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Question

Construct a histogram from the following distribution of total marks obtained by 60 students of class VIII.

Class Marks (Mid points)Number of studentsClass Interval150716014170918012190152003

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Solution

As class marks (mid points) are given, class intervals are to be calculated from the class marks.

Step 1: Find the difference between two successive classes. h = 160 -150 = 10

Step 2: Calculate lower and upper boundaries of every class with class mark x, as xh2 and x+h2.

Step 3: Choose a suitable scale. X-axis 1 small division = 2.5 units and on Y-axis 1 small division = 1 unit.

Step 4: Draw rectangles with class intervals as bases and the corresponding frequencies as the heights.

Class Marks (Mid points)Number of studentsClass Interval150714515516014155165170916517518012175185190151851952003195205


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