The five-number summary {58,70,82,90,98}{58,70,82,90,98} represents the test scores for an English class. If 400 students sat the test, how many students scored a mark above 90?
Question
The five-number summary {58,70,82,90,98}{58,70,82,90,98} represents the test scores for an English class. If 400 students sat the test, how many students scored a mark above 90?
Solution
The five-number summary represents the minimum score, first quartile (Q1), median (Q2), third quartile (Q3), and maximum score respectively. In this case, the third quartile (Q3) is 90, which means that 75% of the students scored 90 or below, and 25% of the students scored above 90.
If there are 400 students in total, then the number of students who scored above 90 would be 25% of 400.
To calculate this, you multiply 400 by 0.25 (which is the decimal equivalent of 25%).
400 * 0.25 = 100
So, 100 students scored above 90 on the test.
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