Mathematics
Draw a histogram for the following data :
Class marks | Frequency |
---|---|
12.5 | 7 |
17.5 | 12 |
22.5 | 20 |
27.5 | 28 |
32.5 | 8 |
37.5 | 11 |
Statistics
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Answer
We know that class mark is the mid-point of class. So, frequency distribution table for above data is :
Class marks | Class | Frequency |
---|---|---|
12.5 | 10 - 15 | 7 |
17.5 | 15 - 20 | 12 |
22.5 | 20 - 25 | 20 |
27.5 | 25 - 30 | 28 |
32.5 | 30 - 35 | 8 |
37.5 | 35 - 40 | 11 |
Steps of construction of histogram :
Since the scale on x-axis starts at 10, a kink is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 10.
Take 2 cm along x-axis = 5 units.
Take 1 cm along y-axis = 5 units.
Construct rectangles corresponding to the above continuous frequency distribution table.
The required histogram is shown in the adjoining figure.
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