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?

Guest Sep 29, 2020

#3**+1 **

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

ElectricPavlov Sep 29, 2020