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Students how to calculate the mode, median, mean and range from a set of data in a list and stem and leaf diagram. As learning progresses they use these measures of location to compare two or more distributions.

This unit takes place in Term 2 of Year 7 and is followed by representing and interpreting statistical diagrams.

- Solve comparison, sum and difference problems using information presented in a line graph
- Complete, read and interpret information in tables, including timetables.
- Interpret and construct pie charts and line graphs and use these to solve problems
- Calculate and interpret the mean as an average.

- The mode is the most common item in a set of data. It is the only average that can be used for qualitative data. A data set can have two modes. This is called bi-modal.
- People often refer to the mean when using the word ‘average’. It is the sum of the data divided by the sample size. The mean takes into account every piece of data.
- The median is the middle number when all the numbers have been put into ascending order. The median can be between two numbers.
- The range is the difference between the largest and smallest data values. The range is a measure of distribution or consistency.
- To compare data sets students should use the range and one or more of the averages.
- A key is critical to interpreting stem and leaf diagrams.

Develop fluency

- Select and use appropriate calculation strategies to solve increasingly complex problems

Reason mathematically

- Explore what can and cannot be inferred in statistical settings, and begin to express their arguments formally.

Solve problems

- Begin to model situations mathematically and express the results using a range of formal mathematical representations.

__Statisitics__

- Describe, interpret and compare observed distributions of a single variable through: appropriate graphical representation involving discrete, continuous and grouped data; and appropriate measures of central tendency (mean, mode, median) and spread (range, consideration of outliers)

October 26, 2018

In my experience, students, in general, find the concept of a mean straightforward to calculate and understand. However, the mean alone does not provide a complete picture of a set of data. To achieve this, a measure of spread is also required. The range is the simplest measure that can be used for this. Not […]

October 1, 2018

Solving problems with angles in parallel lines is like solving a murder mystery. One clue leads on to the next and the next until the murderer is found. However, it doesn’t end there. The detectives need to explain their reasoning in court using the relevant laws and procedures should the murderer plead not guilty. If […]

September 10, 2018

An equation is when one expression, or term, is equal to another. To solve an equation means to find the value of the variable (represented by a letter) that makes the two expressions equal. There are two types of equations for secondary school mathematics, linear and none-linear. In this blog I write about how I […]