Mathematics
Draw histograms for the following frequency distributions :
Class mark | Frequency |
---|---|
16 | 8 |
24 | 12 |
32 | 15 |
40 | 18 |
48 | 25 |
56 | 19 |
64 | 10 |
Statistics
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Answer
Since, the difference between the values of any two consecutive class marks is 8 (24 - 16).
Therefore, subtract = 4, from each class mark to get the lower limit of the corresponding class interval and add 4 to each class mark to get the upper limit.
Frequency distribution table :
Class mark | Class | Frequency |
---|---|---|
16 | 12 - 20 | 08 |
24 | 20 - 28 | 12 |
32 | 28 - 36 | 15 |
40 | 36 - 44 | 18 |
48 | 44 - 52 | 25 |
56 | 52 - 60 | 19 |
64 | 60 - 68 | 10 |
Steps of construction of histogram :
Since, the scale on x-axis starts at 12, a break (kink) is shown near the origin on x-axis to indicate that the graph is drawn to scale beginning at 12.
Take 1 cm along x-axis = 8 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 below figure:
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