Summarising data can help you make the most of numbers by spotting and understanding patterns and pictures.
Essential facts about summarising data
- The average is an important reference point. How something compares to the average, is usually the first thing to think about.
- Different ways of measuring the average end up with different results and you need to think about this before drawing conclusions.
- The mean average is the most often used type of average - but for some types of data the median, mode or frequencies might work better.
- Knowing about the average, the dispersion and polarity of the data can help draw conclusions about how well an authority is doing.
- The way a set of data is distributed can help you understand the make up of the data and where a specific value lies within the data.
- Often you can draw a conclusion about a data value by finding out which quartile it lies in.
- Box-plots and histograms are a useful way of quickly illuminating how a dataset is distributed. For example, if it has a normal distribution, or is skewed.
- Using the standard deviation will allow you to look at the distribution of the data, - and also identify outliers and unusual values.
- Sometimes there are too many data values to use - so you need to sample. If you do you will need to know about confidence intervals.