Statistics Quizzes for Year 11 Maths Students

Question 1

To effectively communicate the results of your study on the new study method, which approach would be most effective in presenting the findings to your classmates?

Accepted Answer

Combine graphs, charts, and a clear verbal explanation to illustrate the findings in a visually appealing and informative way.

Answer

Present the raw data in a table without further analysis.

Answer

Display graphs and charts without providing context or explanation.

Answer

Provide a verbal summary of the findings, highlighting key takeaways and implications.

Question 2

In probability, what value represents an event that is certain to happen?

Accepted Answer

1

Answer

0

Answer

0.5

Question 3

The Central Limit Theorem is a key concept in statistics. Explain how it allows us to make inferences about a population based on a sample. Give an example to illustrate your explanation.

Accepted Answer

As sample size increases, the distribution of sample means approaches a normal distribution, regardless of the shape of the original population distribution.

Answer

The mean of any sample taken from a population will always be identical to the population mean.

Answer

The Central Limit Theorem is only applicable to populations that follow a normal distribution.

Answer

The Central Limit Theorem cannot be used to draw inferences about the median of a population.

Question 4

What is the ethical principle that requires individuals to be fully informed about how their data will be used before it is collected?

Accepted Answer

Informed consent

Answer

Data privacy

Answer

Data security

Answer

Data anonymization

Question 5

What is the key difference between descriptive and inferential statistics? Explain their distinct purposes and any limitations.

Accepted Answer

Descriptive statistics summarize the data, while inferential statistics make inferences about the population from the sample.

Answer

Both descriptive and inferential statistics can make inferences about the population.

Answer

Inferential statistics are always more accurate than descriptive statistics.

Answer

Descriptive statistics are only for small datasets, while inferential statistics are for large datasets.

Question 6

In statistical analysis, which of these methods is NOT used to manage missing data?

Accepted Answer

Data interpolation

Answer

Imputation

Answer

Deletion

Answer

Inverse probability weighting

Question 7

Which type of graph is best for showing how stock prices change over time?

Accepted Answer

Line graph

Answer

Bar graph

Answer

Scatter graph

Question 8

Which statement BEST describes non-parametric tests?

Accepted Answer

They don't assume a specific data distribution.

Answer

They are used when data follows a normal distribution.

Answer

They are always more powerful than parametric tests.

Answer

They can only be used to test means.

Question 9

When analyzing a dataset, you notice a data point that stands out significantly from the rest. Which action should you take regarding this data point?

Accepted Answer

Remove the outlier from the dataset and recalculate the statistical measures.

Answer

Include the outlier in the analysis without any changes.

Answer

Adjust the outlier to a more typical value and include it in the analysis.

Answer

Ignore the outlier and continue the analysis as if it were not there.

Question 10

In data collection and analysis, which practice is unethical?

Accepted Answer

Using data for personal gain without considering ethics

Answer

Getting consent from participants before gathering data

Answer

Keeping sensitive information private and confidential

Answer

Storing data securely to prevent unauthorized access

Question 11

Which of the following is an unethical practice in statistical research?

Accepted Answer

Altering data to support predetermined outcomes

Answer

Obtaining informed consent from participants

Answer

Protecting the privacy and confidentiality of participants

Answer

Using appropriate statistical techniques for data analysis

Question 12

Which step is NOT part of conducting a meta-analysis?

Accepted Answer

Gathering new data

Answer

Creating a research question

Answer

Choosing relevant studies

Answer

Examining the data

Question 13

Measures of central tendency include all of the following except:

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 14

A data set has a mean of 10 and a standard deviation of 2. What is the z-score for a value of 12?

Accepted Answer

1

Answer

2

Answer

10

Answer

12

Question 15

Which type of graph is most suitable for representing data that changes over time?

