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Maths Quest General Mathematics NSW HSC Course

Work Program

Chapter 4: Interpreting sets of data

DA5: Data Analysis

Section

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Content

/ GC tips, Investigations, 10Quick Questions / SkillSHEETS, WorkSHEETS, Test yourself, Topic Tests
(CD-ROM) / Technology applications (CD-ROM) / Prescribed skills, knowledge and understanding
Are you ready? (page130) / SkillSHEETs (page 130)
4.1:Finding the mean
4.2:Finding the mode
4.3:Finding the median
4.4:Finding the range
4.5:Finding the interquartile range
4.6:Choosing the appropriate standard deviation
4.7:Compiling a stem-and-leaf-plot
4.9:Drawing a box-and-whisker-plot
Measures of location and spread (page131)
WE 1, 2, 3, 4
Ex 4A Measures of location and spread (page 136) / Statistical measures
  • calculating mean and median
  • calculating and interpreting range interquartile range and standard deviation
  • determining the effect of outliers on mean, median and mode
/ GC tip — Casio: Finding all summary statistics (page 132) / SkillSHEET 4.1: Finding the mean (page 136)
SkillSHEET 4.2: Finding the mode (page 136)
SkillSHEET 4.3: Finding the median (page 136)
SkillSHEET 4.4: Finding the range (page 137)
SkillSHEET 4.5: Finding the interquartile range (page137)
SkillSHEET 4.6: Choosing the appropriate standard deviation (page 137) / Excel: One variable statistics (page 136)
GC program — Casio: UV Stats (page 137)
GC program — TI: UV Stats (page 137)
Excel: Boxplots (page 137) /
  • identifying measures of location as mean and median
  • identifying measures of spread as range, interquartile range and standard deviation
  • investigating outliers in small data sets and their effects on the mean, median and mode

Skewness (page 140)
WE 5, 6
Ex 4B Skewness (page 142) / Skewness
  • investigating symmetry of distributions and describing skewness
/ 10 Quick Questions 1 (page 145) / WorkSHEET 4.1 (page 144) /
  • describing the general shape of a graph or display which represents a given data set, e.g. in terms of smoothness, symmetry or number of modes
  • making judgements about the data based on observed features of the display such as shape and skewness

Displaying multiple data sets (page 145)
WE 7, 8, 9, 10
Ex 4C Displaying multiple data sets (page 150)
Computer application 1: Displaying statistical data (page 152) / Multiple data sets
  • interpreting data from a back-to-back stem and leaf plot
  • creating such plots
  • displaying data on a radar chart
  • displaying data on an area chart
/ Investigation: Examining exam results (page 146)
GC tip — Casio: Storing multiple data sets (page147) / SkillSHEET 4.7: Compiling a stem-and-leaf-plot (page150)
SkillSHEET 4.8: Finding the mean, median, mode from a stem-and-leaf-plot (page150)
SkillSHEET 4.9: Drawing a box-and-whisker-plot (page150) / Computer Application 1: Displaying statistical data (page 152) /
  • displaying data in double (back-to-back) stem-and-leaf plots
  • displaying data in two box-and-whisker plots drawn on the same scale
  • displaying two sets of data on a radar chart
  • preparing an area chart to illustrate and compare different sets of data over time

Comparison of data sets (page 152)
WE 11, 12, 13
Ex 4D Comparison of data sets (page155) / Comparison of data sets
  • calculating mean, median, range and standard deviation from multiple displays
  • examining and interpreting data presented in a two-way table form
/ Investigation: Developing a two-way table (page159) / WorkSHEET 4.2 (page 159) /
  • using multiple displays to describe and interpret relationships with data sets
  • interpreting data presented in two-way table form, e.g. male/female versus exercise/no exercise
  • comparing summary statistics from two sets of data

Summary (page 160)
Chapter review (page161)
Practice examination questions (page 165) / ‘Test yourself’ multiple choice questions (page 166)
Topic tests (2)