3. The frequency distribution for the lengths of 108 fish in an aquarium is given by the following table. The lengths of the fish ranged from 5 cm to 90 cm .
| Length \(( \mathrm { cm } )\) | \(5 - 10\) | \(10 - 20\) | \(20 - 25\) | \(25 - 30\) | \(30 - 40\) | \(40 - 60\) | \(60 - 90\) |
| Frequency | 8 | 16 | 20 | 18 | 20 | 14 | 12 |
- Calculate estimates of the three quartiles of the distribution.
- On graph paper, draw a box and whisker plot of the data.
- Hence describe the skewness of the distribution.
- If the data were represented by a histogram, what would be the ratio of the heights of the shortest and highest bars?