Data Handling Quizzes for Year 8 Mathematics | Comprehensive School

Question 1

A data set has the following values: 5, 7, 9, 11, 13. What is the median of this data set?

Accepted Answer

9

Answer

6

Answer

8

Answer

10

Question 2

The mode of a data set is defined as the:

Accepted Answer

Value that occurs most frequently

Answer

Value that occurs least frequently

Answer

Sum of all values divided by the number of values

Answer

Difference between the highest and lowest values

Question 3

A scatter plot shows a strong positive correlation between two variables. What can be concluded about the relationship between the variables?

Accepted Answer

As one variable increases, the other also tends to increase

Answer

As one variable increases, the other tends to decrease

Answer

There is no relationship between the variables

Answer

The relationship between the variables cannot be determined from a scatter plot

Question 4

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

Accepted Answer

Height

Answer

Gender

Answer

Eye color

Answer

Favorite subject

Question 5

Which of the following data sets is qualitative?

Accepted Answer

Favourite colours of students

Answer

Heights of students in a class

Answer

Number of siblings each student has

Answer

Test scores of students

Question 6

Which of the following is a stem-and-leaf plot?

Accepted Answer

A graph that shows data distribution using a stem and leaves

Answer

A graph that shows data distribution using a line

Answer

A graph that shows data distribution using bars

Answer

A graph that shows the relationship between two variables

Question 7

A box plot shows the following information:

Minimum: 5
Q1: 7
Median: 9
Q3: 11
Maximum: 13

What is the interquartile range?

Accepted Answer

4

Answer

2

Answer

6

Answer

8

Question 8

Which measure of central tendency can be heavily influenced by extreme values?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 9

A survey of 50 students showed that their ages range from 11 to 31 years. Which graphical representation would be most suitable for presenting this data?

Accepted Answer

Histogram

Answer

Scatter plot

Answer

Pie chart

Question 10

Which of the following is not a common method of data collection?

Accepted Answer

Estimation

Answer

Survey

Answer

Experiment

Answer

Observation

Question 11

A clothing store recorded the number of shirts sold each day over a one-month period. Which measure of central tendency would be most suitable for summarizing this data?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Question 12

Which of the following is a categorical variable?

Accepted Answer

Job title

Answer

Height

Answer

Age

Question 13

Which of the following data sets has the largest range?

Accepted Answer

{4, 6, 8, 10}

Answer

{2, 4, 6, 8}

Answer

{0, 2, 4, 6}

Question 14

A company tracked the number of visitors to its website over a 12-month period. Which graphical representation would be most appropriate for showing this data over time?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Table

Question 15

What is the median of the following data set: 12, 14, 16, 18, 20?

Accepted Answer

14

Answer

16

Answer

18

Question 16

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

Accepted Answer

Range

Answer

Median

Answer

Mode

Answer

Average

Question 17

What is the key difference between a stem-and-leaf plot and a histogram?

Accepted Answer

Stem-and-leaf plots display individual data values, while histograms group data into intervals.

Answer

Histograms display individual data values, while stem-and-leaf plots group data into intervals.

Answer

Stem-and-leaf plots are better suited for small data sets, while histograms are more appropriate for larger data sets.

Answer

Histograms are better suited for small data sets, while stem-and-leaf plots are more appropriate for larger data sets.

Question 18

Which type of graph is most suitable for displaying the distribution of a continuous variable?

Accepted Answer

Histogram

Answer

Pie chart

Answer

Bar chart

Answer

Scatter plot

Question 19

A data set has a mean of 10 and a median of 12. What is a possible explanation for this difference?

Accepted Answer

The data set is skewed towards higher values.

Answer

The data set is skewed towards lower values.

Answer

The data set is approximately symmetrical.

Answer

The data set has a high number of outliers.

Question 20

What does a negative correlation coefficient indicate?

Accepted Answer

A strong negative relationship between the variables

Answer

A strong positive relationship between the variables

Answer

A weak positive relationship between the variables

Answer

A weak negative relationship between the variables

Question 21

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 representative subset.

Answer

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

Answer

A population is always larger than a sample.

Answer

A sample is always larger than a population.

Question 22

When is it appropriate to use a pie chart to represent data?

Accepted Answer

To compare proportions of a whole

Answer

To display trends over time

Answer

To compare individual data values

Answer

To analyze distributions of continuous variables

Question 23

What is a key benefit of using a histogram to display data?

Accepted Answer

It reveals the data's distribution.

Answer

It allows for comparisons between multiple datasets.

Answer

It enables predictions about future data.

Question 24

Which of these is NOT a measure of central tendency?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 25

Which of the following is NOT a measure of central tendency used to describe a set of data?

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 26

How do you find the mode of a data set?

Accepted Answer

Find the value that occurs most frequently

Answer

Add all the numbers and divide by the total number of values

Answer

Subtract the smallest value from the largest value

Answer

Multiply all the numbers together

Question 27

What is the main purpose of using a frequency table?

Accepted Answer

To organize and summarize a large set of data

Answer

To calculate measures of central tendency

Answer

To represent data visually using graphs or charts

Answer

To make inferences and draw conclusions about a population

Question 28

Which of the following is NOT an advantage of using a scatter plot?

