Numeracy Intermediate June 2025 Unit 2 Q7
7. In a PE lesson, 12 students each measured their height and arm span.
The results are shown on the scatter diagram below.
(a)
Anwen is the only student who made an error in her measurements.
She is one of the shortest students.
What did Anwen record as the measurement for her arm span?
Circle your answer. [1]
155 cm 168 cm 173 cm 172.5 cm 178 cm
(b) If you ignore Anwen’s height, what is the median height of the other 11 students? [1]
Median height is …………… cm
(c) What term best describes the correlation between a student’s height and their arm span? [1]
(d) Megan has the same arm span as Elwyn.
Elwyn is taller than Megan.
How tall is Megan? [2]
Elwyn is taller than Megan.
How tall is Megan? [2]
Megan is …………… cm tall
(e) Roland is 160 cm tall.
Elsa is 10% taller than Roland.
Find Elsa’s height and arm span. [3]
Elsa is 10% taller than Roland.
Find Elsa’s height and arm span. [3]
Elsa’s height is …………… cm
Elsa’s arm span is …………… cm
| Scheme | Mark | Comments |
|---|---|---|
| 173 cm | B1 |
| Scheme | Mark | Comments |
|---|---|---|
| 166 (cm) | B1 | FT for the median of the 11 students excluding ‘their answer to (a)’ |
| Scheme | Mark | Comments |
|---|---|---|
| Positive | B1 | Ignore additional descriptive terms |
| Scheme | Mark | Comments |
|---|---|---|
| 169 cm | B2 | B1 for any one of the following:
|
| Scheme | Mark | Comments |
|---|---|---|
| 160 + 0.1 × 160 or 160 × 1.1(0) or equivalent | M1 | |
| (Elsa’s height) 176 (cm) | A1 | Answer spaces take precedence Accept for appropriate sight of 176 (cm) or for ‘Elsa’ unambiguously indicated at (176, 169.5) An answer of 176(cm) implies M1 |
| (Elsa’s arm span) 169.5 (cm) | A1 | If answers are reversed (169.5 cm and 176 cm) award M1 A0 A1 |