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How do you create a histogram from a frequency table?

Last updated date: 09th Aug 2024
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Hint: The frequency distribution table is one that shows the data point or a data set to appear in a well-organized manner in a table. To obtain the frequency distribution table the first step is to divide the number of data ranges in an interval that has equal length.
The histogram on the other hand represents the data points in a given range, the histogram is somewhat similar to the bar graph. The histograms display the data with the help of bars having variable height. The height of the bars shows the amount that falls in the given range occupied by the bar.

Complete step by step solution:
To obtain the histogram follow the steps:
Step 1: Obtain all the data in the tabular form.
Step 2: Note the range of values that the data set has.
Step 3: Split the range into equal intervals to obtain a fixed number of intervals.
For example if the intervals are $4$ then, the first interval is from $65 - 70$, second interval ranges from $71 - 76$, third from $77 - 82$ and fourth from $83 - 88$.
Step 4: Make the frequency table for the interval such that each frequency shows the number of times an interval is repeated, say, frequency one shows that the interval $65 - 70$ is repeated three times. In the same way, obtain the frequency for all the ranges.
Step 5: From the frequency distribution table obtain the histogram. The height of the histogram will be frequency and the width of the bar will be an interval.

Note:
The histograms are used to obtain a representation of discrete and continuous data sets. The histograms are used in image processing, adjusting image contrast, and image equalization.