Statistics for Year 7 Maths: Quizzes and Learning Resources

Question 1

A bag contains 5 red marbles, 3 blue marbles, and 2 green marbles. What is the chance of randomly picking a green marble?

Accepted Answer

1/5

Answer

1/2

Answer

1/10

Answer

1/3

Question 2

In statistical research, it's important to consider ethical issues like informed consent, privacy, and bias. How can these guidelines affect how we gather and analyze data?

Accepted Answer

Researchers should be aware of possible bias in their data and try to reduce it.

Answer

Ethical guidelines don't affect data collection and analysis.

Answer

Informed consent isn't needed for data from public sources.

Answer

Privacy concerns don't matter in statistical research if the data is anonymous.

Question 3

What is a potential drawback of using quota sampling?

Accepted Answer

It can lead to biased results because it doesn't choose participants randomly.

Answer

It makes sure all groups are represented fairly.

Answer

It's a fast and cheap way to gather data.

Question 4

What is the key difference between parametric and non-parametric statistical tests?

Accepted Answer

Parametric tests assume the data is normally distributed.

Answer

Non-parametric tests are always more powerful than parametric tests.

Answer

Parametric tests can only be used with large datasets, while non-parametric tests can only be used with small datasets.

Answer

Non-parametric tests are always easier to interpret than parametric tests.

Question 5

When gathering personal details like age, income, or health habits, what's crucial to remember?

Accepted Answer

Asking for permission and explaining how their information will be used.

Answer

Keeping the information anonymous.

Answer

Collecting as much information as possible, even if it's not relevant.

Question 6

Which of these tools is best for analyzing and showing large amounts of data in statistics?

Accepted Answer

Spreadsheet software like Microsoft Excel or Google Sheets

Answer

Word processing software like Microsoft Word

Answer

Presentation software like PowerPoint

Answer

Web browsing software like Google Chrome

Question 7

Which chart is best for displaying how something changes over time?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Pie chart

Answer

Scatterplot

Question 8

Question: Which of the following best explains the term 'bias' in data collection?

Accepted Answer

B. An error that can impact data accuracy and lead to incorrect conclusions.

Answer

A. Data is organized in a specific way.

Answer

C. A measure of how data differs from the average.

Question 9

What does the range of a dataset represent?

Accepted Answer

The difference between the greatest and lowest values.

Answer

The average value of the dataset.

Answer

The number of data points in the dataset.

Answer

The median value of the dataset.

Question 10

What is the primary purpose of creating a scatter plot?

Accepted Answer

To illustrate the relationship between two variables.

Answer

To display the distribution of a single variable.

Answer

To compare two separate datasets.

Answer

To visualize a statistical model.

Question 11

What is the main purpose of random sampling?

Accepted Answer

To obtain a sample that fairly represents the population.

Answer

To select the most extreme values from the population.

Answer

To collect data as swiftly as possible.

Answer

To skew the results of the study.

Question 12

Which of these is **not** a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 13

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

Accepted Answer

The difference between the highest and lowest values

Answer

The mean of the data set

Answer

The median of the data set

Answer

The mode of the data set

Question 14

What is the main purpose of a histogram?

Accepted Answer

To show the distribution of data

Answer

To compare two or more data sets

Answer

To find the mean of a data set

Answer

To find the median of a data set

Question 15

A scatter plot is used to show the relationship between two sets of data.

Accepted Answer

True

Answer

False

Question 16

What is the term for a data point that is noticeably different from the rest of the data?

Accepted Answer

Outlier

Answer

Common value

Answer

Missing value

Answer

Incorrect value

Question 17

Which of these is an example of a qualitative variable?

Accepted Answer

Gender

Answer

Height

Answer

Age

Answer

Weight

Question 18

What is the initial step in the process of investigating data?

