Statistics for Year 5: Data and Graphs Made Easy

Question 1

You want to track the temperature changes over a week. Which graph would be best to use?

Accepted Answer

Line Graph

Answer

Bar Graph

Answer

Scatterplot

Answer

Pie Chart

Question 2

Based on the survey results, what can you conclude about the students' favorite learning method?

Accepted Answer

The majority of students prefer learning online.

Answer

Most students prefer learning in the classroom.

Answer

Students are evenly split between online and in-classroom learning.

Answer

The survey doesn't give enough information to decide.

Question 3

When we gather information from people, why is it important to consider ethical issues like informed consent, privacy, and confidentiality?

Accepted Answer

To protect the privacy and rights of the people we collect data from.

Answer

To ensure the data we collect is accurate and reliable.

Answer

To avoid legal consequences.

Answer

To make the data collection process easier.

Question 4

What type of data describes qualities or characteristics?

Accepted Answer

The favorite color of students in a class

Answer

The number of students in a class

Answer

The average height of students in a class

Question 5

What are the three most common ways to collect data?

Accepted Answer

Survey, Experiment, Observation

Answer

Interview, Experiment, Observation

Answer

Survey, Interview, Experiment

Answer

Survey, Observation, Interview

Question 6

What is the best way to represent data that shows changes over time?

Accepted Answer

Line graph

Answer

Bar graph

Answer

Pie chart

Answer

Scatter plot

Question 7

What number appears most frequently in the following set: 4, 7, 4, 9, 7, 4, 11?

Accepted Answer

4

Answer

7

Answer

9

Answer

11

Question 8

Which of the following is NOT a way of finding the middle of a set of numbers?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 9

What does a stem-and-leaf plot show?

Accepted Answer

How data is spread out

Answer

The average and middle of the data

Answer

How two sets of data compare

Answer

What might happen in the future

Question 10

Which of these methods is NOT used to gather information?

Accepted Answer

Making assumptions

Answer

Surveys

Answer

Interviews

Answer

Observations

Question 11

Which of these graphs is best for showing the spread of test scores?

Accepted Answer

Histogram

Answer

Bar chart

Answer

Pie chart

Answer

Scatterplot

Question 12

What is the average (mean) of these numbers: 5, 7, 9, 11?

Accepted Answer

7

Answer

6

Answer

8

Answer

9

Question 13

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 14

If a data set has a large range, what does this tell us?

Accepted Answer

The data is spread over a wide range of values

Answer

The data is grouped around the mean

Answer

The data is normally distributed

Answer

The data is skewed

Question 15

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 16

A bag contains 10 marbles, 5 red and 5 blue. If you pick a marble at random, what is the chance of picking a red marble?

Accepted Answer

1 in 2

Answer

1 in 3

Answer

1 in 4

Answer

1 in 5

Question 17

What is the most common number in the following data set: 1, 2, 3, 3, 4, 5, 5, 5?

Accepted Answer

5

Answer

1

Answer

3

Question 18

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

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 19

Calculate the interquartile range (IQR) of the following data set: 5, 7, 9, 11, 13

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 20

In statistical hypothesis testing, what does the null hypothesis assume?

Accepted Answer

The difference between the two groups is not significant.

Answer

The difference between the two groups is significant.

Answer

The two groups are independent.

Answer

The two groups are related.

Question 21

Which of these is NOT a type of statistical graph?

Accepted Answer

Flowchart

Answer

Bar chart

Answer

Pie chart

Answer

Histogram

Question 22

Which of these describes a characteristic that cannot be measured with numbers?

Accepted Answer

Gender

Answer

Age

Answer

Height

Answer

Number of siblings

Question 23

Which chart is best for comparing different things?

Accepted Answer

Bar chart

Answer

Pie chart

Answer

Scatter plot

Answer

Line graph

Question 24

Which sampling method ensures that each person in a group has an equal opportunity to be selected?

Accepted Answer

Simple random sampling

Answer

Systematic sampling

Answer

Stratified sampling

Answer

Cluster sampling

Question 25

Which of these is NOT a trustworthy way to collect information?

Accepted Answer

Guessing

Answer

Surveys

Answer

Experiments

Question 26

Which of the following is NOT a type of data?

Accepted Answer

Information

Answer

Qualitative

Answer

Quantitative

Answer

Measurement

Question 27

What is the purpose of a frequency table?

Accepted Answer

To display data in an organized manner that makes it easier to read and understand.

Answer

To create a visual representation of data.

Answer

To solve mathematical problems.

Answer

To predict future trends.

Question 28

What is the average (mean) of the following numbers: 6, 8, 10, 12?

Accepted Answer

8

Answer

7

Answer

9

Answer

10

Question 29

What is the purpose of a bar graph?

Accepted Answer

To compare different categories of data

Answer

To show changes over time

Answer

To show the relationship between two variables

Answer

To represent a part-to-whole relationship

Question 30

Which of these is a drawback of representing data in a histogram?

Accepted Answer

Can be unclear if the data is not evenly spread out.

Answer

Cannot show you each separate value in the data.

Answer

They are hard to draw.

Answer

They need a lot of data.

Question 31

Which of these is NOT a valid conclusion you can make from a statistical study?

Accepted Answer

The results definitely prove the idea being tested.

Answer

The results are very important.

Answer

The results apply to the whole group.

Answer

The results back up the idea being tested.

Question 32

What is the difference between a population and a sample?

Accepted Answer

A population is the whole group you are interested in, while a sample is a smaller part of that group.

Answer

A population is smaller than a sample.

Answer

A sample is smaller than a population.

Answer

A sample is the whole group you are interested in, while a population is a smaller part of that group.

