VeritasPrepKarishma wrote:
shankar245 wrote:
Hi Bunuel/Karihsma,
Can you please may be explain in a bit more detail the minimum part.
I'm stuck with question of possibilities, I mean what if the first set had this value or that value.
thanks
The minimum range of the entire group will be the maximum range of individuals.
Say there are 3 people:
Anna - 30, 38, 45, 46, 47 - Range 17
Beth - 20, 29, 36, 39, 48 - Range 28
Candi - 20, 25, 39, 49, 55 - Range 35
So Candi has 2 scores such that they have a difference of 35 between them (the smallest and the greatest scores).
When we put everyone's scores together and try to find the range, these two scores will still be there. There is a difference of 35 between them and that will stay. So no matter what, the range will be at least 35. In this case the lowest score out of all is 20 and highest is 55 so the range will be 35.
It could be more as well. E.g.
Anna - 30, 38, 45, 46, 47 - Range 17
Beth - 10, 19, 26, 29, 38 - Range 28
Candi - 20, 25, 39, 49, 55 - Range 35
Now taking all scores together, lowest score is 10 and highest is 55 so range becomes 45.
It can keep increasing in this way.
I'm trying to understand this question and the closest I can get to understanding is your answer. However, the original question does not tell us what their individual scores were. It only gives us ranges. Is your explanation still valid if their scores were:
Anna: 6, 12, 14, 16, 23 - range 17
Beth: 8, 10, 12, 14, 36 - range 28
Candi: 10, 12, 14, 20, 45 - range 35
Wouldn't now the minimum range be from 6-45, which is 39? The question tells us the ranges, it seems to me that everyone just assumes that Anna's lowest score was higher than Beth's and Candi's lowest score and that Anna's highest score is also lower than Beth's and Candi's (so that her scores fall right in the middle of the other two's scores and so on).
Thank you!