Accepted Answer

Collecting data

Answer

Organizing data

Answer

Interpreting data

Answer

Drawing conclusions

Question 19

A bar chart is used to show:

Accepted Answer

How two or more groups compare on a single variable

Answer

The distribution of data over time

Answer

The relationship between two variables

Answer

The frequency of different values in a data set

Question 20

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

Accepted Answer

Occupation

Answer

Age

Answer

Height

Answer

Income

Question 21

The probability of rolling a 6 on a standard six-sided die is:

Accepted Answer

1 in 6

Answer

1 in 3

Answer

1 in 4

Answer

1 in 5

Question 22

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

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Range

Question 23

Which of the following is NOT a measure of the middle of a dataset?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 24

A data set has the following values: 2, 4, 6, 8, 10. What is the middle value?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 25

A survey found that 60% of students in a school like maths. If there are 800 students in the school, how many students like maths?

Accepted Answer

480

Answer

520

Answer

560

Answer

600

Question 26

What is the difference between a complete set of data and a subset of data?

Accepted Answer

A complete set of data includes all the data, a subset includes some

Answer

A complete set of data is larger than a subset

Answer

A subset of data is larger than a complete set of data

Answer

A subset of data includes all the data, a complete set includes some

Question 27

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 28

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

Accepted Answer

Gender

Answer

Height

Answer

Age

Answer

Weight

Question 29

What is an advantage of using non-parametric statistical tests?

Accepted Answer

They do not assume the data follows a normal distribution.

Answer

They are easier to interpret than parametric tests.

Answer

They can be used with large sample sizes only.

Answer

They are less sensitive to outliers.

Question 30

How can we use data from a small group to make predictions about a larger group?

Accepted Answer

By assuming the larger group is similar to the small group.

Answer

By using complex math to calculate exact values.

Answer

By guessing and hoping for the best.

Answer

By ignoring the data and relying on our feelings.

Question 31

Which of the following is NOT a type of data?

Accepted Answer

Subjective

Answer

Numerical

Answer

Categorical

Answer

Temporal

Question 32

What is the primary purpose of a bar chart?

Accepted Answer

To compare data between different categories

Answer

To show the distribution of data

Answer

To show the relationship between two variables

Answer

To show the frequency of data

Question 33

How does a sample differ from a population?

Accepted Answer

A sample is a smaller subset of a larger population.

Answer

A population is a smaller subset of a larger sample.

Answer

A sample and a population are the same thing.

Answer

A sample is larger than a population.

Question 34

Calculate the range of the following data set: 5, 10, 15, 20, 25.

Accepted Answer

20

Answer

5

Answer

10

Answer

15

Question 35

What is the main purpose of a histogram?

Accepted Answer

To show the distribution of continuous data

Answer

To compare data between different categories

Answer

To show the relationship between two variables

Answer

To show the frequency of data

Question 36

Which of the following is NOT a way to present data?

Accepted Answer

Interviews

Answer

Charts

Answer

Graphs

Answer

Tables

Question 37

Find the mean of the following data set: 5, 10, 15, 20, 25.

Accepted Answer

15

Answer

10

Answer

20

Answer

25

Question 38

Which of the following is NOT a type of data?

Accepted Answer

Narrative

Answer

Numerical

Answer

Categorical

Answer

Qualitative

Question 39

A bar chart is used to represent:

Accepted Answer

Categorical data

Answer

Continuous data

Answer

Discrete data

Answer

Percentage data

Question 40

A stem-and-leaf plot is a graphical representation of:

Accepted Answer

Frequency distribution

Answer

Cumulative frequency

Answer

Percentile distribution

Answer

Measures of spread

Question 41

A scatter plot shows the relationship between:

Accepted Answer

Two numerical variables

Answer

One numerical and one categorical variable

Answer

Two categorical variables

Answer

Frequency and data values

Question 42

The interquartile range (IQR) is a measure of:

Accepted Answer

Spread

Answer

Central tendency

Answer

Shape

Answer

Correlation

Question 43

A cumulative frequency graph shows:

Accepted Answer

The total number of data points that are less than or equal to a given value

Answer

The frequency of each data point

Answer

The difference between the maximum and minimum values

Answer

The mean of the data set

Question 44

A histogram is used to represent:

Accepted Answer

Grouped data with equal intervals

Answer

Continuous data

Answer

Discrete data

Answer

Categorical data

Question 45

What type of chart is most suitable for showing the spread of data?

