Mathematics
Draw a histogram for the following data :
Classes | Frequency |
---|---|
59 - 65 | 10 |
66 - 72 | 5 |
73 - 79 | 25 |
80 - 86 | 15 |
87 - 93 | 30 |
94 - 100 | 10 |
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Answer
The following frequency distribution is discontinuous, to convert it into continuous frequency distribution,
Adjustment factor = (Lower limit of one class - Upper limit of previous class) / 2
=
= 0.5
Subtract the adjustment factor (0.5) from all the lower limits and add the adjustment factor (0.5) to all the upper limits.
Continuous frequency distribution for given data is :
Classes before adjustment | Classes after adjustment | Frequency |
---|---|---|
59 - 65 | 58.5 - 65.5 | 10 |
66 - 72 | 65.5 - 72.5 | 5 |
73 - 79 | 72.5 - 79.5 | 25 |
80 - 86 | 79.5 - 86.5 | 15 |
87 - 93 | 86.5 - 93.5 | 30 |
94 - 100 | 93.5 - 100.5 | 10 |
Steps of construction of histogram :
Since, the scale on x-axis starts at 58.5, a break (kink) is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 58.5
Take 2 cm along x-axis = 7 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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