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| === What is a histogram? === | | === What is a histogram? === |
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| A histogram is a plot | | A histogram is a plot |
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| and the raw data it was constructed from, is shown below: | | and the raw data it was constructed from, is shown below: |
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| [[File:KOER-%20Mathematics%20-%20Statistics_html_6201ec25.png]] | | [[File:KOER-%20Mathematics%20-%20Statistics_html_6201ec25.png]] |
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| 67 45 22 48 91 46 | | 67 45 22 48 91 46 |
| 52 61 58 55 | | 52 61 58 55 |
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| === How do you construct a histogram from a continuous variable? === | | === How do you construct a histogram from a continuous variable? === |
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| To construct a | | To construct a |
| histogram from a continuous variable you first need to split the data | | histogram from a continuous variable you first need to split the data |
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| the frequencies in each bin have been tabulated along with the scores | | the frequencies in each bin have been tabulated along with the scores |
| that contributed to the frequency in each bin (see below): | | that contributed to the frequency in each bin (see below): |
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| Bin Frequency Scores | | Bin Frequency Scores |
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| 90-100 1 91 | | 90-100 1 91 |
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| Notice that, unlike a | | Notice that, unlike a |
| bar chart, there are no "gaps" between the bars (although | | bar chart, there are no "gaps" between the bars (although |
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| decide whether you round up or round down scores on the boundaries of | | decide whether you round up or round down scores on the boundaries of |
| bins) | | bins) |
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| === Choosing the correct bin width === | | === Choosing the correct bin width === |
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| There is no right or | | There is no right or |
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| following histograms use the same data but have either much smaller | | following histograms use the same data but have either much smaller |
| or larger bins, as shown below: | | or larger bins, as shown below: |
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| [[File:KOER-%20Mathematics%20-%20Statistics_html_75ab55c3.png]] | | [[File:KOER-%20Mathematics%20-%20Statistics_html_75ab55c3.png]] |
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| We can see from the | | We can see from the |
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| data. | | data. |
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| Histograms are based on | | Histograms are based on |
| area not height of bars | | area not height of bars |
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| In a histogram, it is | | In a histogram, it is |
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| spaced bars (bins) and, under these circumstances, the height of the | | spaced bars (bins) and, under these circumstances, the height of the |
| bin does reflect the frequency. | | bin does reflect the frequency. |
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| === What is the difference between a bar chart and a histogram? === | | === What is the difference between a bar chart and a histogram? === |
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| nominal data sets. | | nominal data sets. |
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| == Circle or Pie Chart == | | == Circle or Pie Chart == |
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