Accepted Answer

Suitable for representing large and complex data sets

Answer

Shows the relationship between two variables

Answer

Can identify trends and patterns in data

Answer

Easy to create and interpret

Question 29

How do you minimize bias in a data collection process?

Accepted Answer

By collecting data from a random sample of the population

Answer

By using leading questions in surveys or interviews

Answer

By excluding extreme values or outliers from the data set

Answer

By relying on self-reported data without verifying its accuracy

Question 30

Which of the following is NOT a measure of average?

Accepted Answer

Standard deviation

Answer

Mean

Answer

Median

Answer

Mode

Question 31

Which of the following is the best type of graph to show the distribution of categorical data?

Accepted Answer

Pie chart

Answer

Bar chart

Answer

Scatter plot

Answer

Line graph

Question 32

Which of the following is NOT a step in the process of handling data?

Accepted Answer

Deleting data

Answer

Collecting data

Answer

Analyzing data

Answer

Presenting data

Question 33

A meteorologist records the daily temperature for a month. Which type of graph would be most suitable to display the data?

Accepted Answer

Line graph

Answer

Bar chart

Answer

Pie chart

Answer

Scatter plot

Question 34

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

Accepted Answer

Range

Answer

Mean

Answer

Median

Answer

Mode

Question 35

Which of the following is the best representation of a data set with a wide range?

Accepted Answer

Histogram

Answer

Bar chart

Answer

Pie chart

Answer

Scatter plot

Question 36

The median of a data set is the value that:

Accepted Answer

Is the middle value when the data is arranged in order

Answer

Occurs most frequently

Answer

Is the sum of all the values divided by the number of values

Answer

Is the difference between the highest and lowest values

Question 37

Which of the following graphs shows a positive correlation?

Accepted Answer

A graph with a line that slopes up from left to right

Answer

A graph with a line that slopes down from left to right

Answer

A graph with a U-shaped curve

Answer

A graph with a V-shaped curve

Question 38

A survey asks students to rate their satisfaction with the school library on a scale of 1 to 5. What type of data is this?

Accepted Answer

Ordinal

Answer

Discrete

Answer

Continuous

Answer

Categorical

Question 39

A survey was conducted asking 100 students their favorite subject. The results are shown in the table below. What percentage of students chose Mathematics?

| Subject | Number of Students |
    |---|---|
    | English | 25 |
    | Mathematics | 35 |
    | Science | 20 |
    | History | 20 |

Accepted Answer

35%

Answer

50%

Answer

75%

Answer

25%

Question 40

What is the mode of the following data set: 2, 4, 6, 6, 8, 10?

Accepted Answer

6

Answer

10

Answer

8

Answer

4

Question 41

Which of the following is an advantage of using a histogram to represent data?

Accepted Answer

It shows the distribution and frequency of data

Answer

It is easy to compare different data sets

Answer

It is visually appealing

Question 42

Which of the following types of data is an example of categorical data?

Accepted Answer

Eye color

Answer

Height

Answer

Age

Answer

Temperature

Question 43

What is the main reason for using a data validation rule?

Accepted Answer

To ensure the data entered is accurate and consistent

Answer

To protect sensitive data

Answer

To make data analysis easier

Question 44

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

Accepted Answer

Mean

Answer

Standard deviation

Answer

Range

Answer

Variance

Question 45

A company wants to analyze their product sales **over several months**. Which type of graph would be most appropriate for this purpose?

Accepted Answer

Line graph

Answer

Pie chart

Answer

Scatter plot

Answer

Bar chart

Question 46

A scientist wants to compare the **growth of plants** under different watering conditions. Which of the following types of data would be most appropriate to collect?

Accepted Answer

Numerical data

Answer

Categorical data

Answer

Ordinal data

Answer

Interval data

Question 47

A researcher wants to estimate the **average height** of all Year 8 students in a school. They randomly select 50 students and measure their heights. Which statistical measure would be most suitable to use?

Accepted Answer

Sample mean

Answer

Median

Answer

Mode

Answer

Range

Question 48

A company records their sales for each month over a year. Which type of statistical analysis would be most suitable to **summarise and interpret** this data?

Accepted Answer

Descriptive statistics

Answer

Regression analysis

Answer

Time series analysis

Answer

Inferential statistics

Question 49

The ages of students in a class are: 12, 13, 12, 14, 13, 12, 13, 14. What is the mode of this data set?

Accepted Answer

12

Answer

12.5

Answer

14

Answer

13

Question 50

A shop recorded the number of customers each day for a week: 25, 30, 28, 35, 22, 32, 27. What is the mean number of customers per day?

Accepted Answer

28.4

Answer

35

Answer

27

Answer

30

Question 51

The heights of five students are 150cm, 160cm, 155cm, 145cm, and 165cm. What is the median height?

Accepted Answer

155cm

Answer

160cm

Answer

150cm

Answer

165cm

Question 52

A survey found that 60% of students prefer chocolate ice cream, 30% prefer vanilla, and 10% prefer strawberry. Which data representation would best show the proportion of students who prefer each flavor?

Accepted Answer

Pie chart

Answer

Scatter graph

Answer

Bar chart

Answer

Line graph

Question 53

A group of friends measured their heights in centimeters: 160, 170, 155, 165, 175. What is the mean height of the group?

Accepted Answer

165cm

Answer

170cm

Answer

155cm

Answer

175cm