Analysis and Approaches for IBDP Maths Ebook 1 | Page 234

Your Practice Set – Analysis and Approaches for IBDP Mathematics
76
Paper 2 Section A – Frequency table
and cumulative frequency table
Example
The following table gives the examination scores for 60 students.
Score Number of students Cumulative frequency
20 15 15
40 30 45
60 5 p
80 q 60
(a)
Find the value of
(b)
(c)
(d)
(i) p ;
(ii) q .
Find the mean score.
Write down the standard deviation.
State whether the data is discrete or continuous.
[3]
[2]
[1]
[1]
Solution
(a) (i) p
�45 � 5
� 50
A1 N1
(ii) q
�60 � 50
(M1) for valid approach
� 10
A1 N2
(b) The mean score
(20)(15) � (40)(30) � (60)(5) � (80)(10)
�
60
(M1) for mean formula
� 43.33333333
� 43.3
A1 N2
(c) 19.7 A1 N1
(d) Discrete A1 N1
[3]
[2]
[1]
[1]
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