Chapter 12 Summary Statistics

2

WORK PROGRAM

Chapter 12 Summary statistics

Strands: Data, Number

Substrands and outcomes:

Data DS3.1 Displays and interprets data in graphs with scales of many-to-one correspondence

Data analysis and evaluation DS4.2 Collects statistical data using either a census or 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

Whole numbers NS3.1 Orders, reads and writes numbers of any size

Section / GC tips, Investigations, History of mathematics, Maths Quest challenge, 10 Quick Questions,
Code puzzles,
Career profiles / SkillSHEETs, WorkSHEETs, Interactive games, Testyourself, Topic tests
(CD-ROM) / Technology applications
(CD-ROM) / Learning outcomes
Are you ready? (page 446) / SkillSHEETs (page 446)
12.1: Finding the mean
12.2: Arranging a set of data in ascending order
12.3: Finding the middle score of a set of data
12.4: Finding the middle score for data arranged in a stem-and-leaf plot
12.5: Finding the middle score for data arranged in a dot plot
12.6: Finding the score in a data set that occurs most frequently / DS3.1
·  finding the mean for a small set of data
DS4.2
·  finding measures of location (mean, mode, median) for small sets of data
·  using measures of location (mean, mode, median) and the range to analyse data that are displayed in a stem-and-leaf plot or dot plot
NS3.1
·  ordering numbers of any size in ascending order
Measures of central tendency (page 447)
WE 1, 2, 3a–d, 4a–d
Ex 12A Measures of central tendency (page453) / GC tip — Casio: Finding the mean of a list of scores (page447)
GC tip — Casio: Finding the mean of data in a frequency distribution table (page449)
GC tip — Casio: Finding the median (page 451)
GC tip — Casio: Finding the mode (page 452)
10 Quick Questions 1 (page 456)
Code puzzle (page 457) / SkillSHEET 12.1: Finding the mean (page 453)
SkillSHEET 12.2: Arranging a set of data in ascending order (page454)
SkillSHEET 12.3: Finding the middle score of a set of data (page 454)
SkillSHEET 12.4: Finding the middle score for data arranged in a stem-and-leaf plot (page 454)
SkillSHEET 12.5: Finding the middle score for data arranged in a dot plot (page 454)
SkillSHEET 12.6: Finding the score in a data set that occurs most frequently (page 454)
WorkSHEET 12.1 (page456)
Game time 001 (page456) / GC tip — TI: Finding the mean of a list of scores (page447)
GC tip — TI: Finding the mean of data in a frequency table (page449)
GC tip — TI: Finding the median (page 451)
GC program — Casio: UV statistics (page 453)
GC program — TI: UV statistics (page 453)
Mathcad: Calculating the mean (page 453)
Excel: Calculating the mean from a frequency distribution table (page453)
Excel: Calculating the mean from a frequency distribution table DIY (page 453)
Mathcad: Measures of central tendency (page453)
Excel: Finding the median (page 454)
Excel: Finding the median DIY (page 454)
Excel: Finding the mode (page 454)
Excel: Finding the mode DIY (page 454) / DS4.2
·  finding measures of location (mean, mode, median) for small sets of data
·  using a scientific or graphics calculator to determine the mean of a set of scores
·  using measures of location (mean, mode, median) to analyse data that are displayed in a frequency distribution table, stem-and-leaf plot, or dot plot
Grouped data — mean and modal class (page 458)
WE 5a–b
Ex 12B Grouped data — mean and modal class (page 459) / 10 Quick Questions 2 (page 462) / WorkSHEET 12.2 (page461) / Mathcad: Finding the mean of grouped data (page 459)
GC program — Casio: UV statistics (page 459)
GC program — TI: UV statistics (page 459) / DS5.1.1
·  grouping data into class intervals
·  constructing a frequency table for grouped data
·  finding the mean using the class centre
·  finding the modal class
Using cumulative frequency to find the median (page 462)
WE 6a–b, 7a–c, 8
Ex 12C Using cumulative frequency to find the median (page 466) / Investigation: Route 407 (page 468) / WorkSHEET 12.3 (page468)
Game time 002 (page468) / Excel: Frequency and cumulative frequency graphs DIY (page 466)
Mathcad: Cumulative frequency (page 466)
GC program — Casio: UV statistics (page 466)
GC program — TI: UV statistics (page 466) / DS4.2
·  finding measures of location (mean, mode, median) for small sets of data
·  using a scientific or graphics calculator to determine the mean of a set of scores
·  questioning when it is more appropriate to use the mode or median, rather than the mean, when analysing data (Questioning)
DS5.1.1
·  constructing a cumulative frequency table for ungrouped data
·  constructing a cumulative frequency histogram and polygon (ogive)
·  using a cumulative frequency polygon to find the median
·  grouping data into class intervals
·  constructing a frequency table for grouped data
·  constructing a histogram for grouped data
·  finding the mean using the class centre
·  finding the modal class
·  reading and interpreting information from a cumulative frequency table or graph (Communicating)
Summary (page 469)
Chapter review (page 470) / ‘Test yourself’ multiple choice questions (page472)
Topic tests (2)