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Numeracy Foundation November 2016 Unit 1 Q9

WJECFoundationCurrent spec6 marksPercentagesScatter Diagrams & Correlation

9.

(a) Students are taking tests in English and Welsh.
The English test is marked out of 80.
The Welsh test is marked out of 70.
(i) Dyfed scores 35 in his English test.
Estimate Dyfed’s score as a percentage.
Circle your answer. [1]

4%    20%    23%    44%    51%

(ii) Liam scores 22 in his Welsh test.
Estimate Liam’s score as a percentage.
Circle your answer. [1]

0·3%    3%    22%    31%    40%

(b)

Rowena states a hypothesis,
‘Boys do better than girls in their English tests.’

She displays the test marks for 5 girls and 5 boys in scatter diagrams.

Scatter diagram titled Girls’ test results: Mark in English (0 to 80) against Mark in Welsh (0 to 70+), points at about (10, 22), (20, 34), (33, 43), (50, 52), (70, 70)
Scatter diagram titled Boys’ test results: Mark in English (0 to 80) against Mark in Welsh (0 to 70+), points at about (10, 22), (20, 34), (35, 50), (60, 60), (75, 70)
(i) Does the data support Rowena’s hypothesis?
You must give a reason for your answer. [1]
(ii) How could Rowena improve the testing of her hypothesis? [1]
(c) Draw, by eye, a line of best fit to estimate how many marks you might expect a boy to score in a Welsh test if he scored 50 marks in his English test. [2]

…………………… marks

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