You will spend the next several sections learning about how to compare sets of categorical and numerical data, including data that is both discrete and continuous. Also, since a box-and-whisker plot analyzes individual data points, we know that the data must be discrete, and not continuous. Does the following graph represent categorical or numerical data? Is the data discrete or continuous?īox-and-whisker plots are considered numerical displays of data, as they are based on quantitative data (the mean and median), as well as the maximum (upper) and minimum (lower) values found in the data. Line graphs, frequency polygons, histograms, and stem-and-leaf plots all involve numerical data, or quantitative data, as is shown in the remaining graphs.Ģ. Therefore, when you talk about discrete and continuous data, you are talking about numerical data. Numerical data involves measuring or counting a numerical value.
The top 2 graphs are examples of categorical data represented in these types of graphs. Graphs such as pie charts and bar graphs show descriptive data, or qualitative data. Thus, the value 43.2 is rounded to 43 and represented with a stem of 4 and a leaf of 3.
Since stem and leaf displays can only portray two whole digits (one for the stem and one for the leaf), the numbers are first rounded. These data forms are more qualitative data and, therefore, are less numerical than they are descriptive. The data are displayed with stems and leaves in Figure 2.2.3.4. These are data forms that are in categories and describe characteristics, or qualities, of a category. Categorical data forms are just what the term suggests. Which of the following graphs represent categorical, or qualitative, data? Which represent numerical, or quantitative, data?Ģ newer terms used are the categorical and numerical data forms. Recognizing the Type of Data Graphs Representġ.
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