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.
Verified Correct Answer: .
Step-by-Step Mathematical Solution
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)
Source: Myschool Past Questions Archive (Record #53270)