4.2.2 Statistics (II), PT3 Focus Practice

Posted on January 20, 2018 by user

4.2.2 Statistics (II), PT3 Focus Practice

Question 6:

Diagram below is a pie chart which shows the proportion of money allocated to five clubs.

The total amount of money allocated to Swimming Club and Squash Club is RM1800.

Calculate the total amount of money allocated to the five clubs.

Solution:

Sum of the angles of the sectors for Swimming Club and Squash Club

= 360^o – 65^o– 85^o – 90^o

= 120^o

Total amount of money allocated to the five clubs

\begin{array}{l} = \frac{360^{o}}{120^{o}} \times R M 1800 \\ = R M 5400 \end{array}

Question 7:

Table below shows the number of students who watch four different TV channels in a week.

The information for sports channel is shown fully in the pie chart in the answer space.

Complete the pie chart to represent all the information in the Table.

Answer:

Solution:

Total number of students

= 8 + 15 + 25 + 12 = 60

\begin{array}{l} News channel \\ = \frac{8}{60} \times 360^{o} = 48^{o} \\ Movies channel \\ = \frac{25}{60} \times 360^{o} = 150^{o} \\ Music channel \\ = \frac{12}{60} \times 360^{o} = 72^{o} \end{array}

Question 8:

Diagram below is a pie chart showing the number of mangosteens eaten by 4 boys.

Calculate

(a) the mean number of mangosteens eaten by a boy,

(b) the angle of the sector representing Kenny.

Solution:

(a)

\begin{array}{l} Mean \\ = \frac{10 + 20 + 18 + 12}{4} \\ = \frac{60}{4} \\ = 15 \end{array}

(b)

\begin{array}{l} Angle of the sector representing Kenny \\ = \frac{18}{60} \times 360^{o} \\ = 108^{o} \end{array}