6.7 SPM Practice (Long Questions)

Question 9 (12 marks):
The data in the Diagram shows the mass, in g, of 30 strawberries plucked by a tourist from a farm.

Diagram

(a) Based on the Diagram, complete Table 3 in the answer space.

(b) Based on Table, calculate the estimated mean mass of a strawberry.

(c) For this part of the question, use graph paper.
By using the scale of 2 cm to 10 g on the horizontal axis and 2 cm to 1 strawberry on the vertical axis, draw a histogram for the data.

(d) Based on the histogram drawn in 14(c), state the number of strawberries with the mass of more than 50 g.

Answer:




Solution:
(a)


(b)
$\begin{array}{l}\text{Estimated mean mass}\\ =\frac{\text{Total }\left[\text{midpoint}\times \text{frequency}\right]}{\text{Total frequencies}}\\ =\frac{\begin{array}{l}2\left(14.5\right)+5\left(24.5\right)+10\left(34.5\right)+8\left(44.5\right)+\\ \text{3}\left(54.5\right)+2\left(64.5\right)\end{array}}{2+5+10+8+3+2}\\ =\frac{1145}{30}\\ =38.17\end{array}$


(c)


(d)
Number of strawberries with the mass more than 50 g
= 3 + 2
= 5