Question

To obtain a grade A, Youseff's mean score in five tests must be 85 or more. Youseff has scored 86, 94, 75, and 88 in four tests. What is his minimum mark in the fifth test to get a grade A?

a) 88
b) 89
c) 90
d) 91

Answer 1

Youseff needs at least a score of 83 on his fifth test to achieve a grade A with a mean score of 85 or more across five tests. The choices provided with the question do not include the correct answer based on our calculation.

Step-by-step explanation:

To find out Youseff's minimum mark on the fifth test to obtain grade A, we first need to calculate the total score he needs across all five tests. To have a mean score of 85 over five tests, the sum of his test scores needs to be at least 5 times 85, which is 425. Now, we add up the scores of the four tests Youseff has already completed: 86 + 94 + 75 + 88 = 343. Subtracting this from 425 gives us the minimum score Youseff needs on the fifth test: 425 - 343 = 82. However, since test scores are whole numbers and he needs to score '85 or more' on average, he must score at least 83.

It appears that there was an error in the choices provided since none of them correspond to the correct answer based on the calculations. The minimum mark Youseff must get is 83, which is not listed in the options.