Higher June 2024 Paper 1 Q22
22 The incomplete histogram shows some information about the distances, in kilometres, that 100 adults ran last week.
All of the adults ran at least 5 kilometres.
None of the adults ran more than 55 kilometres.
14 adults ran between 15 kilometres and 20 kilometres.
Complete the histogram.
(3)
| Scheme | Marks |
|---|---|
| eg 14 ÷ 5 (= 2.8) or a correct value on the FD scale or 10 small squares =1 adult oe or 1 large square = 2.5 adults oe or 51 and 8 assigned to correct bars (distances) | M1 |
| eg 14 + (15 × “3.4”) + (20 × “0.4”) (= 73) oe or 100 – [14 + (15 × “3.4”) + (20 × “0.4”)] (= 27) oe 14 + 51 + 8 (= 73) oe or 100 – [14 + 51 + 8] (= 27) oe or (140 + 510 + 80) × 0.1 (= 73) oe or [1000 – (140 + 510 + 80)] × 0.1 (= 27) oe or (140 + 510 + 80) (= 730) oe or [1000 – (140 + 510 + 80)] (= 270) oe or (5.6 + 20.4 + 3.2) × 2.5 (= 73) oe or [40 – (5.6 + 20.4 + 3.2)] × 2.5 (= 27) oe | M1 |
| Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: Correct height of bar at 2.7 and correct width | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for finding the frequency density
or
for finding the number of adults for squares
or
use of counting squares or blocks
M1: for a method to find the area of the bars given
or
for a method to find the missing area
A1: for correct bar(s) with frequency of 27
SC B2 for a bar of height 2.7 from 0 – 15
SC B2 for a bar of height 1.8 from 0 – 15