**Question 10 (12 marks):**

Diagram shows a histogram which represents the mass, in kg, for a group of 100 students.

**Diagram**

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

(a)

**Calculate the estimated mean mass of a student.**

(b)

(b)

**For this part of the question, use graph paper. You may use a flexible curve ruler.**

(c)

(c)

Using a scale of 2 cm to 10 kg on the horizontal axis and 2 cm to 10 students on the vertical axis, draw an ogive for the data.

**Based on the ogive drawn in**

(d)

(d)

**10**(c), state the third quartile.

Answer:

*Solution*:**(a)**

**(b)**

$\begin{array}{l}\text{Estimatedmeanmass}\\ =\frac{8110}{100}\\ =81.1\text{kg}\end{array}$

**(c)**

**(d)**

Third quartile

= 75th student

= 90.0 kg