Mathematics
Find the mode of following data, using a histogram :
| Class | Frequency |
|---|---|
| 0 - 10 | 5 |
| 10 - 20 | 12 |
| 20 - 30 | 20 |
| 30 - 40 | 9 |
| 40 - 50 | 4 |
Measures of Central Tendency
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Answer
Steps :
Draw a histogram of the given distribution.
Inside the highest rectangle, which represents the maximum frequency (or modal class), draw two lines AC and BD diagonally from the upper corners C and D of adjacent rectangles.
Through point K (the point of intersection of diagonals AC and BD), draw KL perpendicular to the horizontal axis.
The value of point L on the horizontal axis represents the value of mode.
∴ Mode = 24.
Hence, mode = 24.
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