MYP 1 Standard Mathematics · Statistics and Probability · Updated

Histograms

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Why do histogram bars touch when bar chart bars do not?

You can lose marks fast here because the two graphs look almost like twins. The difference is not decoration , it comes from the kind of data you are showing. If your data are labels like sport, fruit, or eye colour, you want a bar chart. If your data are numbers measured on a scale like mass, height, time, or temperature, you usually want a histogram.

A histogram is built for numerical data grouped into intervals, and the bars join because the values run continuously from one interval to the next. A bar chart uses separate categories, so spaces stay between bars. In a histogram, what matters is the area of each bar, not just the height.

Definition

A histogram is a graph for numerical data split into class intervals, where the bars touch and each bar’s area shows the frequency or relative frequency.

A bar chart works differently. The bars are the same width, they are separated, and the height alone gives the frequency.

Definition

A bar chart shows how often different categories occur using equal-width bars with gaps between them, and the bar height gives the frequency.

The sneaky part is that some wrong graphs look close enough to fool you in a test. If the horizontal axis shows categories, it is not a histogram. If the data are continuous and the bars have gaps, that is also wrong.

Info

If you are unsure, ask yourself: are you sorting named groups, or are you grouping numbers into ranges? Named groups mean bar chart. Number ranges mean histogram.

Why do histogram bars touch when bar chart bars do not?
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