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