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Prep Math question

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楼主
发表于 2012-1-22 01:20:34 | 只看该作者 回帖奖励 |倒序浏览 |阅读模式
Three boxes of supplies have an average weight of 7kg and a median weight of 9kg. What is the maximum possible weight, in kg, of the lightest box?

a. 1
b. 2
c. 3
d. 4
e. 5

Related to this, if I have 1, 2, 2, what is the median? Thanks.
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沙发
发表于 2012-1-22 01:22:40 | 只看该作者
is 2
板凳
 楼主| 发表于 2012-1-22 01:38:33 | 只看该作者
the answer is 3. I'm confused too. so what is the median if we have a series of 1, 2, 2 for example?
地板
发表于 2012-1-22 02:02:20 | 只看该作者
Sum=7*3=21
the median is 9 meaning A 9 B
A+B=21-9=12

You want to minimize B to maxmize A; in other words, B is at least 9. If B is at least 9, A has to be 12-9=3.
5#
 楼主| 发表于 2012-1-22 07:25:37 | 只看该作者
so, 3, 9, 9 的median is 9?
6#
发表于 2012-1-22 08:03:44 | 只看该作者
Yes; you should read Statistic foundation first.

Any odd set of numbers, the median is always the middle one.
Any even set of  numbers, the median is always the sum of the middle two divided by 2.
7#
 楼主| 发表于 2012-1-22 22:40:56 | 只看该作者
多谢。这样这道题就明白了。
8#
发表于 2012-7-4 00:51:58 | 只看该作者
thank you, tricky question with well explained answer
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