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3.045 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

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
5

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?

6

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?

7

When people were asked if they found certain kinds of food addictive, the relative frequency of their responses was recorded:

Addicted to caffeineNot addicted to caffeine
Addicted to sugar0.30.3
Not addicted to sugar0.30.1
a

If one responder is chosen randomly, what is the probability that they find at least one of the two addictive?

b

If 90 people took part in the survey, how many found at least one of the products not addictive?

8

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 have never lied?

c

What proportion of adults said they had lied at least once?

\text{0 times}\text{1 or more times}
Children
Adults
9

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
10

In a biology study, the appearance of an animal when carrying a certain gene is recorded. Assume that all animals must cary 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
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MA12-8

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