Question 33

Which of these is a measure of how the data is spread?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 34

Which of these is a qualitative variable?

Accepted Answer

Hair color

Answer

Age

Answer

Height

Answer

Number of siblings

Question 35

What is the mode of the data set: 2, 4, 6, 2, 8?

Accepted Answer

2

Answer

4

Answer

6

Answer

8

Question 36

What is the key difference between a histogram and a bar chart?

Accepted Answer

Histograms show data that is continuous, while bar charts show data that is discrete.

Answer

Bar charts show data that is continuous, while histograms show data that is discrete.

Answer

Histograms show the distribution of data, while bar charts compare categories.

Answer

Bar charts show the distribution of data, while histograms compare categories.

Question 37

Which kind of graph best shows how something changes over time?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Pie chart

Answer

Venn diagram

Question 38

Which of these is NOT a type of chart?

Accepted Answer

Table with numbers

Answer

Bar chart

Answer

Line graph

Answer

Pie chart

Question 39

Which type of chart would be best to show the number of students in each grade at a school?

Accepted Answer

Bar chart

Answer

Line graph

Answer

Pie chart

Answer

Scatter plot

Question 40

Which of the following is NOT a way to use a graph?

Accepted Answer

Learn a poem

Answer

Spot trends

Answer

Make comparisons

Answer

Draw conclusions

Question 41

What is the difference between a 'qualitative' type of information and a 'quantitative' type?

Accepted Answer

Qualitative information is like categories, while quantitative information is like numbers.

Answer

Qualitative information can be counted, while quantitative information cannot.

Answer

Qualitative information cannot be counted, while quantitative information can.

Answer

Quantitative information is like categories, while qualitative information is like numbers.

Question 42

Which of the following is an example of 'qualitative' information?

Accepted Answer

Gender

Answer

Age

Answer

Height

Answer

Income

Question 43

Which of these is NOT a valid method of collecting data?

Accepted Answer

Guessing

Answer

Surveying

Answer

Observing

Answer

Interviewing

Question 44

Which type of chart is ideal for showing data that changes over time?

Accepted Answer

Line graph

Answer

Pie chart

Answer

Scatterplot

Answer

Histogram

Question 45

In the following data set: 2, 3, 5, 5, 7, 8, which number occurs most frequently?

Accepted Answer

5

Answer

3

Answer

8

Answer

2

Question 46

If you roll a standard six-sided die, what is the chance of getting a 2?

Accepted Answer

1 out of 6

Answer

3 out of 6

Answer

5 out of 6

Answer

2 out of 6

Question 47

Which of these is NOT a measure of the 'average' of a data set?

Accepted Answer

Range

Answer

Mode

Answer

Median

Answer

Mean

Question 48

What is the difference between a population and a sample?

Accepted Answer

A sample is a smaller group selected to represent the larger population.

Answer

They are the same thing.

Answer

A population is a smaller group selected to represent the larger sample.

Question 49

Which type of variable can only take specific, countable values?

Accepted Answer

Discrete variable

Answer

Categorical variable

Answer

Ordinal variable

Answer

Continuous variable

Question 50

What is the purpose of a histogram?

Accepted Answer

To show the distribution of data across different intervals.

Answer

To show the average value of a data set.

Answer

To show the relationship between two variables.

Answer

To show the probability of a particular outcome.

Question 51

Which of the following is **not** considered a type of data?

Accepted Answer

Opinion

Answer

Categorical

Answer

Quantitative

Answer

Qualitative

Question 52

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

Accepted Answer

Mean

Answer

Mode

Answer

Median

Question 53

A histogram is used to display the:

Accepted Answer

Frequency distribution of continuous data

Answer

Changes over time

Answer

Percentages of categories

Answer

Relationship between two variables

Question 54

Which of the following is a measure of data spread or dispersion?

Accepted Answer

Standard deviation

Answer

Median

Answer

Mean

Answer

Mode

Question 55

A scatter plot is used to show the:

Accepted Answer

Relationship between two variables

Answer

Distribution of data

Answer

Frequency of data

Answer

Changes over time

Question 56

What is the mode of the following data set: 2, 4, 4, 6, 8, 8, 8?

Accepted Answer

8

Answer

6

Answer

4

Answer

2

Question 57

What is the main purpose of using a frequency table?

Accepted Answer

Organize and summarize data

Answer

Predict outcomes

Answer

Test hypotheses

Answer

Draw conclusions

Question 58

In a frequency table, which column shows how many times each value appears in the data set?

Accepted Answer

Frequency

Answer

Value

Answer

Mean

Answer

Range

Question 59

Which type of graph is commonly used to show changes over time?

Accepted Answer

Line graph

Answer

Bar graph

Answer

Pie chart

Answer

Scatter plot

Question 60

A bag has 4 red, 3 blue, and 2 yellow marbles. The probability of drawing a green marble from the bag is:

Accepted Answer

0/9

Answer

4/9

Answer

1/9

Answer

3/9

Question 61

In a class of 30 students, 20 prefer soccer, 15 prefer basketball, and 5 prefer tennis. Which sport is least popular?

Accepted Answer

Tennis

Answer

Soccer

Answer

Basketball

Answer

None of the above

Question 62

Which measure shows the difference between the smallest and largest values in a data set?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 63

If a data set has a mean of 10 and a median of 12, which statement could be true?

Accepted Answer

The data set might have an outlier.

Answer

The data set is definitely skewed.

Answer

The data set is always bimodal.

Answer

The data set is likely normally distributed.

Question 64

Which method of data collection would be best for finding out the average height of students in a classroom?

Accepted Answer

Measurement

Answer

Observation

Answer

Survey

Answer

Interview