Histogram.......

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Histogram

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A histogram is "a representation of a frequency distribution by means of rectangles whose widths represent class intervals and whose areas are proportional to the corresponding frequencies What is a Histogram ?

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It was first introduced by Karl Pearson. In statistics a histogram is a graphical representation showing a visual impression of the distribution of data. Histogram

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The variate values are taken along X-axis and frequency along Y-axis and the rectangle is constructed. contd :-

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When there is a lot of data. When data is Continuous ( mass, height, volume, time etc) Presented in a Grouped Frequency Distribution usually in groups or classes that are UNEQUAL Why use a Histogram ?

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NO GAPS between Bars Continuous data

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Bars are different in width Determined by Grouped Frequency Distribution

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AREA is proportional to FREQUENCY NOT height, because of UNEQUAL classes So we use FREQUENCY DENSITY = Frequency Class width

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Example:- Draw a histogram for the distribution as shown in the table Data Range Frequency 0-10 1 10-20 3 20-30 6 30-40 4 40-50 2

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Histogram for the distribution of age

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Sensible Scales Bases correctly aligned Plot the Class Boundaries Heights correct Frequency Density Drawing

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Part of the power of histograms is that they allow us to analyze extremely large datasets by reducing them to a single graph that can show primary, secondary and tertiary peaks in data as well as give a visual representation of the statistical significance of those peaks. How Shall We Look at Histograms

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Histograms are a great way to show results of continuous data, such as: Weight Height How much time etc . conclusion

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Thank you Presente d by:- Sarika.Chougule