Question
The average score of a class of 25 students is 70. If
the highest score is 100 and the lowest score is 40, what is the range of the scores?Solution
The range of the scores is the difference between the highest and lowest scores. We know that the highest score is 100 and the lowest score is 40. Let's find the total score of all 25 students: Total score = Average score x Number of students Total score = 70 x 25 Total score = 1750 We can find the minimum possible total score by assuming that all students scored 40. In that case, the total score would be: Minimum total score = 40 x 25 = 1000 Therefore, the range of the scores is: Maximum possible total score - Minimum possible total score Range = 1750 - 1000 Range = 750
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