Statistics for Year 8 Maths: Interactive Quizzes and Practice

Question 1

A survey collected data on the number of hours spent on social media per day. Which graph would best show the distribution of this data?

Accepted Answer

Histogram

Answer

Bar graph

Answer

Pie chart

Question 2

What does it mean for a result to be statistically significant?

Accepted Answer

It is unlikely to have happened by chance.

Answer

It is very different from what you expected.

Answer

It can be applied to the entire population.

Answer

It is both meaningful and impactful.

Question 3

What is a key benefit of using statistical software?

Accepted Answer

It can handle large datasets efficiently.

Answer

It eliminates the need for statistical formulas.

Answer

It is limited to basic statistical analyses.

Answer

It is always more accurate than manual calculations.

Question 4

What is the main purpose of using confidence intervals in statistics?

Accepted Answer

To estimate the range of possible values for the true population parameter

Answer

To give an exact value for the true population parameter

Answer

To calculate the probability of a specific outcome happening

Question 5

A company has 500 employees and wants to estimate the average age of its employees. Describe a sampling method that you would recommend to obtain a representative sample of 100 employees.

Accepted Answer

Randomly select 100 employees from the company directory without replacement.

Answer

Select every 5th employee from the company directory.

Answer

Ask for volunteers from the employees.

Answer

Select employees from each department based on their proportion in the company.

Question 6

A researcher wants to test the hypothesis that a new drug reduces the risk of a certain disease. Describe the steps involved in conducting a statistical hypothesis test.

Accepted Answer

1. Formulate hypotheses, 2. Collect data, 3. Conduct statistical test, 4. Interpret results, 5. Draw conclusions

Answer

1. Collect data, 2. Formulate hypotheses, 3. Interpret results, 4. Conduct statistical test, 5. Draw conclusions

Answer

1. Draw conclusions, 2. Formulate hypotheses, 3. Collect data, 4. Conduct statistical test, 5. Interpret results

Answer

1. Formulate hypotheses, 2. Interpret results, 3. Collect data, 4. Conduct statistical test, 5. Draw conclusions

Question 7

Which of the following measures of central tendency is most easily affected by extreme values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 8

A dataset has the following values: 5, 7, 9, 11, 13. What is the range of the dataset?

Accepted Answer

6

Answer

4

Answer

8

Question 9

In a dataset arranged in ascending order, which statistical measure represents the value that appears in the middle?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 10

What is a limitation of representing data using a pie chart?

Accepted Answer

It can be misleading if the data is not in proportion.

Answer

It can be difficult to compare slices.

Answer

It cannot show negative values.

Question 11

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

Accepted Answer

Diagnostic

Answer

Descriptive

Answer

Inferential

Answer

Predictive

Question 12

Which of the following best describes the definition of statistics?

Accepted Answer

The science of collecting and analysing data to draw conclusions

Answer

The study of numbers and their relationships

Answer

The art of making predictions

Answer

The process of making decisions

Question 13

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

Accepted Answer

Variance

Answer

Mean

Answer

Median

Answer

Mode

Question 14

What is the main difference between the mean and median of a group of numbers?

Accepted Answer

The mean is the average of the numbers, while the median is the middle number when arranged in numerical order.

Answer

The median is the average of the numbers, while the mean is the middle number when arranged in numerical order.

Answer

The mean is the sum of the numbers, while the median is the middle number when arranged in numerical order.

Answer

The median is the sum of the numbers, while the mean is the middle number when arranged in numerical order.

Question 15

Which of the following graphs is most suitable for representing a frequency distribution?

Accepted Answer

Histogram

Answer

Pie chart

Answer

Bar chart

Answer

Scatter plot

Question 16

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

Accepted Answer

To show the distribution of data

Answer

To identify outliers

Answer

To calculate measures of central tendency

Answer

To represent categorical data

Question 17

A researcher wants to investigate the relationship between height and weight. Which of the following is the most appropriate type of graph to use?

Accepted Answer

Scatter plot

Answer

Bar chart

Answer

Pie chart

Answer

Line graph

Question 18

Which of the following data sets has the greatest range?

Accepted Answer

5, 10, 15, 20

Answer

2, 4, 6, 8

Answer

3, 6, 9, 12

Answer

4, 8, 12, 16

Question 19

Which of the following is a qualitative data type?

Accepted Answer

Favourite colour

Answer

Age

Answer

Height

Answer

Number of siblings

Question 20

Which of the following is an appropriate way to display a data set with a large range?

