The five-number summary {58,70,82,90,98}{58,70,82,90,98} represents the test scores for an English class. If 200 students sat the test, how many students scored a mark below 70?
Question
The five-number summary {58,70,82,90,98}{58,70,82,90,98} represents the test scores for an English class. If 200 students sat the test, how many students scored a mark below 70?
Solution
The five-number summary represents the minimum score, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum score respectively.
In this case, the minimum score is 58, Q1 is 70, the median is 82, Q3 is 90, and the maximum score is 98.
The first quartile (Q1) is the score below which 25% of the data falls. So, if 200 students sat the test, 25% of them scored below 70.
To find out how many students scored below 70, you calculate 25% of 200:
0.25 * 200 = 50
So, 50 students scored below 70.
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