SPM Mathematics 2019, Paper 2 (Question 14)

Question 14:
Diagram 8 is an ogive showing the amount of money, in RM, spent on petrol in a month by a group of motorcycle riders.


(a) Based on Diagram 8, complete Table 3 in the answer space.       [4 marks]

(b) Based on Table 3, calculate the estimated mean amount of money, in RM, spent by a motorcycle rider.            [3 marks]

(c) Draw a frequency polygon for the data, using the scale of 2 cm to RM 10 on the horizontal   axis and 2cm to 2 motorcycle riders on the vertical axis.     [4 marks]

(d) Based on the frequency polygon in 14 (c), state the percentage of the motorcycle riders who spent more than RM70 on petrol.  [1 mark]

Answer:


Solution:
(a)

(b)

$\begin{array}{l}\text{Estimated min}=\frac{3390}{60}\\ =\text{RM}56.50\end{array}$

(c)


(d)
$\begin{array}{l}\text{Percentage}=\frac{8+4}{60}\times 100\%\\ =20\%\end{array}$