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2.5 Survey Problems. The results of a survey are represented in the Venn diagram. The survey questions were: Would you be willing to donate blood? Would you be willing to serve breakfast? . donate. serve. 120. 370. 220. 290. How many students are willing to donate blood?.

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slide2

The results of a survey are represented in the Venn diagram.

The survey questions were:

Would you be willing to donate blood?

Would you be willing to serve breakfast?

donate

serve

120

370

220

290

How many students are willing to donate blood?

How many students are willing to donate blood or serve breakfast?

How many students are willing to serve breakfast?

How many students are willing to donate blood and serve breakfast?

120

slide3

The results of a survey are represented in the Venn diagram.

The survey questions were:

Would you be willing to donate blood?

Would you be willing to serve breakfast?

donate

serve

120

370

220

290

How many students are willing to donate blood but not serve breakfast?

How many students are not willing to donate blood nor serve breakfast?

370

290

How many students are willing to serve breakfast but not donate blood?

220

How many students were surveyed?

slide4

The results of a survey are represented in the Venn diagram.

The survey questions were:

Do you like to listen to classical music?

Do you like to listen to jazz?

classical

jazz

20

55

70

30

How many people like to listen to classical music and jazz?

How many people like to listen to classical music?

20

How many people like to listen to jazz?

How many people like to listen to classical music or jazz?

slide5

The results of a survey are represented in the Venn diagram.

The survey questions were:

Do you like to listen to classical music?

Do you like to listen to jazz?

classical

jazz

20

55

70

30

How many people like to listen to classical music but not jazz?

How many people do not like to listen to classical music nor jazz?

55

30

How many people like to listen to jazz but not classical music?

How many people were surveyed?

70

slide6

n(A) = 75

n(B) = 90

B

A

20

55

70

30

75 + 90 – 20 = 145

There are 78 elements in set C. There are 94 elements in set D.

slide7

In a Gallup poll, 2000 adults were selected at random and asked to agree or disagree with the following statement:

Job opportunities for women are not equal to those for men.

The results of the survey showed that

1190 people agreed

700 women agreed

Half of the people surveyed were women

1190 – 700 = 490

1000 – 700 = 300

agree

women

1000 – 490 = 510

700

How many men agreed with the statement?

490

300

490

510

How many men disagreed with the statement?

510

slide8

In a poll, 1000 adults were selected at random and asked to agree or disagree with the following statement:

Canada is more important to the United States than Mexico.

The results of the survey showed that

550 people agreed

50 Hispanics agreed

250 of the people surveyed were Hispanic

550 – 50 = 500

250 – 50 = 200

1000 – (500 + 50 + 200) = 250

agree

Hispanic

How many non-Hispanics agreed with the statement?

500

50

How many non-Hispanics disagreed with the statement?

500

200

250

250

slide9

How many people did not like any of the categories?

16

Dramas

Comedies

7

How many people liked only science fiction?

10

3

9

6

5

4

How many people liked comedies or science fiction?

16

41

Science fiction

10

How many people liked dramas but not science fiction?

10

Sixty people responded to a movie survey.

6 people liked comedies, dramas and science fiction

13 people liked comedies and dramas

10 people liked comedies and science fiction

11 people liked dramas and science fiction

26 people liked comedies

21 people liked dramas

25 people liked science fiction