Question 8 (12 marks):
Diagram shows the marks obtained by a group of 36 students in a Mathematics test.
Diagram
(a) Based on the data in Diagram, complete Table in the answer space.
(b) Based on the Table, calculate the estimated mean mark of a student.
(c) For this part of the question, use graph paper.
By using the scale of 2 cm to 5 marks on the horizontal axis and 2 cm to 1 student on the vertical axis, draw a frequency polygon for the data.
(d) Based on the frequency polygon in 8(c), state the number of students who obtained more than 40 marks.
Answer:
Table
Solution:
(a)
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2019/11/Picture61.png)
(b)
(c)
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2019/11/Picture62.png)
(d)
Number of students who obtained more than 40 marks
= 10 + 8 + 4
= 22 students
Diagram shows the marks obtained by a group of 36 students in a Mathematics test.
![](http://spmmatematik.blog.onlinetuition.com.my/wp-content/uploads/sites/9/2019/10/Picture3.png)
(a) Based on the data in Diagram, complete Table in the answer space.
(b) Based on the Table, calculate the estimated mean mark of a student.
(c) For this part of the question, use graph paper.
By using the scale of 2 cm to 5 marks on the horizontal axis and 2 cm to 1 student on the vertical axis, draw a frequency polygon for the data.
(d) Based on the frequency polygon in 8(c), state the number of students who obtained more than 40 marks.
Answer:
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2019/11/Picture60.png)
Solution:
(a)
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2019/11/Picture61.png)
(b)
(c)
![](http://spmmathematics.blog.onlinetuition.com.my/wp-content/uploads/sites/5/2019/11/Picture62.png)
(d)
Number of students who obtained more than 40 marks
= 10 + 8 + 4
= 22 students