Higher November 2024 Paper 2 Q16
16 The histogram gives information about the distances that 60 teachers travelled to school on Monday.
The histogram is incomplete.
11 of the teachers travelled between 0 miles and 5 miles.
None of the teachers travelled a distance greater than 50 miles.
The number of teachers who travelled between 5 miles and 10 miles is the same as the number of teachers who travelled between 20 miles and 30 miles.
Complete the histogram. (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| Histogram completed | M1 | for method to use area to find at least one other frequency (not 11), eg \(10 \times 1.5\ (= 15)\) or \(20 \times 0.3\ (= 6)\) |
| M1 | for method to find unknown frequencies, eg \((60 - 11 - \text{``}15\text{''} - \text{``}6\text{''}) \div 2\ (= 14)\) | |
| M1 | ft for method to find an unknown frequency density, eg \(\text{``}14\text{''} \div 5\ (= 2.8)\) or \(\text{``}14\text{''} \div 10\ (= 1.4)\) or one correct bar drawn | |
| C1 | cao |
Additional guidance
Condone one error in reading FD
Ft one error from reading FD