A group of students sat for an examination.
50% of the boys and 40% of the girls passed the examination.
Megan commented that 45% of the students passed the examination.
Explain why Megan may be wrong. Answer

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Worked solution

8

1. State why averaging the two percentages may not give the overall percentage

The overall percentage passed depends on the number of boys and the number of girls.
$45\%$ is obtained by averaging $50\%$ and $40\%$ , but this is only valid if there are equal numbers of boys and girls.

Answer

Megan may be wrong because $45\%$ is just the average of $50\%$ and $40\%$ . This is only correct if the number of boys and girls is the same. If there are different numbers of boys and girls, the overall percentage who passed will not necessarily be $45\%$ .

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A group of students sat for an examination. 50% of the boys and 40% of the girls passed the examination. Megan commented that 45% of the students passed the examination. Explain why Megan may be wrong. Answer

Worked solution

8

More questions on this topic

A group of students sat for an examination.
50% of the boys and 40% of the girls passed the examination.
Megan commented that 45% of the students passed the examination.
Explain why Megan may be wrong. Answer