Laura will have seven test scores at the end of the semester. Each of the scores is a positive integer less than or equal to 100. Her first five scores are 80,83,87,94, and 96. How many different values are possible for the median of her seven scores?
+37159 Is it 12 ? Hmmmm.....
80 83 87 94 96 currently 87 is the median
if the next two scores are >87
80 83 87 x x 94 96 one of the x's becomes the median (x could be 87 -100) (14 ways)
if one is higher than 87 and one is lower
80 83 x 87 x 94 96 87 is the median (1)
if both are lower than 87
80 83 x x 87 94 96 one of the x's becomes the median x could be any score 1 - 86 (86 ways) ('0' score not possible)
So I THINK it is 14 + 1 + 86 different median scores
