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Graphical representation of ungrouped data:*1 pointHistogramFrequency PolygonLine GraphBar Graph

Question

Graphical representation of ungrouped data:

  • Histogram
  • Frequency Polygon
  • Line Graph
  • Bar Graph
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Solution

The graphical representation of ungrouped data can be done using several types of graphs. Here's a step-by-step guide on how to use each one:

  1. Histogram:

    • First, determine the range of the data set.
    • Next, divide this range into equal intervals, these are your bins.
    • Count how many data points fall into each bin. This is the frequency.
    • Draw the bins on the x-axis and the frequency on the y-axis. Each bin is represented by a vertical bar. The height of the bar corresponds to its frequency.
  2. Frequency Polygon:

    • Start by creating a frequency table for your data.
    • Plot the midpoints of each interval on the x-axis and the corresponding frequency on the y-axis.
    • Connect the points with straight lines.
  3. Line Graph:

    • Plot each data point on a two-dimensional graph.
    • The x-axis represents the independent variable and the y-axis represents the dependent variable.
    • Connect the points with a line.
  4. Bar Graph:

    • Each category of data is represented by a bar.
    • The length or height of the bar represents the quantity of the data.
    • The categories can be plotted on the x-axis and the quantities on the y-axis, or vice versa.

Remember, the choice of graph depends on the nature of your data and what you want to illustrate.

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