Statistics - notes, use of TI-83

Use of TI-83:

• help sheet
• online tutorial

The statistics notes provided deal with the concepts and techniques described below. You should choose techniques to demonstrate important features of the data and be prepared to comment on the limitations of a particular technique.
 

Collecting and organising data

• What are the variables?
• Is a variable ordinal/quantitative or nominal/qualitative?
• Is a variable discrete or continuous?
• What is the frequency of ...?
• What is the relative frequency of ...?
• Produce an ungrouped frequency distribution.
• Produce a grouped frequency distribution.
• For grouped data, what are the class intervals, class boundaries, class width and class midpoints?

• Make a stem plot.
• Make a back to back stem plot.
• Draw a stem plot for different class widths.
• Find the quartiles from a list or stem plot.
• Find percentiles and deciles from a list or stem plot.

• Draw a bar graph.
• Draw a dot plot.
• Draw a histogram.
• Draw a frequency polygon.

• Produce a cumulative frequency distribution showing cumulative frequencies or cumulative percentages.
• Draw a cumulative frequency polygon or cumulative percentage polygon.
• Draw an ogive.
• Find the quartiles from a cumulative frequency polygon, cumulative percentage polygon or ogive.
• Find percentiles and deciles from a cumulative frequency polygon, cumulative percentage polygon or ogive.

• Find measures of central tendency (mode, median and mean) from a list or stem plot.
• Find measures of central tendency (median and mean) from a grouped frequency distribution.
• Decide which measure of central tendency is appropriate for the data.

• Produce a five-number summary.
• Find the range.
• Find the interquartile range.
• Draw a box plot.
• Draw a modified box plot.
• Find the variance.
• Find the standard deviation.
• Find the sample variance.
• Find the sample standard deviation.