Mathematics
Draw a histogram for the following data:
| Class interval | Frequency |
|---|---|
| 600 - 640 | 18 |
| 640 - 680 | 45 |
| 680 - 720 | 153 |
| 720 - 760 | 288 |
| 760 - 800 | 171 |
| 800 - 840 | 63 |
Using this histogram, draw the frequency polygon on the same graph.
Statistics
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Answer
Frequency distribution table :
| Class interval | Class marks | Frequency |
|---|---|---|
| 600 - 640 | 620 | 18 |
| 640 - 680 | 660 | 45 |
| 680 - 720 | 700 | 153 |
| 720 - 760 | 740 | 288 |
| 760 - 800 | 780 | 171 |
| 800 - 840 | 820 | 63 |
Steps of construction of histogram:
Since, the scale on x-axis starts at 560, a break (kink) is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 560.
Take 1 cm along x-axis = 40 units.
Take 1 cm along y-axis = 50 units.
Construct rectangles corresponding to the above continuous frequency distribution table.
Steps of construction of frequency polygon:
Mark the mid-points of upper bases of rectangles of the histogram.
Join the consecutive mid-points by line-segments.
Join first end point with mid-point of class (560 - 600) with zero frequency, and join the other end point with the mid point of class (840 - 880) with zero frequency.
The required frequency polygon is shown by thick line segments in the diagram.

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