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7 September, 06:20

The course grade in a statistics class is the average of the scores on five examinations. Suppose that a student's scores on the first four examinations (out of 100) are 66, 78, 94, and 83. What is the highest course average possible after the last examination? A) 6 B) 100 C) 84 D) 80

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  1. 7 September, 06:46
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    84 is the highest possible course average

    Step-by-step explanation:

    Total number of examinations = 5

    Average = sum of scores in each examination/total number of examinations

    Let the score for the last examination be x.

    Average = (66+78+94+83+x) / 5 = y

    5y = 321+x

    x = 5y - 321

    If y = 6, x = 5*6 - 321 = -291. the student cannot score - 291

    If y = 80, x = 5*80 - 321 = 79. he can still score higher

    If If y = 84, x = 5*84 - 321 = 99. This would be the highest possible course average after the last examination.

    If y = 100

    The average cannot be 100 as student cannot score 179 (maximum score is 100)
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