Representing and Interpreting Data

Learning Goals & Success Criteria

Summarising data: measures of centre

Learning goal

By the end of the lesson I will be able to summarise data using measures of centre.

Success criteria

I am able to:

· calculate the mean of a listed set of data

· calculate the median of a listed set of data

· calculate the mode (if appropriate) of a listed set of data

· calculate a missing datum from a listed set of data for a given mean

· calculate a missing datum from a listed set of data for a given median

· calculate a possible set of data for a given mean, median and mode

Stem-and-leaf plots (Note this refers to orderedstem and leaf plots)

Learning goal

By the end of the lesson I will be able to identify a stem and leaf plot and use one to summarise data graphically

Success criteria

I am able to:

· construct a stem and leaf plot to represent a set of data

· construct a back to back stem and leaf plot to represent and compare two sets of data

· use a stem and leaf plot to identify the shape of a data set as symmetrical, negatively skewed or positively skewed

· calculate the mean of a set of data given in a stem and leaf plot

· calculate the median of a set of data given in a stem and leaf plot

· calculate the mode of a set of data given in a stem and leaf plot

Grouped data

Learning goal

By the end of the lesson I will be able to summarise data using different displays and appropriate class intervals.

Success criteria

I am able to:

· construct a frequency table that represents a set of data

· construct a frequency table that represents a set of data using class intervals

· draw a histogram to represent a set of data using class intervals

· calculate percentage frequency and include in frequency table and represent by a histogram using class intervals

Measures of spread

Learning goal

By the end of the lesson I will be able to represent the spread of data using appropriate measures.

Success criteria

I am able to:

· calculate the minimum value of a listed set of data

· calculate the lower quartile value of a listed set of data

· calculate the median value of a listed set of data

· calculate the upper quartile value of a listed set of data

· calculate the maximum value of a listed set of data

· calculate the range of a listed set of data by using the maximum and minimum values

· calculate the inter-quartile range of a listed set of data by using the upper and lower quartile values

· identify any outliers for a listed set of data

Box plots

Learning goal

By the end of the lesson I will be able to identify a box plot and use one to summarise data graphically.

Success criteria

I am able to:

· identify the five figure summary from a box plot

· calculate the five figure summary from a listed set of data

· construct a box plot to represent a set of data (including outliers)

· compare two or more sets of data by interpreting parallel box plots

Victorian Curriculum

• Identify everyday questions and issues involving at least one numerical and at least one categorical variable, and collect data directly from secondary sources (VCMSP324)
• Construct back-to-back stem-and-leaf plots and histograms and describe data, using terms including ‘skewed’, ‘symmetric’ and ‘bi modal’ (VCMSP325)
• Compare data displays using mean, median and range to describe and interpret numerical data sets in terms of location (centre) and spread (VCMSP326)

Text Exercises