Data Handling Quizzes for Year 11 Maths: Test Your Skills

Question 1

Which data representation method is best for showing how data is spread out and finding patterns in a large dataset?

Accepted Answer

Histogram

Answer

Frequency table

Answer

Stem-and-leaf plot

Answer

Box plot

Question 2

Which measure of central tendency represents the sum of all values divided by the number of values in a data set?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 3

Which type of graph is most appropriate for presenting data that changes over time?

Accepted Answer

Line graph

Answer

Scatter plot

Answer

Bar chart

Answer

Pie chart

Question 4

What is the definition of a data set?

Accepted Answer

A collection of related data values

Answer

A graphical representation of data

Answer

A statistical summary

Answer

A mathematical equation

Question 5

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

Accepted Answer

To display the distribution of data

Answer

To compare two or more data sets

Answer

To identify outliers

Answer

To calculate the mean and median

Question 6

Which type of data representation is most suitable for displaying the distribution of continuous data?

Accepted Answer

Histogram

Answer

Scatter plot

Answer

Bar chart

Answer

Pie chart

Question 7

In a stem-and-leaf plot, what does the x-axis represent?

Accepted Answer

The stems

Answer

The leaves

Answer

The data values

Answer

The frequency

Question 8

Which of the following is a possible conclusion that can be drawn from a box plot with a large interquartile range?

Accepted Answer

The data is spread out

Answer

The median is close to the mean

Answer

There are no outliers

Answer

The data is normally distributed

Question 9

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

Accepted Answer

1/2

Answer

1/3

Answer

1/4

Answer

1/6

Question 10

Which type of sampling method is used when each member of a population has an equal chance of being selected?

Accepted Answer

Simple random sampling

Answer

Stratified sampling

Answer

Cluster sampling

Answer

Convenience sampling

Question 11

What is the main purpose of using a confidence interval in statistics?

Accepted Answer

To estimate the true population parameter

Answer

To test a hypothesis

Answer

To predict future events

Answer

To compare two or more samples

Question 12

How does the type of data collected impact the choice of data representation methods?

Accepted Answer

The type of data collected, such as continuous or categorical, influences the choice of representation methods.

Answer

The sample size does not affect the choice of data representation methods.

Answer

All data representation methods are equally effective for all types of data.

Question 13

Which of the following is NOT a method used to visually represent data?

Accepted Answer

Flow chart

Answer

Bar chart

Answer

Scatter plot

Answer

Pie chart

Question 14

A histogram is appropriate for representing which type of data?

Accepted Answer

Quantitative data

Answer

Qualitative data

Answer

Categorical data

Answer

Ordinal data

Question 15

Which graphical representation is most suitable for showing the distribution of incomes in a population?

Accepted Answer

Box plot

Answer

Stem-and-leaf plot

Answer

Frequency polygon

Answer

Pie chart

Question 16

What is the main purpose of a stem-and-leaf plot?

Accepted Answer

To illustrate the distribution of data

Answer

To show the minimum and maximum values of a dataset

Answer

To compare multiple datasets

Answer

To show the relationship between two variables

Question 17

What does the median of a dataset represent?

Accepted Answer

The middle value when the data is arranged in ascending order

Answer

The value that occurs most frequently

Answer

The sum of all values divided by the number of values

Answer

The difference between the highest and lowest values

Question 18

What is the interquartile range (IQR) of a dataset?

Accepted Answer

The difference between the upper quartile and lower quartile

Answer

The difference between the maximum and minimum values

Answer

The difference between the median and the mean

Answer

The range divided by the number of values

Question 19

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

Accepted Answer

Eye color

Answer

Height

Answer

Age

Answer

Income

Question 20

What is the key difference between a continuous and a discrete variable?

Accepted Answer

Continuous variables can take any value, while discrete variables can only take specific values

Answer

Continuous variables are always numerical, while discrete variables can be both numerical and categorical

Answer

Discrete variables can be graphed using histograms, while continuous variables can be graphed using frequency polygons

Answer

Continuous variables have a normal distribution, while discrete variables do not

Question 21

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

Accepted Answer

Guesswork

Answer

Questionnaire

Answer

Interview

Answer

Observation

Question 22

Which data collection method is likely to produce a sample that is not representative of the population?

Accepted Answer

Convenience sampling

Answer

Random sampling

Answer

Stratified sampling

Answer

Systematic sampling

Question 23

Which of the following is NOT a method of representing data graphically?

Accepted Answer

Mean absolute deviation

Answer

Frequency table

Answer

Histogram

Answer

Scatterplot

Question 24

How does a stem-and-leaf plot differ from a box plot?

Accepted Answer

Stem-and-leaf plots show individual data points, while box plots summarize the distribution

Answer

Box plots show the range of data, while stem-and-leaf plots do not

Answer

Stem-and-leaf plots are more difficult to construct than box plots

Answer

Box plots can handle larger datasets than stem-and-leaf plots

Question 25

Which measure of central tendency is less affected by outliers?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Answer

Range

Question 26

What does the interquartile range (IQR) represent?

Accepted Answer

The range of the middle 50% of data

Answer

The difference between the maximum and minimum values

Answer

The average of the upper and lower quartiles

Answer

The proportion of data points within a specific range

Question 27

When selecting a method to represent data, which of the following should NOT be considered?

Accepted Answer

Time available for creating the representation

Answer

Purpose of the representation

Answer

Type of data being represented

Answer

Audience for the representation

Question 28

What is the key advantage of using a box plot to summarize data?

