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Figures and Graphs

Figures and Graphs. Frequency Distributions. Example: Scores on a quiz 6,2,5,6,5,4,6,7,6,6,8, 5,6,3,7,6,8,3,6,5,4,5, 8,6,5,6,2,7,6,5,6,4,6, 3,5,6,9,5,6,3,5,7,4,7, 7,4,7,4,8,4,9,7,8,4. The green or shaded area represents the total number of scores or the total area of the histogram.

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Figures and Graphs

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  1. Figures and Graphs Frequency Distributions Example: Scores on a quiz 6,2,5,6,5,4,6,7,6,6,8, 5,6,3,7,6,8,3,6,5,4,5, 8,6,5,6,2,7,6,5,6,4,6, 3,5,6,9,5,6,3,5,7,4,7, 7,4,7,4,8,4,9,7,8,4

  2. The green or shaded area represents the total number of scores or the total area of the histogram.

  3. If the y axis was not labeled, the area of the Raw Score “6” column would represent the proportion of the students with a score of 6.

  4. Distortions Using Histograms Always look at the X and Y scales. Total areas or total number of scores are different.

  5. Cumulative Distribution Frequency Histogram Cumulative Histogram * Same data is used for both histograms

  6. Types of Distributions Unimodal & Normal Bimodal

  7. Unimodal Distributions Mode on left: positively skewed Mode in Centre: Normal Mode on right: negatively skewed

  8. Kurtosis Distribution with the tallest mode is Leptokurtic The distribution with the tallest mode is Leptokurtic. The distribution with the next tallest mode is Normal or Mesokurtic. The flattest distribution is Platykurtic.

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