Apps. and Interpretation for IBDP Maths Ebook 1 | Page 239

(a)
Find the value of
(i) p ;
(b)
(c)
(ii) q .
Find the mean number of sit-ups.
Write down the variance.
[3]
[2]
[1]
3. The following frequency distribution of marks has mean 4.24.
Marks Number of students Cumulative frequency
1 2 2
2 4 6
3 6 12
4 16 28
5 p p � 28
6 10 q
17
(a) Find the value of p .
(b) Find the value of q .
(c) State whether the data is discrete or continuous.
[4]
[2]
[1]
4. The following frequency distribution of marks has mean 17.8.
Marks Number of students Cumulative frequency
7 5 5
12 3 8
17 6 14
22 5 19
27 p p � 19
(a) Find the value of p .
(b)
Find the upper quartile of the distribution.
[4]
[2]
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