Statistics for Year 7 Maths: Interactive Quizzes and Learning

Question 1

Which graph is best for showing a lot of continuous data?

Accepted Answer

C. Histogram

Answer

A. Bar chart

Answer

B. Pie chart

Answer

D. Scatter plot

Question 2

In a scatter plot, when there is a strong correlation, how do the data points appear?

Accepted Answer

Forming a straight line that slopes up from left to right

Answer

Forming a straight line that slopes down from left to right

Answer

Scattered randomly across the graph

Answer

Forming a circle or ellipse

Question 3

Which of the following is a key feature of qualitative data?

Accepted Answer

It consists of words, descriptions, or categories.

Answer

It involves numerical values that can be measured and analyzed mathematically.

Answer

It can be easily represented in graphs and charts.

Answer

It is the most prevalent type of data used in statistical analysis.

Question 4

What does the confidence interval calculated in the question tell us?

Accepted Answer

We are 95% confident that the true mean height of all students in the school is within the interval.

Answer

We are 100% certain that the true mean height is within the interval.

Answer

The interval gives us the exact value of the true mean height.

Answer

We can be sure that the true mean height is outside the interval.

Question 5

A survey claims that 80% of people prefer brand A over brand B. What are three potential sources of bias in this survey, and how can you minimize their impact?

Accepted Answer

The survey only included people who had already purchased brand A.

Accepted Answer

The survey was conducted online, which means that only people with internet access could participate.

Accepted Answer

The survey questions were leading and biased towards brand A.

Question 6

Which type of graph shows the spread of data?

Accepted Answer

Histogram

Answer

Bar chart

Answer

Line graph

Answer

Pie chart

Question 7

Which of these is a way to measure how spread out data is?

Accepted Answer

Range

Answer

Median

Answer

Mode

Answer

Mean

Question 8

What's the difference between a statistic and a parameter?

Accepted Answer

A statistic is a value calculated from a sample, while a parameter is a value calculated from a population.

Answer

A statistic is a value calculated from a population, while a parameter is a value calculated from a sample.

Answer

There is no difference between a statistic and a parameter.

Answer

A parameter is a value calculated from a sample, while a statistic is a value calculated from a population.

Question 9

What is the most common value in a set of data called?

Accepted Answer

The mode

Answer

The mean

Answer

The median

Answer

The range

Question 10

Which of these measures how spread out data is?

Accepted Answer

The range

Answer

The mean

Answer

The median

Answer

The mode

Question 11

Which of these is not a type of probability?

Accepted Answer

How likely something is to happen based on what people think

Answer

How likely something is to happen based on a theory

Answer

How likely something is to happen based on past events

Answer

How likely something is to happen based on an experiment

Question 12

What is the difference between a population and a sample?

Accepted Answer

A population is the whole group, while a sample is a part of the group

Answer

A population is always smaller than a sample

Answer

A sample is always smaller than a population

Answer

There is no difference between a population and a sample

Question 13

Which measure of central tendency is most affected by extreme values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 14

Which type of sample is most likely to represent a population accurately?

Accepted Answer

A random sample

Answer

A sample chosen for convenience

Answer

A sample chosen in a systematic way

Answer

A sample chosen by the people themselves

Question 15

What is the key difference between the mean and median of a dataset?

Accepted Answer

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

Answer

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

Answer

The mean and median are always the same.

Answer

There is no difference between the mean and median.

Question 16

What does a pie chart primarily show?

Accepted Answer

Percentage of data

Answer

Frequency of data

Answer

Numerical values

Answer

Average of data

Question 17

Which of the following is not a type of graph commonly used to represent statistical data?

Accepted Answer

Table

Answer

Bar chart

Answer

Scatter plot

Answer

Histogram

Question 18

What is the main purpose of a bar chart?

Accepted Answer

To show the frequency of data

Answer

To show the relationship between two variables

Answer

To show the distribution of data

Answer

To show the average of data

Question 19

In the statistical enquiry cycle, what is the first step?

Accepted Answer

Collect the data

Answer

Analyse the data

Answer

Interpret the data

Answer

Present the data

Question 20

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

Accepted Answer

Random guessing

Answer

Surveys

Answer

Interviews

Answer

Direct observation

Question 21

What is the distinction between qualitative and quantitative data?

Accepted Answer

Qualitative data describes characteristics, while quantitative data involves numerical values.

Answer

Qualitative data involves numerical values, while quantitative data describes characteristics.

Answer

Both qualitative and quantitative data describe characteristics.

Answer

There is no difference between qualitative and quantitative data.

Question 22

Which type of graph is best suited for displaying information that changes over time?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Pie chart

Answer

Scatter plot

Question 23

Which of the following is NOT a measure of how spread out data is?

Accepted Answer

Mean

Answer

Range

Answer

Variance

Answer

Standard deviation

Question 24

What is the likelihood of rolling a six when tossing a fair six-sided die?

Accepted Answer

1/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 25

Which of these is an example of a biased sample?

Accepted Answer

A survey limited to students who are members of the school's math club

Answer

A survey of students who attend school

Answer

A survey conducted in a specific neighborhood

Answer

A survey where students are randomly selected from the school's population

Question 26

What is the difference between a population and a sample?

Accepted Answer

A population is the complete group being studied, while a sample is a smaller group representing that population.

Answer

A sample is the entire group being studied, while a population is a subset of that group.

Answer

A population and a sample are the same thing.

Answer

There is no difference between a population and a sample.

