6. Construction of a histogram

Let us consider the data table given below and try to construct a histogram step-by-step.

 

Problem:

 

A private organization surveyed hundred schools in Chennai. The organization collected the average number of kindergarten children in each classroom.

 

The data table looks like this:

 

Number of students	\(25\) - \(30\)	\(30\) - \(35\)	\(35\) - \(40\)	\(40\) - \(45\)	\(45\) - \(50\)
Frequency	\(15\)	\(35\)	\(18\)	\(25\)	\(7\)

 

Now, let us try to construct a histogram.

 

Step \(1\): Set and mark the units for \(X\)-axis and \(Y\)-axis.

 

Here, the axes will look like this:

 

 

Step \(2\): Now mark the class intervals (Number of students) along the \(X\)-axis and the frequency along the \(Y\)-axis.

 

 

Step \(3\): Now, construct rectangles with class intervals (number of students) as the base and the frequency as the height.