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请教PREP上一道关于standard deviation的数学题

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楼主
发表于 2009-4-19 18:06:00 | 只看该作者

请教PREP上一道关于standard deviation的数学题

The arithmatic mean and standard deviation of a certain normal distribution are 13.5 and 1.5, respectively. What value is exactly 2 standard deviations less than the mean?

A 10.5

B 11.0

C 11.5

D 12.0

E 12.5

什么是 2 standard deviations less than the mean? 怎么求,谢谢高手赐教!

沙发
发表于 2009-4-19 19:41:00 | 只看该作者

貌似是13.5-1.5*2=10.5

我也不是很肯定的说

板凳
 楼主| 发表于 2009-4-19 22:16:00 | 只看该作者

谢谢MM,不过感觉不是这个意思吧,有没有高手帮我解答一下,谢谢

地板
发表于 2009-4-19 23:04:00 | 只看该作者

我觉得2楼说对了,请问答案是10.5吗?

5#
发表于 2009-4-20 04:59:00 | 只看该作者
好像是A
查了一下定义
The central limit theorem says that the distribution of a sum of many independent, identically distributed random variables tends towards the normal distribution.
If a data distribution is approximately normal then about 68% of the
values are within 1 standard deviation of the mean (mathematically, μ ±
σ, where μ is the arithmetic mean), about 95% of the values are within
two standard deviations (μ ± 2σ), and about 99.7% lie within 3 standard
deviations (μ ± 3σ). This is known as the 68-95-99.7 rule, or the empirical rule.
6#
 楼主| 发表于 2009-4-20 09:22:00 | 只看该作者

原来真的是这样啊,答案是A,谢谢

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