Multiple choice

A test consisting of five questions, each worth 20 marks, was conducted by a school. Lee and Janny were two students who took the test, and their marks were recorded and tabulated. Question number 1 2 3 4 5 Marks scored by Lee 18 14 19 17 20 Marks scored by Janny 19 12 17 20 19 Which of the following statements accurately represents the information given about Lee's and Janny's test results?

  1. The mean marks of Lee are greater than the mean marks of Janny by 0.2.

  2. The mean marks of Lee are less than the mean marks of Janny by 0.2.

  3. The mean marks of Lee and the mean marks of Janny are equal to 17.4.

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

Lee's marks: (18+14+19+17+20)/5 = 88/5 = 17.6. Janny's marks: (19+12+17+20+19)/5 = 87/5 = 17.4. Difference = 17.6 - 17.4 = 0.2. Lee's mean is greater than Janny's mean by 0.2.

AI explanation

Calculate the total marks for Lee by adding 18, 14, 19, 17, and 20 to get 88, and calculate the total for Janny by adding 19, 12, 17, 20, and 19 to get 87. Dividing Lee's total by 5 gives a mean of 17.6, and dividing Janny's total by 5 gives a mean of 17.4. Subtracting Janny's mean from Lee's mean gives 17.6 minus 17.4, which equals 0.2, showing Lee's mean is greater by 0.2.

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