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VCE Further Maths - Data Distributions

Total questions: 15

Worksheet time: 15mins

Name
Class
Date
1.

a)

Both categorical variable

b)

Both numerical variables

c)

an ordinal & a nominal variable respectively

d)

a discrete & a nominal variable respectively

e)

a continuous and a nominal variable respectively

2.

The number of students with brown hair is closest to:

a)

4

b)

34

c)

57

d)

72

e)

114

3.

The total number of females in the group:

a)

76

b)

78

c)

111

d)

113

e)

189

4.

The number of males who said they were on a diet is:

a)

31

b)

45

c)

47

d)

66

e)

78

5.

The % of females not on a diet is closest to:

a)

39.7%

b)

41.5%

c)

59.5%

d)

60.3%

e)

66.0%

6.

The percentage of people on a diet who were male is:

a)

39.7%

b)

40.8%

c)

41.5%

d)

58.4%

e)

76.0%

7.

The histogram displays the test

scores of a class of students. The number of students is:

a)

6

b)

18

c)

20

d)

21

e)

22

8.

The number of students in the class who obtained a test score less than 14 is:

a)

4

b)

10

c)

14

d)

16

e)

28

9.

The histogram is best described as:

a)

negatively skewed

b)

negatively skewed with an outlier

c)

approximately symmetric

d)

approximately symmetric with an outlier

e)

positively skewed

10.

The centre of the distribution lies in the interval:

a)

8–10

b)

10–12

c)

12–14

d)

14–16

e)

18–20

11.

The spread of the students’ marks is closest to:

a)

8

b)

10

c)

12

d)

20

e)

22

12.

log10 100 equals:

a)

0

b)

1

c)

2

d)

3

e)

100

13.

Find the number whose log is 2.314; give the answer to the nearest whole number.

a)

2

b)

21

c)

206

d)

231

e)

20606

14.

Australia’s per capita CO2 emissions in 2011 were 16.8 tonnes. In which column of the histogram would Australia be located?

a)

−0.5 to <0

b)

0 to <0.5

c)

0.5 to <1

d)

1 to <1.5

e)

1.5 to <2

15.

The percentage of countries with per capita CO2 emissions of under 10 tonnes is closest to:

a)

14%

b)

17%

c)

31%

d)

69%

e)

88%