7.4.5 Measures of Dispersion for Grouped Data, SPM Paper (Long Questions)



Question 8:
The data in Diagram 8 shows the weight of meat, in kg, sold each day over 40 days.

36634347677168799249
41526678845577865894
60747362566846357268
80405759718192606353
Diagram 8

(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 8(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

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 =64.50 kg
 
(c)



(d)
Modal class is 60 – 69.
 

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