Accepted Answer

Histogram

Answer

Bar chart

Answer

Scatterplot

Answer

Pie chart

Question 46

Which measure of central tendency represents the average of all data values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 47

What does a histogram show?

Accepted Answer

How data is spread out

Answer

How two things are related

Answer

How often different things happen

Answer

The mean and median of a dataset

Question 48

Which of these is **not** a way to collect data?

Accepted Answer

Making assumptions

Answer

Experiments

Answer

Surveys

Answer

Interviews

Question 49

What's the main purpose of a frequency table?

Accepted Answer

To organize data into groups

Answer

To show the relationship between two variables

Answer

To predict future events

Answer

To calculate the average

Question 50

What is the probability of rolling an even number on a standard six-sided die?

Accepted Answer

1/2

Answer

1/6

Answer

1/3

Answer

1/4

Question 51

Which of the following is an example of a random sample?

Accepted Answer

Selecting every 5th name from a phone book.

Answer

Surveying all students in a particular grade.

Answer

Surveying students who volunteer to participate.

Answer

Surveying students who are selected by the teacher.

Question 52

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 subset of the population.

Answer

A population is always larger than a sample.

Answer

A sample is always representative of the population.

Question 53

What is the purpose of a confidence interval?

Accepted Answer

To provide a range of values that is likely to contain the true population parameter.

Answer

To provide a single value that is an estimate of the true population parameter.

Answer

To test hypotheses about the population parameter.

Question 54

What is the null hypothesis in a hypothesis test?

Accepted Answer

The hypothesis that there is no difference between the groups being compared.

Answer

The hypothesis that the sample is representative of the population.

Answer

The hypothesis that there is a difference between the groups being compared.

Question 55

Which of the following is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Median

Answer

Mode

Answer

Mean

Question 56

Graphs help us visualize data patterns. Which type of graph is most appropriate for displaying the distribution of a data set?

Accepted Answer

Histogram

Answer

Line graph

Answer

Pie chart

Answer

Scatter plot

Question 57

Stem-and-leaf plots provide a visual representation of data. What is the primary purpose of a stem-and-leaf plot?

Accepted Answer

To display the distribution of data and identify outliers.

Answer

To calculate the mean of a data set

Answer

To compare two data sets

Question 58

Measures of variability describe how spread out a data set is. Which measure takes into account all data values?

Accepted Answer

Standard deviation

Answer

Range

Answer

Variance

Answer

Interquartile range

Question 59

Correlation measures the strength and direction of a linear relationship between two variables. What is a significant limitation of correlation?

Accepted Answer

It does not imply causation.

Answer

It can only be used with quantitative data.

Answer

It is always positive.

Answer

It is only used to compare two variables.

Question 60

Probability distributions are mathematical models that describe the likelihood of different outcomes. Which distribution is commonly used to model continuous data?

Accepted Answer

Normal distribution

Answer

Uniform distribution

Answer

Binomial distribution

Answer

Poisson distribution

Question 61

Rolling a die is an experiment with equally likely outcomes. What is the probability of rolling a 6 on a standard six-sided die?

Accepted Answer

1/6

Answer

1/3

Answer

1/4

Answer

1/5

Question 62

Which of the following is a measure of the typical value of a data set?

Accepted Answer

Mean

Answer

Variance

Answer

Range

Question 63

Which of the following describes how spread out a data set is?

Accepted Answer

Standard deviation

Answer

Median

Answer

Mode

Answer

Mean

Question 64

Which number appears most frequently in the data set: 3, 5, 7, 7, 9, 11?

Accepted Answer

7

Answer

9

Answer

5

Answer

11