SPM Mathematics 2018, Paper 2 (Questions 13 & 14)


Question 14 (12 marks):
Diagram 10 shows the marks obtained by a group of 36 students in a Mathematics test.

Diagram 10

(a)
Based on the data in Diagram 10, complete Table 3 in the answer space.

(b)
Based on Table 3, 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 14(c), state the number of students who obtained more than 40 marks.

Answer:
Table 3


Solution:
(a)

(b)
Estimated mean mark = Total [ Frequency×midpoint ] Total frequency = 2( 28 )+5( 33 )+7( 38 )+10( 43 )+             8( 48 )+4( 53 ) 2+5+7+10+8+4 = 1513 36 =42.03

(c)



(d)
Number of students who obtained more than 40 marks
= 10 + 8 + 4
= 22 students

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