4400 Higher November 2004 Paper 3 Q8
8 The table shows information about the ages of 24 students.
| Age (years) | Number of students |
|---|---|
| 16 | 9 |
| 17 | 3 |
| 18 | 8 |
| 19 | 4 |
(a)
(i) Write down the mode of these ages.
(ii) Find the median of these ages.
(iii) Calculate the mean of these ages. (6)
Another student, aged 18, joins the group.
(b)
(i) Without calculating the new mean, state whether the mean will increase or decrease or stay the same.
(ii) Give a reason for your answer to (i). (2)
| Scheme | Marks |
|---|---|
| (i) Answer: 16 | B1 |
| (ii) Attempt find 12th or 13th student’s age | M1 |
| 17.5 | A1 |
| (iii) \(fx\) attempted (= 415) | M1 |
| ÷ 24 | M1dep |
| 17.3 or better | A1 |
| (6) |
Notes
A1: 17, no wking, M0M0A0
17, correct wking, M1M1A1
| Scheme | Marks |
|---|---|
| (i) Answer: Increase | B1 |
| (ii) Answer: 18 > old mean | B1 |
| (2) | |
| (8 marks) |