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Students learn how to calculate the mean, median, mode and range of discrete and continuous data. They use these to compare distributions and analyse sets of data. Learning progresses from working with data in a list to data presented in a grouped frequency table.

This unit takes place in Year 9 Term 3 and is followed by representing data

- 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.

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

apply statistics to describe a population

- It helps to teach students to associate the sound of median and mode to middle and most.
- The range is not an average but a measure of spread.
- Illustrate the concept of the mean average as shown below.

- 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.

- Students tend to confuse the median, mode and mean averages.
- The range is often incorrectly thought of as a type of average.
- 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.

July 6, 2019

Earlier this week, my school took part in a trial OFSTED inspection as part of getting ready for the new inspection framework in September 2019. This involved three Lead Inspectors visiting our school over the course of two days. The first day involved a ‘deep dive’ by each of the Lead Inspectors into Mathematics, English […]

June 30, 2019

The method of how to solve quadratics by factorising is now part of the foundational knowledge students aiming for higher exam grades are expected to have. Here is an example of such a question. Solve x2 + 7x – 18 = 0 In my experience of teaching and marking exam papers students often struggle with […]

June 24, 2019

When learning how to write 3-part ratios students need to understand how ratios can be made equivalent. The start of the lesson reminds students by asking which of six ratios is the odd one out. This is presented to the class as they come into the lesson. Writing Equivalent Ratios A few students immediately go […]