Foundation November 2020 Paper 2 Q16
16 The table shows information about the lengths of time, in minutes, 120 customers spent in a supermarket.
| Length of time (\(L\) minutes) | Frequency |
|---|---|
| \(20 \lt L \leqslant 30\) | 6 |
| \(30 \lt L \leqslant 40\) | 26 |
| \(40 \lt L \leqslant 50\) | 31 |
| \(50 \lt L \leqslant 60\) | 40 |
| \(60 \lt L \leqslant 70\) | 17 |
(a) Write down the modal class. (1)
(b) Work out an estimate for the mean length of time spent by the 120 customers in the supermarket. (4)
| Scheme | Marks |
|---|---|
| \(50 \lt L \leqslant 60\) | B1 |
| (1) |
Notes
B1: oe eg 50 - 60
| Scheme | Marks |
|---|---|
| 25 × 6 + 35 × 26 + 45 × 31 + 55 × 40 + 65 × 17 (150 + 910 + 1395 + 2200 + 1105) (= 5760) | M2 |
| “5760” ÷ “120” | M1 |
| 48 | A1 |
| (4) | |
| (5 marks) |
Notes
M2: For correct products using midpoints (allow one error) with intention to add.
M1 for products using frequency and a consistent value within the range (allow one error) with intention to add or correct products using midpoints (allow one error) without addition
M1: dep on M1