Accepted Answer

Histogram

Answer

Bar chart

Answer

Pie chart

Answer

Scatter plot

Question 21

A data set has the values: 2, 5, 7, 9, 11. What is the spread of this data set?

Accepted Answer

4

Answer

2

Answer

9

Answer

11

Question 22

Which measure of central tendency is most suitable for data that contains extreme values?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 23

Which data set shows the greatest variation?

Accepted Answer

2, 4, 8, 16, 32

Answer

5, 5, 5, 5, 5

Answer

3, 6, 9, 12, 15

Answer

10, 15, 20, 25, 30

Question 24

If a scatter plot shows a positive correlation, what is the relationship between the variables?

Accepted Answer

As one variable increases, the other also increases

Answer

As one variable increases, the other decreases

Answer

There is no relationship between the variables

Answer

The variables are inversely proportional

Question 25

Which statistical measure represents the typical value in a data set?

Accepted Answer

Mean

Answer

Standard deviation

Answer

Variance

Answer

Range

Question 26

Which measure of central tendency is most reliable for skewed data, where the values are not evenly spread out?

Accepted Answer

Median

Answer

Mean

Answer

Range

Answer

Mode

Question 27

Which data representation method is best for showing continuous data (data that can take any value, not just whole numbers)?

Accepted Answer

Histogram

Answer

Dot plot

Answer

Stem-and-leaf plot

Answer

Box plot

Question 28

What is the main reason for dividing a data set into four equal parts using quartiles?

Accepted Answer

To identify outliers

Answer

To find the mean

Answer

To find the median

Answer

To calculate the range

Question 29

Which of the following measures does NOT represent the center of a data set?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 30

Which of the following data sets has the largest range?

Accepted Answer

{0, 2, 4, 6, 8, 10, 12}

Answer

{3, 5, 7, 9}

Answer

{2, 4, 6, 8, 10}

Answer

{1, 3, 5, 7, 9, 11}

Question 31

Which of the following measures represents the value that occurs most frequently in a dataset?

Accepted Answer

Mode

Answer

Mean

Answer

Median

Answer

Range

Question 32

In a dataset of {1, 2, 3, 3, 5, 7}, what is the mode?

Accepted Answer

3

Answer

1

Answer

2

Answer

5

Question 33

Which of the following represents the difference between the highest and lowest values in a dataset?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 34

What is a confidence interval and how is it used?

Accepted Answer

A confidence interval is a range of values that is likely to contain the true value of a population parameter, with a set level of confidence.

Answer

A confidence interval is a single value that best represents the population parameter.

Answer

A confidence interval is a measure of the spread of data within a population.

Answer

A confidence interval is used to test the significance of a statistical hypothesis.

Question 35

What's the key difference between a categorical variable and a numerical variable?

Accepted Answer

Categorical variables describe categories, while numerical variables describe measurable amounts.

Answer

Numerical variables only take on whole numbers, while categorical variables can take on both whole and decimal numbers.

Answer

Categorical variables are always shown as words, while numerical variables are always shown as numbers.

Answer

Numerical variables are used to measure central tendency, while categorical variables are used to measure spread.

Question 36

Which measure of central tendency is most easily affected by outliers, values that are very different from the rest of the data?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 37

The range of a data set is the difference between the highest and lowest values. If the range is 12, what is the difference between the highest and lowest values in the data set?

Accepted Answer

12

Answer

6

Answer

24

Answer

36

Question 38

Which of the following is a type of display that is NOT used to represent data graphically?

Accepted Answer

Sequence

Answer

Bar chart

Answer

Histogram

Answer

Scatterplot

Question 39

A survey of 100 students showed that 60% of them like math. How many students like math?

Accepted Answer

60

Answer

40

Answer

100

Answer

50

Question 40

A company is investigating the relationship between employee satisfaction and productivity. What type of graph would be most useful for displaying this relationship?

Accepted Answer

Scatterplot

Answer

Bar chart

Answer

Histogram

Answer

Pie chart

Question 41

Which measure of central tendency is most easily affected by extreme values (outliers)?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 42

Which of the following is NOT a measure of spread?

Accepted Answer

Median

Answer

Range

Answer

Interquartile range

Question 43

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

Accepted Answer

As the value of one variable increases, the value of the other variable also tends to increase.

Answer

As the value of one variable increases, the value of the other variable tends to decrease.

