Analysis and Approaches for IBDP Maths Ebook 1 | Page 235

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Exercise 76
1. The following table gives the number of notebooks kept by 50 students.
Number of notebooks Number of students Cumulative frequency
1 14 14
2 7 p
3 q 39
4 10 49
5 1 50
(a)
Find the value of
(i) p ;
(b)
(c)
(ii) q .
Find the mean number of notebooks.
Write down the standard deviation.
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2. In a school with 180 boys, each student is tested to see how many sit-up exercises (sit-ups)
he can do in one minute. The results are given in the table below.
Number of sit-ups Number of students Cumulative frequency
22 32 32
23 21 53
24 37 p
25 25 115
26 q 165
27 15 180
(a)
Find the value of
(b)
(c)
(i) p ;
(ii) q .
Find the mean number of sit-ups.
Write down the variance.
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[2]
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