Statistics Home

1) Start the investigation: Define the Problem, Define the Population, Define the Variables.

2) Data Collection: Organise the research, Decide on a sampling method, Collect the raw data.

3) Data Display: Summarise data into tables, Draw appropriate graphs.

4) Data Analysis: Measures of central tendancy (averages: mean, median, mode) Measures of spread (range, interquartile range)

5) Evaluation: Comment on graphs, Comment on analysis, Draw conclusions, Suggest possible sources of error, Suggest improvements.

Achievement Standard | Overview | Class notes, Blank notes

pg

Assessment Criteria

pg 76, 77

How does group 'A' COMPARE with group 'B'
Appropriate graphs: Box and Whisker (Ungrouped Data) or Double Column Bar graphs (Grouped Data)

What is the RELATIONSHIP between variable 'C' and variable 'D' for the same group
Appropriate graphs: Scatter plot

Data types: Discrete and Continuous

Class notes, Blank notes

Worksheet practicing writing statistical Questions

pg261

1) Measures of Central Tendancy (AVERAGE)
MEAN: (add up the data values then divide by how many values there are)
MEDIAN: Middle value in an ordered list.
MODE: Most common value.

UPPER QUARTILE: the data value which is ³/₄ of the way through an ordered list.

LOWER QUARTILE: the data value which is ¹/₄ of the way through an ordered list.

2) Measures of Spread.
RANGE: Largest value (maximum) subtract the smallest value (minimum)
INTERQUARTILE RANGE: Upper Quartile subtract the Lower Quartile.

Measures of Central Tendancy
Class notes, Blank notes

Measures of Spread
Class notes, Blank notes

pg262
Calculating the mean, median, mode:
Ex 20.01 pg264

Collating data into frequency tables.

Discrete Data & Bar Graphs.
Grouped Discrete Data.
Grouped Continuous Data & Histographs

Calculating the mean, median, & mode from frequency tables for both discrete and continuous data tables.

Central Tendancy from grouped data
Class notes, Blank notes

pg266
Calculating the mean from frequency tables:
Ex 20.02 pg268

Mr Hardknuckles
Mr Hardknuckles Class
Shoe Sizes of 30 Men

Collating data into a stem and leaf plot.

Back-to-back stem and leaf plots.

Calculating the Mean, Median, Mode, Range, Upper Quartile, Lower Quartile, Interquartile Range from a stem and leaf plot.

Quartiles and stem and leaf plots
Class notes, Blank notes

pg270

Making a box and whisker plot.

Using data in a stem and leaf to produce a box and whisker plot.

Quartiles and stem and leaf plots
Class notes, Blank notes

pg 273
Constructing box and whisker graphs:
Ex 20.03 pg273

Making a box & whisker graph

COMPARING groups using box and whisker plots and drawing conclusions.

Comparing using Double Column Bar graphs (for Grouped Data)

Comparing box and whisker plots
Class notes, Blank notes

pg281
Ex 21.01 pg284

1) Pose a suitable research question.

2) Complete analysis (include measures of central tendancy and spread)

3) Construct a suitable graph.

4) Answer your research question generally. Back up your answer with evidence.

Class notes, Blank notes

Constructing Pie Graphs.

Pictographs, Line graphs

Class notes, Blank notes

Ex20.04 pg278

Pie graph | Graphs & Charts

Java application to make a bar graph | pie graph

Constructing and discussing misleading graphs.

Misleading Graphs
Class notes, Blank notes

Ex20.05 pg279

Misleading Graphs

Constructing scatter plots.

Drawing conclusions from scatter plots:
Positive Relatonship, Negative Relationship
Strong or weak Relationship.
Even scatter?

Scatter plots
Class notes, Blank notes

pg287

Ex 21.02 pg289

 Line of best fit

Scatterplot Example
Pipi Shells

Constructing time series graphs

Analysing time series graphs, discussing long term trends, seasonal cycles, and short term changes.

Time series
Class notes, Blank notes

pg295

Ex 21.03 pg296

Hints:
Read the question!
Chect the graph Title, Units, Keys eg 1000's of people.

Ex 21.05 pg303

How to take a sample

Class notes, Blank notes

Tall Ted, Basketball Bob.

Crime stats sheet.

Birth weight analysis

Tall ted: Class notes, Blank notes

pg307

Mixed Stats Powerpoint

Tall ted Example