Mathematics
Draw a histogram to represent the following data :
| Class mark | Frequency |
|---|---|
| 150 | 15 |
| 160 | 28 |
| 170 | 12 |
| 180 | 36 |
| 190 | 8 |
| 200 | 18 |
Draw a histogram to represent the above data.
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Answer
Since, the difference between the values of any two consecutive class marks is 10 (160 - 150)
∴ subtract = 5, from each class mark to get the lower limit of the corresponding class interval and add 5 to each class mark to get the upper limit.
Frequency distribution table :
| Class mark | Class | Frequency |
|---|---|---|
| 150 | 145 - 155 | 15 |
| 160 | 155 - 165 | 28 |
| 170 | 165 - 175 | 12 |
| 180 | 175 - 185 | 36 |
| 190 | 185 - 195 | 8 |
| 200 | 195 - 205 | 18 |
Steps of construction of histogram :
Since, the scale on x-axis starts at 145, a break (kink) is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 145.
Take 2 cm along x-axis = 10 units.
Take 1 cm along y-axis = 4 units.
Construct rectangles corresponding to the above continuous frequency distribution table.
The required histogram is shown in the below figure :
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