Histograms - Higher only – WJECInterpreting distributions from histograms

Histograms are a way of representing data. They are like bar charts, but show the frequency density instead of the frequency. They can be used to determine information about the distribution of data.

Part of MathsStatistics

Interpreting distributions from histograms

The shape of a histogram can tell us some key points about the distribution of the data used to create it. It can tell us the relationship between the mean and the median, and also allow us to describe the dispersion of the data.

An almost symmetrical histogram.

The mean and median of the data are roughly the same and are approximately at the centre of the data. The rest of the data is evenly dispersed on either side of the mean.

Skewed histograms

Positive skewed histograms

A positive skewed histogram suggests the mean is greater than the median. More of the data is towards the left-hand side of the distribution, with a few large values to the right.

A positive skewed histogram with more of the data towards the left hand side.

Negative skewed histograms

A negative skewed histogram suggests the mean is less than the median. More of the data is towards the right-hand side of the distribution, with a few small values to the left.

A negative skewed histogram with more of the data towards the right hand side.