

Answer

To make predictions

Question 24

A survey of 100 students' favorite sports showed that 35 liked football, 20 liked basketball, and the rest liked cricket. What percentage of students liked cricket?

Accepted Answer

45%

Answer

35%

Answer

20%

Answer

50%

Question 25

Which of the following is an example of a non-numerical variable?

Accepted Answer

Favorite color

Answer

Height

Answer

Age

Answer

Number of siblings

Question 26

A scientist conducted an experiment to test the effect of different fertilizers on plant growth.

Which of the following is the variable that the scientist is changing in this experiment?

Accepted Answer

Type of fertilizer

Answer

Amount of sunlight

Answer

Height of the plant

Answer

Temperature

Question 27

What is the difference between a mean and a median?

Accepted Answer

The mean is the sum of all values divided by the number of values, while the median is the middle value when the values are arranged in order.

Answer

The mean is the most common value, while the median is the average of all values.

Answer

The mean is a measure of spread, while the median is a measure of central tendency.

Question 28

Which of the following represents a valid data set?

Accepted Answer

{1, 2, 3, 4, 5}

Answer

{1, 2, 3, 4, “5”}

Answer

{1, 2, 3, 4, true}

Question 29

A survey was conducted to find out the favourite colours of 100 students. The results are as follows:
    Blue: 25
    Red: 30
    Green: 20
    Yellow: 15
Which colour is the most popular?

Accepted Answer

Red

Answer

Blue

Answer

Green

Answer

Yellow

Question 30

Which of the following is a measure of dispersion?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 31

Which method is NOT used to collect data?

Accepted Answer

Making guesses

Answer

Surveys

Answer

Interviews

Answer

Experiments

Question 32

What is the term for the value that appears most frequently in a data set?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Range

Question 33

Which method is effective in reducing bias during data collection?

Accepted Answer

Using a random sample

Answer

Asking questions that lead respondents to a specific answer

Answer

Only collecting data from individuals who share the same viewpoint

Answer

Assuming certain conclusions about the data without gathering evidence

Question 34

What is the likelihood of rolling a number greater than 3 on a standard six-sided dice?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 35

Which of the following is a measure of how spread out the data is?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 36

You surveyed students about their favorite after-school activities. Some students picked more than one activity. How should you change how you show the data to account for this?

Accepted Answer

Make a new group for students who picked more than one activity.

Answer

Leave out the data from students who picked more than one activity.

Answer

Don't use the data from activities that more than one student picked.

Question 37

Which of these methods is not used to collect data?

Accepted Answer

Guessing

Answer

Surveys

Answer

Interviews

Answer

Observations

Question 38

What is the best way to organize a large amount of data?

Accepted Answer

In a table

Answer

In a pie chart

Answer

In a poem

Answer

In a messy pile

Question 39

Which type of graph is most suitable for showing changes over time?

Accepted Answer

Line graph

Answer

Bar graph

Answer

Pie chart

Answer

Scatter plot

Question 40

Which of the following is not a type of statistical question?

Accepted Answer

What is my favourite food?

Answer

Is there a relationship?

Answer

What is the pattern?

Answer

What is the highest value?

Question 41

Which of the following is an example of a bias in data collection?

Accepted Answer

Only surveying people who agree with you

Answer

Collecting data from a representative sample

Answer

Using a reliable data collection method

Answer

Keeping a record of all data collected

Question 42

What is the main purpose of using a smaller group to represent a larger one in statistics?

Accepted Answer

To get an approximation of the larger group's data

Answer

To save time and resources

Answer

To eliminate bias from the results

Answer

To simplify the analysis process

Question 43

Which type of data cannot be expressed numerically?

Accepted Answer

Qualitative

Answer

Quantitative

Answer

Ordinal

Answer

Interval

Question 44

In a bar chart, what does each bar represent?