Accepted Answer

Line graph

Answer

Scatter plot

Answer

Histogram

Answer

Pie chart

Question 16

A correlation coefficient of -0.9 indicates:

Accepted Answer

Strong negative correlation

Answer

Strong positive correlation

Answer

Weak positive correlation

Answer

Weak negative correlation

Question 17

Which of the following is an example of a discrete random variable?

Accepted Answer

Number of students in a class

Answer

Height of a person

Answer

Time taken to complete a task

Answer

Temperature of a room

Question 18

Which sampling method gives every individual an equal chance of being selected?

Accepted Answer

Random sampling

Answer

Stratified sampling

Answer

Cluster sampling

Answer

Systematic sampling

Question 19

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

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 20

What is the probability of rolling a 6 on a standard six-sided die?

Accepted Answer

1/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 21

A scatterplot shows a positive correlation between variables X and Y. What does this indicate?

Accepted Answer

As variable X increases, variable Y also increases.

Answer

As variable X increases, variable Y decreases.

Answer

There is no relationship between variables X and Y.

Answer

Variables X and Y are negatively correlated.

Question 22

A company wants to estimate the average height of its employees. Which of the following would be the most appropriate measure of central tendency to use?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 23

A histogram is a graphical representation of:

Accepted Answer

Frequency distribution

Answer

Probability distribution

Answer

Cumulative frequency distribution

Answer

Percentile distribution

Question 24

Which of the following measures represents the central tendency of a data set?

Accepted Answer

Mean

Answer

Standard deviation

Answer

Range

Answer

Variance

Question 25

Which sampling method is most likely to result in a non-representative sample?

Accepted Answer

Convenience sampling

Answer

Simple random sampling

Answer

Systematic sampling

Answer

Stratified sampling

Question 26

Calculate the interquartile range (IQR) of the data set: 4, 6, 8, 10, 12, 14, 16

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 27

Which statistical graph is suitable for displaying the distribution of qualitative data?

Accepted Answer

Pie chart

Answer

Bar chart

Answer

Histogram

Answer

Scatterplot

Question 28

Identify the mode of the data set: 2, 4, 6, 8, 8, 10, 12

Accepted Answer

8

Answer

2

Answer

10

Answer

12

Question 29

Which correlation coefficient value indicates a weak positive correlation between two variables?

Accepted Answer

0.4

Answer

-0.2

Answer

0.8

Answer

1

Question 30

Which of the following is a measure of the typical or central value of a dataset?

Accepted Answer

Mean

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 31

What is the distinction between a population and a sample?

Accepted Answer

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

Answer

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

Answer

There is no difference between a population and a sample.

Answer

A population is always larger than a sample.

Question 32

A dataset has a lower quartile of £2,000 and an upper quartile of £3,000. What is the interquartile range of the dataset?

Accepted Answer

£1,000

Answer

£500

Answer

£2,000

Answer

Cannot be determined from the given information

Question 33

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

Accepted Answer

Variance

Answer

Mean

Answer

Median

Answer

Mode

Question 34

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

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 35

Which type of graph is most suitable for displaying the distribution of categorical data?

Accepted Answer

Bar chart

Answer

Histogram

Answer

Line graph

Answer

Scatter plot

Question 36

Which of the following is a characteristic of a normal distribution?

Accepted Answer

Symmetrical and bell-shaped

Answer

Skewed to only one side

Answer

Flat and uniform

Answer

Random and irregular

Question 37

What is the mean of a normal distribution with a mean of 50 and a standard deviation of 10?

Accepted Answer

50

Answer

40

Answer

60

Answer

70

Question 38

Which of the following is a statistical hypothesis that claims no difference or association exists between two variables or groups?

Accepted Answer

Null hypothesis

Answer

Alternative hypothesis

Answer

Research hypothesis

Answer

Statistical significance

Question 39

In a hypothesis test, what is the null hypothesis typically denoted as?

