SPM 2016 Mathematics (Forecast Paper)





SPM 2016 Mathematics (Forecast Paper)

Section B
 [48 marks]
Answer any four questions from this section.

14.  The data in Diagram 9 shows the weight of meat, in kg, sold each day over 40 days.

  36     63     43     47     67     71     68     79     92     49

  41     52     66     78     84     55     77     86     58     94

  60     74     73     62     56     68     46     35     72     68

  80     40     57     59     71     81     92     60     63     53 
               
Diagram 9

(a)    Based on the data in Diagram 9, complete Table 14 in the answer space.
                                                                                                               [ 4 marks]

(b)   Based on Table 2, calculate the estimated mean of the weight of meat sold over 40 days.
[3 marks]

(c)    For this part of question, use the graph paper provided on page. By using the   scale of 2 cm to 10 kg on the horizontal axis and 2 cm to 1 day on the vertical axis, draw a histogram for the data.
[4 marks]

(d)   Based on the histogram  in 14(c), state one information about the weight of meat sold each day. [1 mark]


Answer:
(a)

Weight (kg)
Mid point
Frequency
30 – 39





















Table 2
Answer and solution:
(a)

Weight (kg)
Mid point  (x)
Frequency (f)
30 – 39
34.5
2
40 – 49
44.5
6
50 – 59
54.5
7
60 – 69
64.5
10
70 – 79
74.5
8
80 – 89
84.5
4
90 – 99
94.5
3

(b)
Mean= Σxf Σf = 34.5(2)+44.5(6)+54.5(7)+64.5(10)+74.5(8)+84.5(4)+94.5(3) 40 = 2580 40 =64.50kg

(c)


(d)
Modal class is 60 – 69.