SOLUTION: Weston High School Enrollment Year Number of Students Enrolled 1992 x 1993 1552 1994 1238 1995 1459 1996 1351 This table shows student enrollment at Weston High School f

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Question 391935: Weston High School Enrollment
Year Number of Students Enrolled
1992 x
1993 1552
1994 1238
1995 1459
1996 1351

This table shows student enrollment at Weston High School from 1992 through 1996. If the median enrollment for the five years was 1351, and no two years had the same enrollment, what is the greatest possible value for x?

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

Weston High School Enrollment
Year	Number of Students Enrolled
1992	x
1993	1552
1994	1238
1995	1459
1996	1351


Since 1351 is the median, it is right in the middle of the five. Since none are
equal, there must be two values less than 1351 and two values greater than
1351. 1459 and 1552 must be the values greater than 1351, so 1238 and x must be
the two that are less than 1351.  We want x to be as large as possible, so we
must put x next to the least and make x as large as possible without exceeding
1351. And since x cannot equal 1351, the largest possible value for x is 1350.

Edwin

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