Foundation June 2025 Paper 3 Q19
19 Katya counted the number of people in each of 50 cars.
The table gives information about her results.
| Number of people | Frequency |
|---|---|
| 1 | 16 |
| 2 | 15 |
| 3 | 7 |
| 4 | 9 |
| 5 | 3 |
(a) Find the median number of people. (1)
(b) Work out the mean number of people. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 2 | B1 | cao |
| Answer | Mark | Mark scheme |
|---|---|---|
| 2.36 | M1 | for starting method by multiplying ages by frequencies, with at least 3 correct, eg \(1 \times 16\), \(2 \times 15\), \(3 \times 7\), \(4 \times 9\), \(5 \times 3\) or at least three of 16, 30, 21, 36, 15 |
| M1 | (dep on M1) for \(\sum fx \div \sum f\), eg \(118 \div 50\) or \(118 \div (16 + 15 + 7 + 9 + 3)\) or \((1 \times 16 + 2 \times 15 + 3 \times 7 + 4 \times 9 + 5 \times 3) \div 50\) | |
| A1 | accept 2.4 from correct working |
Additional guidance
Do not award this mark if the final answer comes from an alternative incorrect method, eg \(50 \div 5\)
May be seen next to table
118 implies this mark
\(\sum fx\) must come from 5 products
If a correct answer is shown and then incorrectly rounded award full marks