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Exercises

Exercise 1

Below you see a table from Statistics Netherlands, called CBS.

a

What is this table about?

b

How many rows with numbers of students do you count?

c

How can you tell that from 2002-'03 onwards the "speciaal voortgezet onderwijs" merged with the "voortgezet onderwijs" and the "speciaal onderwijs"? Mention at least two things you find in the table.

d

What was the average size of a school for "voortgezet onderwijs" in 2002-'03? And in 2007-'08?

e

How many universities are there in The Netherlands? Compute the average number of students per university for 2000-'01 and for 2007-'08. What do you notice?

f

The number of hbo-students does not seem to have increased from 2000-'01 through 2007-'08. Use a computation to show that the average number of students per institution has actually risen quite strongly.

Exercise 2

This was the ranking in the Jupiler-league on November 27, 2009. This is the First Division competion in professional soccer.
Abbreviations: GS = played matches, WI = wins, GL = draws, VL = losses, PT = points, V = goals scored, T = goals against.

a

Which team is in the lead? How many points did this team acquire? In how many played matches?

b

Show that the number of points corresponds to the number of wins, losses and draws. How many points does a team get for a win? And for a draw?

c

What is the total number of goals in this competition up to now?

d

Although both have the same number of points De Graafschap is ranked above Cambuur - Leeuwarden. This has to do with the goal difference. What do we mean by that? Use an example to show that the ranking is correct.

e

When teams have the same number of points, you could also compare the goal average. The soccer federation states: "By goal average we mean the number that is obtained by dividing the number of the goals scored by the number of goals against". Would this have changed the ranking?

Exercise 3

A biologist wants to know how the size of a brood (the number of young birds) influences the amount of food each of the young gets. He observes breeding titmice. The table contains his data.

a

Before starting the biologist presumed that the larger the brood, the smaller the amount of food per young. Did this presumption turn out to be right? Can you give an explanation?

b

The total amount of food the parent birds provide is not the same for each brood size. Precisely describe what happens.

c

The rate of growth of the young birds, however, is almost the same for each brood size. Can you explain that?

The biologist finds these data about the heat production of young birds in the professional literature.

d

Do these data satisfactorily explain the almost constant growth rate of the young birds?

Exercise 4

In a study about color blindness 12000 people have been tested. Out of the 6500 men participating in the study 612 were color blind, whereas only 53 women were color blind.

a

Enter the data from the text above into the proper places in the cross table.

b

What fraction of men is color blind?

c

What fraction of the color blind is female?

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