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7.03 Two-way tables

Worksheet
Two-way tables
1

Members of a gym were surveyed about what kind of training they do. Each responder only did one kind of training and the results are given in the following table:

a

Find the total number of gym members surveyed.

b

Find the number of members who do weight training.

c

Find the percentage of the gym members who do weight training.

CardioWeight
Male1226
Female4418
2

A survey on smoking was conducted and the results are given in the table below:

a

Find the number of the people surveyed who were smokers.

b

Find the percentage of women who were nonsmokers. Round your answer to two decimal places.

c

Find the percentage of nonsmokers who were women. Round your answer to two decimal places.

SmokersNonsmokers
Men3579
Women56139
3

The departure timing of flights out of an airport for the months of May and June are described in the given table:

a

Find the percentage of the flights in June that were delayed. Round your answer to one decimal place.

b

Find the percentage of the flights in June that were on time. Round your answer to one decimal place.

c

What fraction of the total number of flights during the two months were ones that departed on time in May?

Departed on timeDelayed
May14421
June11640
4

Max asked his staff which mode of transport they took to work. He displayed his results in the given two-way table:

a

How many males caught the bus?

b

How many more females caught the train than the bus?

c

How many males did Max survey in total?

TrainBus
Males1217
Females199
5

Two motels promoted packages for one night and two night stays. The following table records the results:

a

Find the percentage of the stays that are two night stays. Round your answer to two decimal places.

b

What fraction of the two night stays was in Motel X?

c

Find the percentage of the total accommodation that is in Motel X. Round your answer to two decimal places.

One night stayTwo night stays
Motel X463266
Motel Y804817
6

Mr. Westwood asked the students in his class to pick whether they prefer swimming or cycling. He displayed the results in the given two-way table:

a

How many boys picked swimming?

b

How many girls picked cycling?

c

Did boys prefer swimming or cycling?

BoysGirls
Swimming1114
Cycling711
7

Katrina tossed three coins. She displayed the results in the given two-way table:

a

How many times did Katrina toss heads?

b

How many more times did coin 2 land on tails than coin 1?

c

How many times did Katrina toss the coins in total?

HeadsTails
Coin 11912
Coin 21314
Coin 31513
8

Michael rolled two dice. He recorded how many times each die landed on each score in the given two-way table:

a

How many times did he roll a five?

b

How many times did Michael roll die 2 ?

c

With which die did he roll more fours?

Number rolledDie 1Die 2
11713
2916
3127
4104
596
678
9

Dave surveyed all the students in Year 12 at his school and summarised the results in the following table:

Play netballDo not play netballTotal
\text{Height} \geq 170 \text{ cm}4673119
\text{Height} < 170 \text{ cm}203959
\text{Total}66112178
a

Find the percentage of Year 12 students whose height is less than 170 \text{ cm} that play netball. Round your answer to two decimal places.

b

What fraction of the students from Year 12 do not play netball?

10

Mr. Tobit asked the students in his class to pick their favourite subject. He displayed the results in the given two-way table:

MathsMusicScienceEnglish
Boys1791215
Girls10161512
a

How many girls did not pick Maths as their favourite subject?

b

How many students picked music?

c

Did boys prefer Music or Science?

11

Thirty-six students were asked whether or not they were allergic to nuts and dairy. The two way table is provided below:

Allergic to nutsNot allergic to nuts
Allergic to dairy106
Not allergic to dairy614
a

How many students are allergic to nuts?

b

How many students are allergic to nuts or dairy, or both?

c

How many students are allergic to at most one of the two things?

12

The following table shows the number of trains arriving either on time or late at a particular station:

a

How many trains were late on Friday?

b

How many trains passed through the station on Wednesday?

c

How many trains were on time throughout the entire week?

d

What fraction of trains were on time over the whole week?

DayArriving on timeArriving late
\text{Monday}2338
\text{Tuesday}1225
\text{Wednesday}2229
\text{Thursday}3027
\text{Friday}1114
\text{Saturday}1511
\text{Sunday}1410
13

In a study, some people were asked how many times they lie in a day. 20 responders said they lie at least once a day, of which 5 were children. 15 children said they never lie, and 15 adults said they never lie.

a

Complete the given table.

b

What proportion of responders said they never lie?

c

What proportion of adults said they lie at least once per day?

\text{0 times}\text{1 or more times}
Children
Adults
14

In a biology study, the appearance of an animal when carrying a certain gene is recorded. Assume that all animals must carry Gene A or Gene B but not both.

If, out of all the animals, the proportion carrying Gene A and having light fur is \dfrac{4}{19}, find the value of x.

Gene AGene B
Light fur3637
Dark fur28x
15

A total of 150 tennis players were asked whether they would support equal prize money for the women’s and men’s draw.

a

Find the missing value in the table.

b

How many more players are there in support of equal prize money than those against it?

c

Find the percentage of the male tennis players who support equal prize money. Round your answer to one decimal place.

SupportDo not support
Males35
Females6612
16

A survey was conducted about people's favourite movie genre. The results were plotted in the following column graph:

a

Complete the following two way table with the information:

ComedyActionDramaHorror
Women
Men
b

Determine the total number of people who were surveyed.

c

Determine the percentage of people who like comedy movies the most.

d

If 80 people were randomly selected from the group, how many would you expect to be women who liked horror movies?

17

Miss Merryweather recorded the hair type and colour of her students in the following graph:

a

Complete the following two way table with the information:

RedBrownBlondeBlack
Straight
Curly
b

Find the number of students in the class that were surveyed.

c

What fraction of students have black hair?

d

If 15 students from the class are randomly selected, how many would you expect to have brown hair? Round your answer correct to the nearest whole number.

18

Yuri surveyed a group of people about the type of jobs they had. He recorded the data in the following graph:

a

Complete the following two way table with the information:

No jobCasualPart-timeFull-time
Men
Women
b

How many people are unemployed?

c

What percentage of men are employed full-time? Round your answer to one decimal place.

d

What fraction of people employed casually are male?

e

If 111 people from the group are randomly selected, how many would you expect to be employed part-time?

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Outcomes

1.4.2

interpret information presented in two-way tables

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