Introduction on learning examples of histograms:
In statistics, a histogram is a graphical display of tabular frequencies, shown as adjacent rectangles. Each rectangle is erected over an interval, with an area equal to the frequency of the interval. The height of a rectangle is also equal to the frequency density of the interval, i.e. the frequency divided by the width of the interval. The total area of the histogram is equal to the number of data. A histogram may also be based on the relative frequencies instead. It then shows what proportion of cases fall into each of several categories (a form of data binning), and the total area then equals 1.Procedure and learning example for drawing the histogram:
To draw the histogram for a given frequency table
Marks : 10-20 20-30 30-40 40-50 50-60 60-70
Number of students: 4 6 8 10 7 5
Sol:
Histograms are drawing the first quadrant .because the first quadrant frequencies and class intervals are positive. Class intervals are marked along x axis similarly the frequency are marked along the y axis. Identify the maximum frequency in the table and then chose a suitable scale along the y- axis.
Draw first rectangle on the intervals 10 -20 as the base width and height of 4 units. Draw all rectangles taking the consecutive class intervals as base of the rectangles and their heights corresponding to the frequencies. The closed figure obtained is called histogram
Histogram:
This is the histogram for given frequency table.
Example: 2
To draw the histogram for a given frequency table,
Sol:
- Here in the frequency table, data range and frequency are given
- We take a data range in x axis and frequency in y axis
Histogram:
This is the histogram for given frequency table
More examples for learning histograms
To draw the histogram for following frequency table,
Sol:
- Here the given data deals with score(group) and frequency(count)
- We are taking score in x-axis
- Similarly the frequency is in y axis
Histogram:
This is the histogram for given frequency table.
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