The table shows the number of suitcases possessed by a group of travellers.
| No. of suitcases | 0 | 1 | 2 | 3 | 4 | 5 |
| Travellers | 2 | 7 | 7 | 2 | 3 | 9 |
(a) Calculate the (i) median (ii) mean, correct to the nearest whole number.
(b) Draw a bar chart to represent the information.
Explanation
| x | 0 | 1 | 2 | 3 | 4 | 5 |
| 7 | 2 | 7 | 7 | 2 | 3 | 9 |
| fx | 0 | 7 | 14 | 6 | 12 | 45 |
(a)(i) Median = (frac{1}{2} (N + 1))
= (frac{1}{2}(30 + 1) = 15.5)
= 15th and 16th position
= (frac{2 + 2}{2} = 2)
(ii) Mean = (frac{sum fx}{sum f})
= (frac{84}{30})
= (2.8 approxeq 3) (nearest whole no).
(b)