Mathematics
For the following frequency distribution, draw a histogram on a graph paper.
| Class interval | Frequency |
|---|---|
| 80-100 | 4 |
| 100-120 | 16 |
| 120-140 | 24 |
| 140-160 | 28 |
| 160-180 | 16 |
| 180-200 | 12 |
Use the graph drawn to estimate the mode for the given data.
Answer
Steps :
Draw a histogram of the given distribution.
Inside the highest rectangle, which represent the maximum frequency (or modal class), draw two lines AC and BD diagonally from the upper corners C and B of adjacent rectangles.
Through the point E (the point of intersection of diagonals), draw EF perpendicular to horizontal axis.
The value of point F on the horizontal axis represents the value of mode.
∴ Mode = 144
Hence, mode = 144.
