topic badge
AustraliaVIC
VCE 11 General 2023

1.02 Categorical data

Worksheet
Categorical data and frequency tables
1

Tom took a survey of people's eye colours at school. The frequency table containing his results is given below:

Eye Colour\text{Brown}\text{Black}\text{Blue}\text{Green}\text{Other}
Frequency211912417
a

How many people took part in the survey?

b

What was the rarest eye colour?

c

Construct a column graph using the results from the table.

2

In a survey, some people were asked to name their favourite sport. The frequency table containing the results is given below:

Sport\text{Soccer}\text{Basketball}\text{Football}\text{Tennis}\text{Volleyball}\text{Other}
Frequency1714269412
a

State the number of people took part in the survey.

b

Determine the sport that most people rate as their favourite.

c

Construct a column graph using the results from the table above.

3

Laura asked some of her friends about their favourite colour. The frequency table is given below:

Minutes Taken\text{Black}\text{Brown}\text{Blue}\text{Red}\text{Yellow}
Frequency31012515
a

State the number of people who took part in the survey.

b

Determine the least favourite colour.

c

Construct a column graph using the results from the table.

4

A restaurant owner recorded how many employees arrived early, on time or late. The frequency table for the results is given:

EarlyOn-timeLate
Frequency10227
a

State the number of employees that the restaurant owner surveyed in total.

b

When did the majority of employees arrive?

c

Construct a column graph using the results from the table.

5

In a survey some people were asked approximately how many minutes they take to decide between brands of a particular product. The frequency table with the results is given:

\text{Minutes Taken}123
\text{Frequency}131712
a

State the number of people that took part in the survey.

b

State the number of minutes that most people take to decide between brands.

c

Construct the column graph using the results from the table.

6

For each of the following scenarios, construct a frequency table for the results:

a

Mr. Rodriguez recorded the number of pets owned by each of the students in his class. He found that 15 people had no pets, 19 people had one pet, 3 people had two pets and 8 people had three pets.

b

Katrina asked 34 people to choose their favourite fruit. 10 people picked apples, 15 people picked bananas, 6 people picked grapes and 3 people picked pears.

c

Ben asked 35 people about how many siblings they have. He found that 12 people had no siblings, 15 people had one sibling, 3 people had two siblings and 5 people had three siblings.

d

Bob asked 41 of his students to choose their favourite toy. 7 students picked cars, 13 people picked planes, 6 people picked balls and 15 people picked video games.

e

Noah asked his students to choose their favourite method of travelling. 9 students picked car, 13 people picked plane, and 5 people picked boat.

7

Monica asked 30 people to choose their favourite type of movie. 10 people chose Action, 14 people chose Comedy and 6 people chose Documentary.

This information is given in the frequency table. State the correct type of movie categories for A, B, and C.

\text{Type of Movie}ABC
\text{Frequency}10146
8

For each of the following scenarios, state what categories A, B, C and D represent in the corresponding frequency tables:

a

Sophia asked 28 of her students to pick their favourite sport. 8 picked Football, 15 picked Volleyball, 5 picked Basketball, and 5 picked Tennis.

\text{Sport}ABCD
\text{Frequency}81555
b

Rochelle asked her students how they spent their weekend. 11 said Beach, 13 said Skiing , 6 said Fun Park, and 10 said Camping.

\text{Activity}ABCD
\text{Frequency}1113610
c

Hannah interviewed 29 people about how they get to school. 8 go by Bus, 12 go by Car, 9 go by Train, and 13 go by Bicycle.

\text{Transport}ABCD
\text{Frequency}812913
d

Mr. Smith asked his 28 students about what they want to be when they grow up. 10 wanted to be a doctor, 12 wanted to be a teacher, 6 wanted to be a civil engineer, and 14 wanted to be a politician.

\text{Job}ABCD
\text{Frequency}1012614
9

The average temperature for each month in Tallsville was recorded in the given table:

a

What was the hottest month?

b

What was the coldest month?

c

Which two months had the same average temperature?

MonthTemperature
\text{January}32
\text{February}24
\text{March}29
\text{April}21
\text{May}27
\text{June}31
\text{July}25
\text{August}19
\text{September}15
\text{October}29
\text{November}26
\text{December}30
10

Judy rolled a die 29 times. She recorded the results in the frequency table below:

a

Which number was rolled the most?

b

Which number was not rolled at all?

Number rolled123456
Frequency630749
11

The set of marks for a class of students is given below:

81, 81, 71, 81, 81, 61, 71, 93, 71, 58, 71, 58, 61, 93, 93, 71, 61, 61, 81, 58, 93

a

Organise the data into a frequency table.

b
State the number of students in the class.
c

State the number of students that will get a Distinction grade (80 \lt \text{Score} \leq 90).

d

State the number of students that will get a High Distinction grade (\text{Score} \gt 90).

e

State the percentage of students getting a High Distinction grade. Round your answer to two decimal places.

Column graphs
12

Kathleen recorded the number of phone calls she received over four days. The results are displayed in the given column graph:

a

What day did Kathleen receive the most calls?

b

Which days did she receive an equal number of phone calls?

c

Find the fraction of total calls received on Wednesday.

13

The following bar graph shows the number of cars by brand that are fixed by the local mechanic:

a

Which car brand does the mechanic fix most often?

b

Which car brands does the mechanic fix equally as often?

14

Edward asked his students to choose their favourite animals. He plotted the results in the following column graph:

a

What was the most popular animal?

b

Which animals were equally popular?

c

What fraction of the total students prefer cats?

15

The table shows the number of people who visited Disneyland between 2008 and 2012:

Year20082009201020112012
Number of people (in hundred thousands)158155155157160

Construct a column graph for the data.

16

The table shows the house points earned by four different houses at their swimming carnival:

a

Construct a column graph for the data.

b

Which house that earned the most points?

HouseYellowBlueRedGreen
\text{Points}15254060
c

Which house earned as many points as the Yellow house and Blue house combined?

17

Miss Yen recorded her students' favourite pets in the given column graph:

a

What was the most popular pet?

b

What was the least popular pet?

c

How many students picked a fish as their favourite pet?

d

How many students were surveyed in total?

18

Mr. Price recorded his students' favourite book genre in the given column graph:

a

What was the most popular book genre?

b

What was the least popular book genre?

c

How many more students prefer Detective books over Drama books?

19

A survey of the preferred sport was done for a group of boys and the results are shown in the given bar graph:

a

How many boys prefer football?

b

What was the most popular sport?

c

How many boys took part in the survey?

20

Mr. Hopkins recorded the hair colours of the students in his class in the column graph given:

a

What was the most common hair color?

b

What was the least common hair colour?

c

How many more students have Red hair than Blonde hair?

21

Mrs Hubbard recorded her students' favourite fruits in the given column graph:

a

What was the most popular fruit?

b

What was the least popular fruit?

c

How many students chose Pineapples?

d

The total number of students interviewed.

22

This graph shows the seal population at Rocky Point over 5 years:

Between which two years did the seal population drop?

23

The sales of different products are shown in the following horizontal bar graph:

a

What was the best-selling product?

b

Find the total number of products sold.

c

Find the revenue generated by product B alone, given that product B was sold at \$50 each.

Sign up to access Worksheet
Get full access to our content with a Mathspace account

Outcomes

U1.AoS1.2

the concept of a data distribution and its display using a statistical plot

What is Mathspace

About Mathspace