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标题: Answer for a median/range question [打印本页]

作者: pgclt    时间: 2002-10-4 21:06     标题: Answer for a median/range question

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.
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Answer: I, II, III.

My answer is I and II. can someone confirm.  thanks!
作者: tongxun    时间: 2002-10-5 00:48

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
作者: pgclt    时间: 2002-10-5 00:56

Got it.  I started thinking about different numbers.   I am clear now. Thanks for the reply!
作者: tongxun    时间: 2002-10-5 01:00

pgclt你对我的帮助这么大,还用说谢谢吗?




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