4MA0 Higher January 2017 Paper 3R Q9
9 The table gives information about the weights of 20 rugby players.
| Weight (\(w\) kg) | Frequency |
|---|---|
| \(80 \lt w \leqslant 90\) | 3 |
| \(90 \lt w \leqslant 100\) | 5 |
| \(100 \lt w \leqslant 110\) | 7 |
| \(110 \lt w \leqslant 120\) | 4 |
| \(120 \lt w \leqslant 130\) | 1 |
(a) Write down the modal class. (1)
(b) Work out an estimate for the total weight of these 20 rugby players. (3)
| Scheme | Marks |
|---|---|
| \(100 \lt w \leqslant 110\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 85 × 3 + 95 × 5 + 105 × 7 + 115 × 4 + 125 255 + 475 + 735 + 460 + 125 | M2 |
| 2050 | A1 |
| (3) | |
| (4 marks) |
Notes
M2: for frequency × mid-interval for at least 4 products multiplied consistently and summing
If not M2 then award M1 for multiplying consistently by value within intervals for at least 4 products (eg. end of interval) and summing products or mid-intervals used but not summed.
A1: SC : B2 for an answer of 102.5