Accepted Answer

Provides a visual representation of the distribution and outliers

Answer

Is easy to calculate and interpret

Answer

Can be used for both numerical and categorical data

Answer

Shows the exact values of each data point

Question 29

What is the primary goal of data collection?

Accepted Answer

Obtain information to support decision-making

Answer

Prove a hypothesis

Answer

Describe a population

Answer

Predict future events

Question 30

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

Accepted Answer

Inference

Answer

Survey

Answer

Interview

Answer

Experiment

Question 31

Which of these is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 32

Identify a key characteristic of a box plot.

Accepted Answer

Displays median, quartiles, and extreme values.

Answer

Displays mean, mode, and range.

Answer

Illustrates the frequency of each data point.

Answer

Shows the distribution of data.

Question 33

What is the fundamental distinction between qualitative and quantitative variables?

Accepted Answer

Quantitative variables are numerical, while qualitative variables are categorical.

Answer

Qualitative variables are numerical, while quantitative variables are categorical.

Answer

There is no distinction between qualitative and quantitative variables.

Answer

Qualitative variables are continuous, while quantitative variables are discrete.

Question 34

What is the primary purpose of a scatter plot?

Accepted Answer

To illustrate the relationship between two variables.

Answer

To display data distribution.

Answer

To calculate mean, median, and mode.

Answer

To show the frequency of each data point.

Question 35

Which type of graph is best suited for data exhibiting a clear trend?

Accepted Answer

Line chart

Answer

Bar chart

Answer

Pie chart

Answer

Histogram

Question 36

Which of the following is **not** a data representation method?

Accepted Answer

Spreadsheet

Answer

Frequency table

Answer

Histogram

Answer

Bar chart

Question 37

What is the key difference between a frequency table and a histogram?

Accepted Answer

A frequency table uses numerical values while a histogram uses visual bars.

Answer

A histogram allows for more complex data analysis than a frequency table.

Answer

A frequency table is more suitable for large datasets than a histogram.

Answer

There is no significant difference between a frequency table and a histogram.

Question 38

Which of the following is a measure of the **average** value in a dataset?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 39

Calculate the interquartile range (IQR) for the following data set: 4, 6, 7, 9, 10, 12, 14.

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 40

What is the primary purpose of a stem-and-leaf plot?

Accepted Answer

To visually display the distribution of data values

Answer

To calculate the mean of a dataset

Answer

To identify outliers in a dataset

Answer

To create a scatter plot

Question 41

Which of the following is **not** an advantage of using a box plot?

Accepted Answer

Calculation of the mean and median

Answer

Easy identification of outliers

Answer

Comparison of multiple datasets

Answer

Visualization of the data distribution

Question 42

What does the correlation coefficient primarily measure?

Accepted Answer

The strength and direction of a linear relationship between two variables

Answer

The slope of a linear relationship between two variables

Answer

The y-intercept of a linear relationship between two variables

Answer

The number of data points in a linear relationship

Question 43

What is the fundamental difference between a population and a sample?

Accepted Answer

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

Answer

A population is always larger than a sample.

Answer

A sample is more accurate than a population.

Answer

There is no difference between a population and a sample.

Question 44

Which measure of central tendency is most appropriate for skewed data?

Accepted Answer

Median

Answer

Mean

Answer

Mode

Question 45

A stem-and-leaf plot is a graphical representation of data that primarily emphasizes which of the following?

Accepted Answer

Shape of the distribution

Answer

Division of data into equal intervals

Answer

Categorization of data

Question 46

In a data set with a mean of 10 and a standard deviation of 2, approximately what percentage of the data falls within one standard deviation of the mean?

Accepted Answer

68%

Answer

32%

Answer

95%

Question 47

Which sampling method ensures that each member of a population has an equal probability of selection?

Accepted Answer

Simple random sampling

Answer

Stratified sampling

Answer

Cluster sampling

Question 48

A frequency table primarily displays which aspect of data?

Accepted Answer

Frequency of each value's occurrence

Answer

Range of the data

Answer

Mean of the data

Question 49

Which potential drawback is associated with histograms?

Accepted Answer

Misinterpretation due to inappropriate bin size

Answer

Inability to show exact data distribution

Answer

Difficulty in comparing multiple data sets

Question 50

For the data set: 5, 7, 9, 11, 13, 15, 17, 19, what is the median?

Accepted Answer

11

Answer

10

Answer

13

Question 51

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

Accepted Answer

Height

Answer

Gender

Answer

Eye color

Question 52

In a survey where students rate their school satisfaction on a scale of 1 to 5, what type of data is being collected?

Accepted Answer

Ordinal data

Answer

Categorical data

Answer

Interval data

Question 53

Which of the following is a quantitative variable?

Accepted Answer

Height

Answer

Gender

Answer

Eye colour

Answer

Occupation

Question 54

The interquartile range (IQR) of a dataset is:

Accepted Answer

The difference between the upper and lower quartiles

Answer

The difference between the maximum and minimum values

Answer

The average of the upper and lower quartiles

Answer

The sum of the upper and lower quartiles

Question 55

A box plot is useful for:

Accepted Answer

Identifying outliers and the spread of data

Answer

Comparing the distribution of multiple datasets

Answer

Determining the mean and mode of a dataset

Answer

Predicting future data points

Question 56

Which measure of central tendency is most affected by outliers?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range