Cameron took 4 tests, and his scores were as follows: 100 , 60 , 80 , and 30 . Cameron took another test that was scored x . The mean score of the 5 tests he took is 72 . What is the value of x ?
Correct answer: D
Explanation from ACT Education Corp.
This question also appears in ACT QuizMe official practice questions, which explains every answer choice.
A. Incorrect. Make sure that you include x in the average of the exam scores. You may have only summed the first four exam scores when calculating the exam average: .
B. Incorrect. Make sure that you include the fifth exam in the average. You may have only averaged the first four exams: .
C. Incorrect. Keep in mind that the average should be set equal to 72. You may have included 72 in the exam average: .
D. Correct. To calculate the mean (average) score of the 5 tests, sum the individual scores and divide that sum by the number of tests: . Set this fraction equal to the given average score, ; then, multiply by 5 and subtract 270 to calculate .
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