Mathematics
The daily pocket expenses of 200 students in a school are given below :
| Pocket expenses (in ₹) | No. of students (frequency) |
|---|---|
| 0 - 5 | 10 |
| 5 - 10 | 14 |
| 10 - 15 | 28 |
| 15 - 20 | 42 |
| 20 - 25 | 50 |
| 25 - 30 | 30 |
| 30 - 35 | 14 |
| 35 - 40 | 12 |
Draw a histogram representing the above distribution and estimate the mode from the graph.
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 LO and ND diagonally from the upper corners N and O of adjacent rectangles.
Through point P (the point of intersection of diagonals LO and ND), draw PR perpendicular to the horizontal axis.
The value of point R on the horizontal axis represents the value of mode.
∴ Mode = 21.5
Hence, mode = 21.5
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