Stem & leaf, Bar graphs, and Histograms

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Stem & leaf, Bar graphs, and Histograms

  1. 1. Stem and Leaf PlotConsists of Numbers on the left, called the stem (does not include the ones place) Numbers on the right, called the leaf (ones place)Works well when the data contains more than 25 elements; the data is collected in a frequency table; the data values span many “tens” of values.
  2. 2. Stem and Leaf Plot1, 5 , 5 , 8 , 8 , 8 , 10 , 12 , 12 , 13 , 14 ,2 0 , 2 3 , 5 9 , 8 2 , 112 stem leaf
  3. 3. Advantages of Stem and Leaf Plots It can be used to quickly organize a large list of data values. It is convenient to use in determining median or mode of a data set quickly. Outliers, data clusters, or gaps are easily visible. Disadvantages of Stem and Leaf Plots A stem and leaf plot is not very informative for a small set of data.
  4. 4. Bar GraphConsists of bars of the same width drawn either horizontally or vertically; bars whose length (or height) represents the frequencies of each value in a data set.Works well when the data is numerical or categorical; the data is discrete; the data is collected using a frequency table.
  5. 5. Bar Graph Example
  6. 6. Advantages of Bar Graphs The mode is easily visible. A bar graph can be used with numerical or categorical data. Disadvantages of Bar Graphs A bar graph shows only the frequencies of the elements of a data set.
  7. 7. HistogramConsists of e q u a l i n t e r v a l s marked on the horizontal axis; bars of equal width drawn for each interval (There is n o s p a c e between the bars.)Works well when the data has a really big range there is one set of data the data is collected using a frequency table.
  8. 8. Histogram Example 70-74 75-79 80-84 85-89 90-94 95-99
  9. 9. Advantages of Histograms  A histogram provides a way to display the frequency of occurrences of data along an interval. Disadvantages of Histograms The use of intervals prevents the calculation of an exact measure of central tendency.

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