If this were a mass plot in particle physics, we'd say the mass is understood with good precision. Thus it can be said that deviations in this data group from the mean are of low frequency. While there are "outlyers," they are of relatively low frequency. This plot represents data with a well-defined peak that is close in value to the median and the mean. To get an idea, look at these three histograms:
Of course, 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. Note that the median is 25 and that there is no mode the mean is 26.5. The Shodor histogram activity allows you to change the bin size for a data set and the impact on the curve. Note: Changing the size of the bin changes the apprearance of the graph and the conclusions you may draw from it. In this case, with a bin width of 10, we can easily group the data as below.
Instead we bin the data into convenient ranges. A graph which shows how many ones, how many twos, how many threes, etc. We graph groups of numbers according to how often they appear. Histograms: Construction, Analysis and UnderstandingĬonservation Laws - Data Analysis Using Graphs - Histograms - Units or Vectors in Particle PhysicsĪ 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."
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