Maths Quest A Year 11 for Queensland
WorkSHEET 9.1
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2
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Chapter 9 Collecting and entering data
WorkSHEET 9.1
1
Collecting and entering data
Name: ___________________________
Classify the following data as categorical or
numerical:
(a) type of car
(b) weekly wage
(c) plane fares
(d) petrol prices
(e) breed of dog
(a)
(b)
(c)
(d)
(e)
categorical
numerical
numerical
numerical
categorical
Classify the following numerical data as
discrete or continuous.
(a) shoe size
(b) foot length
(c) students in a class
(d) distance travelled to school
(e) children per family
(a)
(b)
(c)
(d)
(e)
discrete
continuous
discrete
continuous
discrete
(a)
(b)
(c)
(d)
(e)
closed
open
open
open
closed
(a)
(b)
(c)
(d)
(e)
bias implied — emotional language
double negative
double barrelled
leading question — emotional language
Capable of being answered by the
respondent?
Classify the following questions as either open
or closed.
(a) Do you prefer meat of fish?
(b) What type of meat do you prefer?
(c) How much pocket money do you receive
each week?
(d) How many times have you travelled
overseas?
(e) Do you exercise more than two hours per
week?
Criticise the following questions.
(a) Why don’t you like our fat and lazy form
captain?
(b) Why is it that you don’t reject the
proposal for a new uniform?
(c) Would you consider becoming captain of
our newly formed Chess Club and have
the distinction of being the first captain?
(d) We believe that dingoes are dangerous.
Do you believe they should be culled?
(e) Do you agree with our Opposition
Leader’s view on education?
Maths Quest A Year 11 for Queensland
5
A random sample of 29 young people was
surveyed to find the number of colours they
have in their hair. Here are the raw data
collected:
1, 3, 4, 2, 1, 2, 2, 2, 1, 1, 2, 2, 3, 3, 1, 2, 3,
1, 1, 2.
(a)
Organise the data into a frequency
distribution table
(b)
How many people have one colour in
their hair?
(c)
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Chapter 9 Collecting and entering data
Which score has the highest frequency?
(a)
Numbers
of hair
colours Frequency
How many people preferred the Jam
Factory?
(b)
Which Village Cinema was preferred by
25 people in the survey?
(c)
How many people were surveyed?
1
7
2
8
3
4
4
1
(b)
7 people
(c)
2 colours
A number of people were surveyed as to their
preference of Village Cinema. Here is a column
graph of the data.
(a)
(a)
WorkSHEET 9.1
35
(b)
City Centre and Crown
(c)
145
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Maths Quest A Year 11 for Queensland
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Chapter 9 Collecting and entering data
WorkSHEET 9.1
The table below gives the charges to call
various countries from Brisbane.
(a)
Primus Telecom Call Rates (per min)
Country
8
Rate
Canada
$0.35¢
Chile
$0.75¢
China
$0.90¢
Croatia
$0.70¢
Egypt
$1.15¢
France
$0.50¢
(a)
Draw a column graph of the data.
(b)
Which country costs the least to call per
minute?
(c)
At what rate is the call to Egypt charged? (c)
(b)
Canada
$1.15
The pie graph below describes the survey
results showing the favourite flower of a group
of people.
(a)
6 people like daisies.
(b)
11 people like pansies.
(c)
100 people were surveyed.
(d)
59% chose a flower other than a rose.
(e)
32
 360   115.2
100
Approx 115 is covered by people who
like gardenias.
(a)
How many people like daisies?
(b)
How many people like pansies?
(c)
How many people were surveyed?
(d)
What percentage of the people surveyed
chose a flower other than a rose?
(e)
What size angle is covered by the people
who like gardenias?
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Maths Quest A Year 11 for Queensland
9
WorkSHEET 9.1
4
For the following table of values showing the
favourite footwear of a group of 24 people,
complete the fraction and angle-size column.
Footwear
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Chapter 9 Collecting and entering data
No. of people
Fraction
Angle size
Footwear
No. of people
Fraction
4
24

1
6
Sandals
4
Sandals
4
Runners
12
Runners
12
12
24
 12
Boots
6
Boots
6
6
24

Thongs
2
Thongs
2
2
24
1
 12
High heels
0
High heels
0
0
24
0
Total
24
Total
24
24
24
1
Use the completed table of values from
question 9 to construct a pie graph.
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4
Angle size
060o
180o
090o
030o
000o
360o