Multiple choice

A test of five questions, each carrying 10 marks, was conducted in a school. Marks of two students Mary and Harry were tabulated as follows: Question Number 1 2 3 4 5 Mary's Score 10 8 9 8 7 Harry's Score 4 7 10 10 10 Choose the correct statement.

  1. The mean marks of Mary are greater than the mean marks of Harry.

  2. The mean marks of Mary are less than the mean marks of Harry.

  3. The mean marks of Mary and the mean marks of Harry are equal.

  4. There is not enough information to compare the means marks.
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A Correct answer
Explanation

Mary's mean is (10+8+9+8+7)/5 = 42/5 = 8.4. Harry's mean is (4+7+10+10+10)/5 = 41/5 = 8.2. Since 8.4 > 8.2, Mary's mean is greater.

AI explanation

Using the arithmetic mean formula, Mary's total score is calculated as 10 plus 8 plus 9 plus 8 plus 7, which equals 42, giving her a mean of 42 divided by 5, or 8.4. Harry's total score is calculated as 4 plus 7 plus 10 plus 10 plus 10, which equals 41, giving him a mean of 41 divided by 5, or 8.2. Comparing the two means, 8.4 is greater than 8.2, so the mean marks of Mary are greater than the mean marks of Harry.

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