The table shows the number of suitcases possessed by a group of travellers.
(a) Calculate the (i) median (ii) mean, correct to the nearest whole number.
(b) Draw a bar chart to represent the information.
| No. of suitcases | 0 | 1 | 2 | 3 | 4 | 5 |
| Travellers | 2 | 7 | 7 | 2 | 3 | 6 |
(a) Calculate the (i) median (ii) mean, correct to the nearest whole number.
(b) Draw a bar chart to represent the information.
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Correct Answer: Option n
Explanation:
(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)
| 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)