Comparing and Summarising Data

Scheme of work: Key Stage 3: Year 7: Term 2: Comparing and Summarising Data

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)