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WORK PROGRAM
Chapter 3 Data analysis and evaluation
Strand: Data
Substrands and outcomes:
Data representation
DS4.1 Constructs, reads and interprets graphs, tables, charts and statistical information
Data analysis and evaluation
DS4.2 Collects statistical data using either a census or a sample and analyses data using measures of
location and range
Data representation and analysis
DS5.1.1 Groups data to aid analysis and constructs frequency and cumulative frequency tables and graphs
Data analysis and evaluation
DS5.2.1 Uses the interquartile range and standard deviation to analyse data
Section
Are you ready? (page 94)
GC tips, Investigations,
History of mathematics,
Maths Quest challenge,
10 Quick Questions,
Code puzzles,
Career profiles
SkillSHEETs,
WorkSHEETs,
Interactive games,
Test yourself, Topic tests
(CD-ROM)
SkillSHEETs (page 94)
3.1: Finding the mean of a
small set of data
3.2: Finding the median of
a small set of data
3.3: Finding the mode of a
small set of data
3.4: Finding the mean,
median and mode from a
stem and leaf plot
3.5: Presenting data in a
frequency distribution
table
3.6: Drawing statistical
graphs
Technology applications
(CD-ROM)
Learning outcomes
DS4.2
 finding measures of
location (mean, mode,
median) for small sets
of data
 using measures of
location to analyse
data that is displayed
in a stem-and-leaf plot
DS4.1
 using a tally to
organise data into a
frequency distribution
table
 drawing frequency
histograms and
polygons
DS5.1.1
1

Measures of central
tendency (page 95)
Ungrouped data (page 95)
WE 1a-c, 2a-c, 3a-d, 4a-d
Ex 3A Ungrouped data
(page 99)
GC tip  Casio: Finding
the mean, median and
mode of data presented
in a single list (page 96)
GC tip  Casio: Finding
the mean, median and
mode of data in a
frequency distribution
table (page 98)
SkillSHEET 3.1: Finding
the mean of a small set of
data (page 99)
SkillSHEET 3.2: Finding
the median of a small set
of data (page 99)
SkillSHEET 3.3: Finding
the mode of a small set
of data (page 99)
SkillSHEET 3.4: Finding
the mean, median and
mode from a stem-andleaf plot (page 100)
GC tip  TI: Finding the
mean, median and mode
of data presented in a
single list (page 96)
GC tip  TI: Finding the
mean, median and mode
of data in a frequency
distribution table
(page 98)
Mathcad: Measures of
central tendency
(page 100)
Excel: Finding the median
(page 100)
Excel: Finding the median
(DIY) (page 100)
Excel: Finding the mode
(page 100)
Excel: Finding the mode
(DIY) (page 100)
Excel: Calculating the
mean from a frequency
distribution table
(page 101)
Excel: Calculating the
mean from a frequency
distribution table (DIY)
constructing a
cumulative frequency
table for ungrouped
data
 constructing a
cumulative frequency
histogram and polygon
(ogive)
DS4.2
 finding measures of
location (mean, mode,
median) for small sets
of data
 using measures of
location (mean, mode,
median) to analyse
data that is displayed
in a frequency
distribution table,
stem-and-leaf plot, or
dot plot
 drawing conclusions
based on the analysis of
data using the mean,
mode and/or median
(Applying strategies,
Reasoning)
 questioning when it is
more appropriate to use
the mode or median,
rather than the mean,
when analysing data
(Questioning)
2
Grouped data (page 102)
WE 3a-b, 4
Ex 3B Grouped data
(page 105)
GC tip  Casio: Finding
the mean (or other key
statistics) for grouped
data (page 104)
Maths Quest challenge:
Q1-3 (page 109)
Code puzzle (page 110)
Career profile: Graham de
Hoedt (page 111)
Measures of spread
(page 112)
WE 5, 6, 7, 8
Ex 3C Measures of spread
(page 116)
GC tip  Casio: Finding
the range and
interquartile range
(page 115)
10 Quick Questions 1
(page 119)
Box-and-whisker plots
(page 119)
GC tip  Casio: Drawing a
SkillSHEET 3.5:
Presenting data in a
frequency distribution
table (page 108)
SkillSHEET 3.6: Drawing
statistical graphs
(page 108)
Game time 001 (page 109)
WorkSHEET 3.1
(page 109)
Game time 002 (page 126)
WorkSHEET 3.2
(page 101)
GC program  Casio: UV
stats (page 101)
GC program  TI: UV
stats (page 101)
GC tip  TI: Finding the
mean (or other key
statistics) for grouped
data (page 104)
GC tip  TI: Finding the
range and interquartile
range (page 115)
Mathcad: Measures of
spread (page 116)
GC program  Casio: UV
stats (page 116)
GC program  TI: UV
stats (page 116)
GC tip  TI: Drawing a
DS5.1.1
 grouping data into
class intervals
 constructing a
frequency table for
grouped data
 constructing a
histogram for grouped
data
 constructing a
cumulative frequency
histogram and polygon
(ogive)
 using a cumulative
frequency polygon to
find the median
 finding the mean using
the class centre
 finding the modal class
DS5.2.1
 determining the upper
and lower quartiles for
a set of scores
DS5.2.1
3
WE 9a-c, 10a-c
Ex 3D Box-and-whisker
plots (page 123)
box-and-whisker plot and
finding the five-point
summary (page 122)
The standard deviation
GC tip  Casio: Finding
(page 126)
the standard deviation of
WE 11a-b, 12
a data set (page 126)
Ex 3E The standard
deviation (page 128)
Comparing data sets
Investigation: Using a
(page 131)
spreadsheet to compare
WE 13a-c, 14a-c
daily temperatures
Ex 3F Comparing data sets
(page 136)
(page 133)
10 Quick Questions 2
(page 137)
(page 126)
box-and-whisker plot and
finding the five-point
summary (page 122)
Excel: Box-and-whisker
plots (page 124)
GC program  Casio: UV
stats (page 124)
GC program  TI: UV
stats (page 124)
GC tip  TI: Finding the
standard deviation of a
data set (page 126)
Excel: Comparing daily
temperatures (page 136)

determining the upper
and lower quartiles for
a set of scores
 constructing a boxand-whisker plot using
the median, the upper
and lower quartiles and
the extreme values (the
‘five-point summary’)
DS5.2.1
 finding the standard
deviation of a set of
scores using a
calculator
DS5.2.1
 constructing a box-andwhisker plot using the
median, the upper and
lower quartiles and the
extreme values (the
‘five-point summary’)
 finding the standard
deviation of a set of
scores using a
calculator
 using the mean and
standard deviation to
compare two sets of
data
 comparing the relative
merits of measures of
spread: range,
interquartile range,
standard deviation
4
Skewness (page 138)
WE 15a-c, 16a-b
Ex 3G Skewness
(page 140)
Summary (page 143)
Chapter review (page 144)
Investigation: Drug test
analysis (page 142)
WorkSHEET 3.3
(page 142)
 comparing two or more
sets of data using boxand-whisker plots
drawn on the same
scale (Applying
strategies)
DS5.2.1
 using the terms
‘skewed’ or
‘symmetrical’ when
describing the shape of
a distribution
 using histograms and
stem-and-leaf plots to
describe the shape of a
distribution
(Communicating)
 recognising when a
distribution is
symmetrical or skewed,
and discussing possible
reasons for its shape
(Communicating,
Reasoning)
‘Test yourself’ multiple
choice questions
Topic tests (2)
5