Higher January 2020 Paper 1R Q19
19
The histogram gives information about the heights of all the Year 11 students at a school.
There are 160 students in Year 11 with a height between 155 cm and 170 cm.
Work out the total number of students in Year 11 at the school.
(4)
| Scheme | Marks |
|---|---|
| eg \(5 \times 2x + 10 \times x = 160\) OR 160 ÷ 2 (= 80) [freq of one bar] OR 40 × 5 + 20 × 10 (= 400) [total no. of sml squares] OR 160 ÷ 16 (= 10) [students per 1 cm²] OR 1 cm² = 10 students OR e.g. 5 small squares = 2 students oe | M1 |
| ‘\(x\)’ = 8 OR 8 or 16 seen in the correct position on the vertical scale OR 160 ÷ “400” (= 0.4 oe) | M1 |
| “7.2” × 15 + 160 + “6” × 15 + “2.4” × 5 OR 160 + “0.4” × (18 × 15 + 15 × 15 + 5 × 6) | M1 |
| 370 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: for setting up an appropriate equation
OR
finding the area of the 2nd or 3rd bar
OR
finding the total number of small squares
OR
for finding the number of students per 1 cm² or 1 cm² = 10 students
OR
other appropriate scale e.g. 5 small squares = 2 students
M1: for finding frequency density
OR method to find the frequency of the 1st, 4th or 5th bar
(1st is 108, 4th is 90, 5th is 12)
M1: (dep on at least M1) for a complete method to find the total frequency (allow one error or one repeat but no omission)