The table shows the weights, to the nearest kilogram, of twelve students in a Further Mathematics class
Weight in kg
55
57
59
61
63
No of students
2
1
2
4
3
(a) Draw a bar chart to illustrate the above information;
(b) What is (i) the mode; (ii) the median of the distribution?
(c) Calculate the mean weight correct to the nearest kilogram.
Verified Correct Answer: .
Step-by-Step Mathematical Solution
(a)
(b)(i) The mode is 61kg.
(ii) From the total number of students = 12, then the median is the average of the 6th and 7th weight.
From the table, the median = 61kg.
(c) Mean weight = \(\frac{\sum fx}{\sum f} = \frac{55 \times 2 + 57 \times 1 + 59 \times 2 + 61 \times 4 + 63 \times 3}{12}\)
= \(\frac{110 + 57 + 118 + 244 + 189}{12} = \frac{718}{12} = 59.833kg\)
\(\approxeq 60kg\)
Source: Myschool Past Questions Archive (Record #54659)