Answer

There is no relationship between the two variables.

Question 44

A survey asked students to rate their happiness on a scale of 1 to 10. The calculated mean rating was 7.5. What does this imply?

Accepted Answer

On average, students rated their happiness as 7.5.

Answer

Most students rated their happiness as exactly 7.5.

Answer

Half of the students rated their happiness higher than 7.5.

Question 45

What does statistical significance tell us about the likelihood of a result occurring by chance?

Accepted Answer

It tells us how likely it is that the result happened by chance.

Answer

It tells us how important the result is.

Answer

It tells us how likely it is that the result is wrong.

Question 46

What's the main reason we use hypothesis testing?

Accepted Answer

To see if we have enough evidence to reject a hypothesis.

Answer

To prove a hypothesis is right.

Answer

To work out how likely it is that a hypothesis is correct.

Question 47

What does a correlation coefficient of 0.8 indicate?

Accepted Answer

A strong positive relationship between two variables

Answer

A moderate negative relationship between two variables.

Question 48

Which sampling method is most likely to result in a biased sample?

Accepted Answer

Convenience sampling

Answer

Stratified sampling

Answer

Cluster sampling

Answer

Random sampling

Question 49

A researcher wants to find the average height of all students in a school. They measure the height of 100 students and calculate an average height of 160 cm. What is the population in this study?

Accepted Answer

All students in the school

Answer

The 100 students measured

Answer

The school building

Answer

The researcher

Question 50

What is a potential limitation of relying on statistical software?

Accepted Answer

Over-reliance on statistical techniques without proper understanding

Answer

Difficulty in interpreting results

Answer

Cost of purchase and use.

Question 51

A company wants to test the effectiveness of a new advertising campaign. They randomly assign half of their customers to receive the new campaign and the other half to receive the old campaign. Which statistical test is most appropriate to determine if the new campaign is more effective?

Accepted Answer

Two-sample t-test

Answer

Correlation analysis

Answer

Chi-square test

Answer

ANOVA

Question 52

Which of the following is not considered appropriate in the data collection process?

Accepted Answer

Making assumptions without data

Answer

Gathering the data

Answer

Selecting a sampling method

Answer

Defining the research question

Question 53

The range of a dataset is calculated as the difference between its:

Accepted Answer

Maximum and minimum values

Answer

Median and mode

Answer

Mean and median

Answer

Mode and maximum value

Question 54

What is a potential limitation of using mean as a measure of central tendency?

Accepted Answer

Its sensitivity to outliers

Answer

Universal recognition

Answer

Ease of calculation

Question 55

Approximately what percentage of data falls within one standard deviation of the mean in a normal distribution?

Accepted Answer

68%

Answer

50%

Answer

80%

Answer

95%

Question 56

A researcher aims to determine the average height of students in a school. Which sampling method is most appropriate?

Accepted Answer

Random sampling

Answer

Quota sampling

Answer

Convenience sampling

Answer

Snowball sampling

Question 57

Which of the following can potentially introduce errors in statistical analysis?

Accepted Answer

Sampling bias

Answer

Reliable datasets

Answer

Confirmatory analysis

Answer

Mathematical calculations

Question 58

The median of a dataset is 8. This implies that:

Accepted Answer

Half of the data values are below 8, and the other half are above 8.

Answer

The sum of all data values equals 8.

Answer

There are twice as many values below 8 as above 8.

Question 59

Which of the following measures of central tendency is most affected by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 60

Which of the following graphs is most appropriate for displaying a frequency distribution?

Accepted Answer

Histogram

Answer

Bar chart

Answer

Scatter plot

Answer

Pie chart

Question 61

The following data set represents the heights (in cm) of a group of students: 150, 165, 170, 175, 180, 185, 190. What is the mode of this data set?

Accepted Answer

180

Answer

190

Answer

150

Answer

175

Question 62

Which of the following is NOT a step in the statistical inquiry process?

Accepted Answer

Drawing conclusions before collecting data

Answer

Collecting data

Answer

Formulating a question

Answer

Analyzing data

Question 63

Which measure of central tendency is calculated by summing all the data values and dividing by the number of values?

Accepted Answer

Mean

Answer

Median

Answer

Range

Answer

Mode

Question 64

What is the middle value when a set of data is arranged from smallest to largest?

Accepted Answer

Median

Answer

Range

Answer

Mean

Answer

Mode