Foundation June 2019 Paper 2 Q13
13 The table shows information about the heights, in cm, of 48 sunflowers in a garden centre.
| Height of sunflower (\(h\) cm) | Frequency |
|---|---|
| \(90 \lt h \leqslant 100\) | 8 |
| \(100 \lt h \leqslant 110\) | 12 |
| \(110 \lt h \leqslant 120\) | 15 |
| \(120 \lt h \leqslant 130\) | 10 |
| \(130 \lt h \leqslant 140\) | 3 |
Work out an estimate for the mean height of the sunflowers.
(4)
| Scheme | Marks |
|---|---|
| 95 × 8 + 105 × 12 + 115 × 15 + 125 × 10 + 135 × 3 (= 5400) or 760 + 1260 + 1725 + 1250 + 405 (= 5400) | M2 |
| “5400” ÷ “48” | M1 |
| 112.5 | A1 |
| (4) | |
| (4 marks) |
Notes
M2: for at least 4 correct products added (need not be evaluated) or
If not M2 then award:
M1 for consistent use of value within interval (including end points) for at least 4 products which must be added
or
correct midpoints used for at least 4 products and not added
M1: dep on at least M1
Allow division by their \(\Sigma f\) provided addition or total under column seen
A1: oe accept 112 or 113 from correct working
Accept 112.5 with no working
Do not accept 112 or 113 with no working