Answer for a median/range question

pgclt

7 numbers, median is 10, range is 70. the median of three largest numbers is 30. what's possible value of the RANGE of three smallest numbers.
I. 0; II. 30; III.50.
---------------------------------
Answer: I, II, III.

My answer is I and II. can someone confirm.  thanks!

tongxun

the median of three largest numbers is 30.则最大的数应该大于等于30。
设数字的大小排列为：A、B、C、D、E、F、G。
G-A=70，G=70+A;
G>=30, 70+A>=30,A>=-40.
because the median is 10, and the smallest number may be -40.
so the range may be 10-(-40)=50

pgclt

Got it.  I started thinking about different numbers.   I am clear now. Thanks for the reply!

tongxun

pgclt你对我的帮助这么大，还用说谢谢吗？