What a cumulative table can tell you
What a cumulative table can tell you
Secondary 4
7 marks
The cumulative frequency table shows the ages, \(a\) years, of the \(120\) members of a club. No member is \(10\) years old or younger.
| Age, \(a\) years | \(a\le 20\) | \(a\le 30\) | \(a\le 40\) | \(a\le 50\) | \(a\le 60\) |
|---|---|---|---|---|---|
| Cumulative frequency | \(14\) | \(39\) | \(75\) | \(104\) | \(120\) |
- Find the number of members in each of the classes \(10<a\le 20\), \(20<a\le 30\), \(30<a\le 40\), \(40<a\le 50\) and \(50<a\le 60\).[2]
- For each of the following, state whether the number of members can be found from the table. If it can, find it.[5]
- aged \(40\) or younger,
- younger than \(30\),
- older than \(50\),
- older than \(20\) but not older than \(40\).
Solution:
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Answer:(a) \(14,25,36,29,16\) (b)(i) Yes, \(75\) (ii) No: members aged exactly \(30\) are counted with younger members in "at most \(30\)" (iii) Yes, \(16\) (iv) Yes, \(61\)
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