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数学机经16题 median salary for the company

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楼主
发表于 2011-8-21 17:52:05 | 只看该作者 回帖奖励 |正序浏览 |阅读模式
我记得是GWD上的题,因此搜索了一下。原题应该是:
In a company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company?
a) 43.000
b) 45.500
c) 46.000
d) 49.000
e) 50.000


In a company 60% of the employees earn less than $50,000 a year, 60% of the employees earn more than $40,000 a year, 11% of the employees earn $43,000 a year and 5% of the employees earn $49,000 a year. What is the median salary for the company?

60% of the employees earn less than $50,000 a year
=> 40% earn greater than 50,000 a year.

60% of the employees earn more than $40,000 a year
=> 40% earn less than 40,000 a year..

Let there are 100 employess
then, to calculate median we need salary of 50th employee and 51th employee.

Then, median = (salary of 50th employee + salary of 51th employee)/2
40 people<40000 $40,000 20 people $50,000 40 people > 50,000
--------------------------*----------------*----------------------

Salary of 11 people = 43,000
Salary of 5 people = 49,000
whtever, be the case, 50th and 51th salary would be 43,000 and 43,000

Hence, median=(2*43.000)/2=43.000

希望对大家有帮助。
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10#
发表于 2011-8-31 15:16:41 | 只看该作者
如果是求平均数呢?
9#
 楼主| 发表于 2011-8-22 22:07:25 | 只看该作者
应该是前面五套之内吧,我也只做了那么几套。具体我就不记得了,我是直接在谷歌上搜索的。
8#
发表于 2011-8-22 21:57:57 | 只看该作者
楼主这是哪套啊?
7#
发表于 2011-8-21 21:20:22 | 只看该作者
谢谢!~
6#
发表于 2011-8-21 21:19:21 | 只看该作者
原题好像不是这个数据 这个数据算出来中间那段是20人 那么拥有十一人的那个salary当然是中位数 可是如果中间那段的人数是大于11的两倍 比如23人呢 是不是就没法算出中位数了?
5#
发表于 2011-8-21 21:14:20 | 只看该作者
顶!!
地板
发表于 2011-8-21 21:06:16 | 只看该作者
ding
板凳
发表于 2011-8-21 19:50:15 | 只看该作者
of course A!
沙发
发表于 2011-8-21 18:42:26 | 只看该作者
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