The lengths of 62 leaves of a plant are measured in millimetres and the data is represented in the following table. Draw a histogram to represent the data above.
Length (in mm) | Number of leaves |
Step 1: Calculate the frequency distribution
Given, that the length of 62 leaves of a plant measured in millimeters
The table represents the length of leaves and the number of leaves
We have to draw a histogram for the given data.
The given frequency distribution is in the inclusive form.
On converting to exclusive form,
Now, consider the classes
The lower limit of
The upper limit of
Half the difference between the lower and upper limit
Thus, we subtract from each lower limit and add to each upper limit.
Step 2: Construct the table for continuous grouped frequency distribution
The table for continuous grouped frequency distribution becomes,
Length (in mm) | Number of leaves |
Thus, the given data becomes in the exclusive form.
Step 3: Plot the histogram for the given table of data
Along the horizontal axis, we represent the class intervals of length on some suitable scale.
The corresponding frequencies of the number of leaves are represented along the Y-axis on a suitable scale.
The given intervals start with
It means that there is some break (≈) indicated near the origin to signify the graph is drawn with a scale beginning at
Hence, a histogram for the class interval of length and the corresponding frequencies of the number of leaves of a plant with leaves is mentioned above