Statistical Measures

Students learn how to calculate averages with discrete and continuous data from stem and leaf diagrams and frequency tables..  They use these to compare distributions and analyse sets of data.

This unit takes place in Year 9 Term 1 and is followed by representing data using diagrams.


Statistical Measures Lessons
Revision Lessons
Prerequisite Knowledge
  • Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs.
  • Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.
Success Criteria
  • Interpret, analyse and compare the distributions of data sets from univariate empirical distributions through:
  • Appropriate graphical representation involving discrete, continuous and grouped data
  • Appropriate measures of central tendency (median, mean, mode and modal class) and spread
  • Construct and interpret stem and leaf diagrams
  • Apply statistics to describe a population
Key Concepts
  • A frequency table is used when the sample size increases beyond simple calculations being possible from a list.
  • The median average of a class width is used as the mid-pint when calculating the mean from grouped data.
Common Misconceptions
  • Students often find it difficult to calculate the median average from data presented in a frequency table.
  • When sorting continuous data into a grouped data table students often struggle to fully understand the inequality notation.

Leave a Reply

Your email address will not be published. Required fields are marked *

You may use these HTML tags and attributes:

<a href="" title=""> <abbr title=""> <acronym title=""> <b> <blockquote cite=""> <cite> <code> <del datetime=""> <em> <i> <q cite=""> <s> <strike> <strong>

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Mr Mathematics Blog

Problem Solving – Numerical Methods

Students are challenged to apply the rules of arithmetic to a series of real-life, functional problems.

Problem Solving with Averages

Students are challenged to apply their understanding of the mean, mode, median and range to calculate datasets by setting up and solving equations.

Problem Solving with Compound Percentages

Five, real-life and functional problem solving questions on compound percentage changes.