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Sections2-3&4 - Histograms-Statistical Graphics A....

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Histograms-Statistical Graphics A. Bourhim Syracuse University MAT121-Fall 2011 A. Bourhim (Syracuse University) Histograms-Statistical Graphics MAT121-Fall 2011 1 / 14
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Histograms A histogram is a graph consisting of bars of equal width drawn adjacent to each other (without gaps), and is used to analyze the shape of the distribution of the data. The horizontal scale represents the classes and the vertical scale represents the frequencies. The heights of the bars correspond to the frequency values. How to construct a histogram Construct a frequency table. Find all class boundaries. On the horizontal axis put the class boundaries and on the vertical axis put frequencies. Above each interval put a bar of height equal to the corresponding frequency. Note Instead of class boundaries, you can use class midpoints. In this case, you should place each class midpoint in the middle of its corresponding class. You may also use lower class limits in place of class boundaries. A. Bourhim (Syracuse University) Histograms-Statistical Graphics MAT121-Fall 2011 2 / 14
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For the first table, the class boundaries are given on the left side in blue. Class Boundaries Class Frequency 0.5 01-10 2 10.5 11-20 3 20.5 21-30 1 30.5 31-40 4 40.5 41-50 2 50.5 51-60 7 60.5 61-70 14 70.5 71-80 23 80.5 81-90 43 90.5 91-100 21 A. Bourhim (Syracuse University) Histograms-Statistical Graphics MAT121-Fall 2011 3 / 14
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Histogram Frequencies Scores (Histogram) 0 5 10 15 20 25 30 35 40 45 50 0.5 10.5 20.5 30.5 40.5 50.5 60.5 70.5 80.5 90.5 100.5 A. Bourhim (Syracuse University) Histograms-Statistical Graphics MAT121-Fall 2011 4 / 14
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Histogram Frequencies Scores (Lower class limits are used instead of class boundaries)
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This note was uploaded on 10/06/2011 for the course MAT 121 taught by Professor Quinn during the Fall '08 term at Syracuse.

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Sections2-3&4 - Histograms-Statistical Graphics A....

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