Year 9 Maths Advanced
Investigating Data
Histograms and Stem-and-Leaf Plots
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Questions
Question 1
44222
The back-to-back stem-and-leaf plot shows the results of a writing task for \(13\) boys and \(13\) girls.
| Leaf (boys) | Stem | Leaf (girls) |
|---|---|---|
| 3 | 4 5 7 | |
| 3 | 4 | 1 5 8 8 |
| 8 6 6 2 | 5 | 5 5 7 9 |
| 7 2 2 0 0 | 6 | 0 9 |
| 8 8 5 | 7 |
Key: \(2 \mid 5 \mid 5\) means \(52\) for a boy and \(55\) for a girl
(i) Find the median mark for the boys.(ii) Find the median mark for the girls.
(iii) What percentage of the boys scored more than \(70\)? Give your answer correct to \(2\) decimal places.
(iv) Find the mean mark for the boys, correct to \(1\) decimal place.
Part a:
60
1 mark
Part b:
48
1 mark
Part c:
23.08
\(\%\) (2 d.p)
1 mark
Part d:
62.1
(1 d.p)
1 mark
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