**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.

(a)

**Based on Table, calculate the estimated mean mass of a strawberry.**

(b)

(b)

**For this part of the question, use graph paper.**

(c)

(c)

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.

**Based on the histogram drawn in**

(d)

(d)

**14**(c), state the number of strawberries with the mass of more than 50 g.

Answer:

*Solution:*

**(a)**

**(b)**

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

**(c)**

**(d)**

Number of strawberries with the mass more than 50 g

= 3 + 2

= 5