Multiple choice

Students Number of assignments Charlie 12 Terry 13 Wade 16 Ivan 18 Seth 11 The table shows the number of assignments done by 5 students in the month of March. If Ivan was removed out of the data, what would be the difference in the mean of the number of assignments?

  1. Decreased by 1

  2. Increased by 1.5

  3. Increased by 3

  4. Decreased by 4.4
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A Correct answer
Explanation

Initial mean = (12+13+16+18+11)/5 = 70/5 = 14. Removing Ivan (18): New mean = (12+13+16+11)/4 = 52/4 = 13. The mean decreased by 14 - 13 = 1.

AI explanation

The total number of assignments is 12 plus 13 plus 16 plus 18 plus 11, which equals 70. The mean for the five students is 70 divided by 5, equaling 14 assignments. If Ivan is removed, the new sum becomes 70 minus 18, which equals 52. The new mean for the remaining four students is 52 divided by 4, which equals 13. The mean decreases from 14 to 13, so the difference is a decrease of 1.

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