A tyre manufacturing company researched into the life span of one type of their motorcycle tyres. The results were as follows :
| Distance(100km) | 10-19 | 20-29 | 30-39 | 40-49 | 50-59 | 60-69 |
| Number of tyres | 30 | 69 | 93 | 57 | 36 | 15 |
(a) Draw a histogram for the distribution.
(b) Use the histogram to estimate the mode.
Explanation
(a)
| Distance (100km) | Class boundaries | Freq |
| 10 - 19 | 9.5 - 19.5 | 30 |
| 20 - 29 | 19.5 - 29.5 | 69 |
| 30 - 39 | 29.5 - 39.5 | 93 |
| 40 - 49 | 39.5 - 49.5 | 57 |
| 50 - 59 | 49.5 - 59.5 | 36 |
| 60 - 69 | 59.5 - 69.5 | 15 |
| | | 300 |
(b) Mode = 33.5
