Foundation November 2017 Paper 1 Q27
27 The table shows information about the weekly earnings of 20 people who work in a shop.
| Weekly earnings (£\(x\)) | Frequency |
|---|---|
| \(150 \lt x \leqslant 250\) | 1 |
| \(250 \lt x \leqslant 350\) | 11 |
| \(350 \lt x \leqslant 450\) | 5 |
| \(450 \lt x \leqslant 550\) | 0 |
| \(550 \lt x \leqslant 650\) | 3 |
(a) Work out an estimate for the mean of the weekly earnings. (3)
Nadiya says,
“The mean may not be the best average to use to represent this information.”
(b) Do you agree with Nadiya?
You must justify your answer. (1)
You must justify your answer. (1)
| Answer | Mark | Notes |
|---|---|---|
| 365 | M1 | \(fx\) with \(x\) consistent within intervals eg \(200 \times 1\), \(300 \times 11\), \(400 \times 5\), \(500 \times 0\), \(600 \times 3\), if 200, 3300, 2000, 0, 1800 are seen without working then condone 1 error |
| M1 | (dep) \(\Sigma fx \div \Sigma f\) eg \(\text{``}7300\text{''} \div 20\) | |
| A1 | Cao |
| Answer | Mark | Notes |
|---|---|---|
| Comment | C1 | for comment about outliers affecting mean |