Question 27

A histogram is a graph that shows:

Accepted Answer

The distribution of data

Answer

The mean of the data

Answer

The number of different values in a data set

Answer

The relationship between two variables

Question 28

The best way to show data that compares the number of students in each class is by using a:

Accepted Answer

Bar chart

Answer

Pie chart

Answer

Histogram

Answer

Scatter plot

Question 29

The mean of a set of data represents the:

Accepted Answer

Average of the values

Answer

Middle value

Answer

Sum of the values

Answer

Lowest value

Question 30

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 31

A population is the:

Accepted Answer

Entire group you are interested in

Answer

Part of a group you are interested in

Answer

Average of a group

Answer

Range of a group

Question 32

To reduce bias in a survey, you should:

Accepted Answer

Select participants randomly

Answer

Ask leading questions

Answer

Use a small sample size

Answer

Only survey people who likely agree with you

Question 33

The main purpose of a histogram is to:

Accepted Answer

Show the distribution of data

Answer

Compare two or more data sets

Answer

Show the mean and median of a data set

Answer

Predict future trends

Question 34

A parameter is a number that describes:

Accepted Answer

A population

Answer

A sample

Answer

Both a population and a sample

Answer

Neither a population nor a sample

Question 35

Which of the following is an example of a categorical variable that describes a person?

Accepted Answer

Gender

Answer

Height

Answer

Weight

Answer

Income

Question 36

What is the mode of the following set of data: 5, 7, 7, 8, 10?

Accepted Answer

7

Answer

5

Answer

8

Answer

10

Question 37

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Interquartile range

Question 38

What is the range of the following set of data: 25, 30, 35, 40, 45?

Accepted Answer

15

Answer

5

Answer

10

Answer

20

Question 39

Which of the following is a categorical variable?

Accepted Answer

Gender

Answer

Height

Answer

Age

Answer

Weight

Question 40

What is the main purpose of a histogram?

Accepted Answer

To show the distribution of data

Answer

To compare two or more sets of data

Answer

To predict future events

Answer

To calculate probabilities

Question 41

What does the standard deviation represent?

Accepted Answer

The average difference between data points and the mean

Answer

The range of the data

Answer

The most common value in the data

Answer

The skewness of the data

Question 42

Which method is the best way to gather information about the favorite colors of students in your class?

Accepted Answer

Give each student a survey with a list of colors to choose from.

Answer

Ask each student their favorite color.

Answer

Count the number of students wearing each color of clothing.

Answer

Look at the colors of the students' backpacks.

Question 43

A group of students recorded the number of goals scored in their last 10 soccer matches. Which type of graph would be most suitable to display this data?

Accepted Answer

Bar chart

Answer

Pie chart

Answer

Line graph

Answer

Scatter plot

Question 44

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 45

What can be a potential drawback of using a pie chart?

Accepted Answer

It can make it hard to compare data values.

Answer

It can't display negative values.

Answer

It isn't suitable for large datasets.

Answer

It isn't visually appealing.

Question 46

A company wants to know if there's a link between the number of hours employees work and their productivity. Which type of graph would be most suitable to show this data?

Accepted Answer

Scatter plot

Answer

Bar chart

Answer

Pie chart

Answer

Line graph

Question 47

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

Accepted Answer

Gender

Answer

Age

Answer

Height

Answer

Income

Question 48

What is statistical power and how can researchers improve it?

Accepted Answer

Statistical power is the likelihood of finding a significant result when there is a real effect.

Accepted Answer

Researchers can increase statistical power by collecting more data.

Answer

Statistical power is the probability of rejecting a false null hypothesis.

Answer

Statistical power is not important in hypothesis testing.

Question 49

What is the main purpose of a frequency table in data analysis?

Accepted Answer

Present the distribution of data

Answer

Organize raw data into a structured format

Answer

Calculate the mean of data

Answer

Estimate future trends

Question 50

Which measure of central tendency represents the middle value of a dataset?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 51

In a survey that asks participants to rate their satisfaction level on a scale from 1 to 10, what type of data is being collected?

Accepted Answer

Ordinal

Answer

Discrete

Answer

Continuous

Answer

Categorical

Question 52

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

Accepted Answer

1/6

Answer

1/2

Answer

1/3

Answer

1/4

Question 53

Which of these measures describes how spread out a dataset is?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 54

What type of relationship exists between two variables that move in opposite directions?

Accepted Answer

Negative

Answer

Positive

Answer

Zero

Answer

Undefined

Question 55

Which of the following is NOT a valid method of data collection?

Accepted Answer

Making an assumption

Answer

Conducting a survey

Answer

Performing an experiment

Answer

Observing and recording behavior

Question 56

In a survey, which sampling method ensures an equal chance of selection for every individual in the target group?

Accepted Answer

Simple random sampling

Answer

Systematic sampling

Answer

Stratified sampling

Answer

Convenience sampling

Question 57

Which software is specifically designed for statistical analysis and data visualization?

Accepted Answer

SPSS

Answer

Microsoft Excel

Answer

Google Sheets

Answer

PowerPoint

Question 58

How can statistics help us make better decisions?

Accepted Answer

Compare different options and make informed choices.

Answer

Predict future events accurately.

Answer

Prove a particular viewpoint absolutely.

Question 59

In a statistical study, how does increasing the sample size usually affect the reliability of the data collected?

Accepted Answer

Makes the data more reliable

Answer

Makes the data less reliable

Answer

Has no effect on the reliability of the data

Question 60

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 61

Which data collection method is best for finding out the favorite subject of students in your school?

Accepted Answer

Survey

Answer

Observation

Answer

Experiment

Question 62

Identify the method of data collection that does NOT involve direct interaction with participants:

Accepted Answer

Observation

Answer

Experimentation

Answer

Interview

Answer

Survey

Question 63

Which measure of central tendency is heavily influenced by extreme values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 64

Identify the type of sampling bias that arises when certain groups are underrepresented in a sample:

Accepted Answer

Selection bias

Answer

Response bias

Answer

Non-response bias

Answer

Sampling error