Accepted Answer

H0

Answer

H1

Answer

H2

Answer

H3

Question 40

Which of the following is not considered a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 41

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

Accepted Answer

1/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 42

The interquartile range of a data set represents:

Accepted Answer

The difference between the upper quartile and the lower quartile

Answer

The difference between the median and the mean

Answer

The difference between the maximum and minimum values

Answer

The difference between the mean and the standard deviation

Question 43

A correlation coefficient of -0.8 indicates:

Accepted Answer

A strong negative correlation

Answer

A strong positive correlation

Answer

A weak positive correlation

Answer

A weak negative correlation

Question 44

Which of the following measures the spread or variability of data?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Probability

Answer

Correlation

Question 45

A box-and-whisker plot is also known as a:

Accepted Answer

Box plot

Answer

Bar chart

Answer

Pie chart

Answer

Scatterplot

Question 46

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

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 47

Which of the following is the best measure of spread for a skewed distribution?

Accepted Answer

Interquartile range

Answer

Range

Answer

Standard deviation

Answer

Variance

Question 48

Which of the following is a type of statistical analysis that involves testing hypotheses and making inferences?

Accepted Answer

Inferential statistics

Answer

Descriptive statistics

Answer

Regression analysis

Answer

Time series analysis

Question 49

Which of the following is a non-probability sampling technique where researchers select participants based on their knowledge or convenience?

Accepted Answer

Quota sampling

Answer

Simple random sampling

Answer

Stratified sampling

Answer

Cluster sampling

Question 50

A set of data has the following values: 6, 8, 10, 10, 12. Which of the following is the median?

Accepted Answer

10

Answer

8

Answer

9

Answer

11

Question 51

Which of the following is a measure of central tendency that is affected by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 52

Which of the following is **not** a measure of central tendency?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 53

Which of the following scatter plots shows a **positive** correlation?

Accepted Answer

Image of a scatter plot with points sloping upwards

Answer

Image of a scatter plot with points sloping downwards

Answer

Image of a scatter plot with points randomly scattered

Answer

Image of a scatter plot with a horizontal line

Question 54

Which of the following statements about the range of a data set is **correct**?

Accepted Answer

It is the difference between the maximum and minimum values.

Answer

It is always a negative value.

Answer

It is more affected by outliers than the mean.

Answer

It is a measure of central tendency.

Question 55

Which of the following statistical techniques is used to **summarize** and describe a data set?

Accepted Answer

Descriptive statistics

Answer

Inferential statistics

Answer

Regression analysis

Answer

Multivariate analysis

Question 56

Which of the following is the formula for calculating the variance of a data set?

Accepted Answer

Sum of squared deviations from mean divided by number of values

Answer

Difference of maximum and minimum values

Answer

Sum of values divided by number of values

Answer

Median of all values

Question 57

A survey of 120 students found that 72 prefer history over geography. What is the proportion of students who prefer history?

Accepted Answer

0.4

Answer

0.3

Answer

0.5

Answer

0.6

Question 58

Which of the following is the most appropriate type of graph to display the relationship between two numerical variables?

Accepted Answer

Scatter plot

Answer

Bar chart

Answer

Pie chart

Answer

Histogram

Question 59

A bag contains 4 red marbles, 3 blue marbles, and 2 green marbles. What is the probability of drawing a marble that is not red?

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 60

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

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 61

Which of the following is the correct formula for calculating the mean of a data set?

Accepted Answer

Mean = Sum of all values / Number of values

Answer

Mean = Median + Mode

Answer

Mean = Range / 2

Answer

Mean = Standard deviation / Variance

Question 62

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 sample is the entire group of interest, while a population is a subset of the sample.

Answer

A population is the average value of a data set, while a sample is the standard deviation.

Answer

A sample is the range of a data set, while a population is the variance.

Question 63

Which of the following is the most appropriate statistical measure to describe the spread of a data set?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 64

What is the purpose of a hypothesis test?

Accepted Answer

To determine whether there is a significant difference between two or more groups.

Answer

To predict the future outcome of an event.

Answer

To calculate the probability of a specific event occurring.

Answer

To summarize the main findings of a research study.