Maths Quest Maths B Year 11 for Queensland
WorkSHEET 9.1
Chapter 9 Presentation of data WorkSHEET 9.1
Presentation of data
1
Name: ___________________________
1
State whether each of the following variables is (a)
categorical or quantitative.
(a) The amount of electricity used each day
by various households (in kilowatt
hours).
(b) The brand of breakfast cereal eaten by the
members of world championship sorting
teams.
(c) The number of subjects studied by
university students.
3
2
For those variables in question 1 that are
deemed quantitative, state whether they are
discrete or continuous.
2
3
Explain what is meant by ‘discrete data’ and
‘continuous data’.
2
4
In each of the following, state whether the
(a)
information was obtained using a census or
sample.
(a) All students in Year 12 are asked where
they would like to hold the Year 12
farewell party.
(b) A selection of 200 households is asked to
complete a television ratings form.
(c) Every 20th tyre on a production line is
tested for durability.
3
5
From a group of 120 students, 20 need to be
selected to participate in a survey.
2
Use the random number function on your
scientific or graphics calculator to select the
20 participants.
Maths Quest Maths B Year 11 for Queensland
Chapter 9 Presentation of data WorkSHEET 9.1
2
6
Of the 120 students in the previous question,
there are 70 boys and 50 girls. If a stratified
sample is to be chosen, how many boys and
girls should be chosen?
4
7
The data below show the weights (in kg) of 20
possums trapped, weighed, then released by a
wildlife researcher.
3
Prepare a stem-and-leaf diagram for the data.
1.8
2.1
2.3
2.5
8
0.9
2.7
1.5
2.7
0.7
2.2
1.1
3.2
1.4
1.8
2.2
1.9
1.6
2.3
3.0
1.7
The following data give the length of gestation
(in days) for 24 mothers.
3
Prepare a stem-and-leaf plot of the data using a
class size of 5.
9
280 287 285 276 266 292
288 273 295 279 284 271
292 288 279 281 270 278
281 292 268 282 275 281
The data below give the number of errors made
each week by 20 machine operators.
Prepare a stem-and-leaf diagram of the data
using stems of 0, 10, 20, etc
6
18
17
29
15
32
26
32
20
43
38
46
25
52
31
13
28
27
26
20
3
Maths Quest Maths B Year 11 for Queensland
10
Chapter 9 Presentation of data WorkSHEET 9.1
The typing speed of 30 word processors is
recorded below.
Prepare a stem-and-leaf diagram of the data
using a class size of 5.
96 102 92 96 95 102 95 115 110 108
88 86 107 111 107 108 103 121 107 96
124 95 98 102 108 112 120 99 121 130
3
3