Accepted Answer

A category of data

Answer

A data point

Answer

The frequency of occurrence

Answer

The mean of the data

Question 45

What value appears most frequently in the dataset: 4, 6, 6, 8, 10?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 46

What is the first important step in conducting a statistical investigation?

Accepted Answer

Collecting data

Answer

Analyzing data

Answer

Interpreting results

Answer

Drawing conclusions

Question 47

Which of these is NOT a method of collecting data?

Accepted Answer

Conversation

Answer

Observation

Answer

Interview

Answer

Experiment

Question 48

What does the mean of a data set represent?

Accepted Answer

The sum of all values divided by the number of values

Answer

The most frequently occurring value (mode)

Answer

The highest value in the data set

Answer

The difference between the highest and lowest values

Question 49

What is the difference between a population and a sample?

Accepted Answer

A population is the entire group of interest, while a sample is a smaller group representing the population.

Answer

A sample is the entire group of interest, while a population is a smaller group representing the sample.

Answer

A population is always larger than a sample.

Answer

A sample is always smaller than a population.

Question 50

Which of the following is a good example of a statistical question?

Accepted Answer

Is the average height of boys greater than the average height of girls?

Answer

What is the favourite colour of my friends?

Answer

How many people live in the United Kingdom?

Answer

What is the meaning of life?

Question 51

In a dataset, what value does the median represent?

Accepted Answer

The value in the middle when arranged in order

Answer

The average value

Answer

The value that occurs most frequently

Answer

The total of all values

Question 52

What's a key method to avoid bias when collecting information?

Accepted Answer

Using a random sample.

Answer

Asking questions that lead respondents

Answer

Only collecting data from those who agree with you

Answer

Making assumptions about the data before gathering it

Question 53

A student group recorded the number of pets owned. Here's the data : 0, 1, 2, 2, 3, 4, 5. Determine the mode of this dataset.

Accepted Answer

2

Answer

0

Answer

3

Answer

4

Question 54

A bar chart presents data on students' favorite sports. The bar representing football is 10 cm tall, while the bar for basketball is 5 cm tall. Which sport is preferred?

Accepted Answer

Football

Answer

Basketball

Answer

Can't be determined from the given information

Question 55

What makes a good questionnaire?

Accepted Answer

Clear and unbiased questions

Answer

Questions that suggest the desired answer

Answer

Questions not relevant to the topic

Answer

Long and detailed questions

Question 56

What does a stem-and-leaf plot show?

Accepted Answer

Distribution of data

Answer

Average and middle value of data

Answer

Future data patterns

Answer

Comparisons between data sets

Question 57

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

Accepted Answer

1/6

Answer

1/4

Answer

1/3

Answer

1/5

Question 58

What is the purpose of a confidence interval?

Accepted Answer

To estimate the actual population value with a certain level of confidence.

Answer

To predict future observations.

Answer

To test the idea that the population value is a certain number.

Question 59

In a statistical test, what is the null hypothesis?

Accepted Answer

The idea that there is no link between the variables.

Answer

The idea that the population average is a certain number.

Answer

The idea that there is a link between the variables.

Question 60

A measure of central tendency describes the average or typical value of a set of data. Which of the following is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Median

Answer

Mean

Answer

Mode

Question 61

Identify the qualitative variable from the following options:

Accepted Answer

Eye colour

Answer

Height

Answer

Number of siblings

Answer

Age

Question 62

One limitation of using statistics is that:

Accepted Answer

It can be misleading if the data is not representative of the entire population.

Answer

It can only be used for large data sets.

Answer

It can be time-consuming to collect and analyze data.

Question 63

A frequency distribution that is evenly spread out on either side of the mean is called:

Accepted Answer

Symmetrical

Answer

Skewed

Answer

Bimodal

Answer

Uniform

Question 64

In a survey, 100 students were asked about their favorite sport. 60% of them said they enjoy playing football. How many students do not enjoy playing football?

Accepted Answer

40

Answer

70

Answer

60

Answer

50