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请教大家几道PREP上我怎么也看不懂的题目

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楼主
发表于 2006-11-27 15:43:00 | 只看该作者

请教大家几道PREP上我怎么也看不懂的题目

两道关于standard deviation的,我实在是不明白这个standard deviation below the mean是什么意思?

1.The distribution of results of survay had a mean of 21hours and a standard deviation of 6. The number of hours of Pat(是一個人)watch tv last week was between 1 and 2 standard deviations below the mean. Pat上周可能看了多少小時的電視?
   

a.30 b.20 c.18 d.12 e.6

 

答案:d

 

2.  7075808590105105130130130

The list shown consists of the times, in seconds, that it took each of 10 school children to run a distance of 400 meters. If the standard deviation of the 10 running times is 22.4 seconds, rounded to the nearest tenth of a second, how many of the running times are more than 1 standard deviation below the mean of the 10 running times?

A.      One  B.two  C.three  D.four  E.five

 

ANSWER:B

 

3. DS If 500 is the multiple of 100 that is closest to X and 400 is the multiple of 100 that is closest to Y, which multiple of 100 is closest to X+Y?

 1)x<500

2) y<400

ANSWER E

4.The function f is defined for all positive integers n by the following rule: f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. If p is any prime number, then f(p)=?

A.p-1  B.p-2 C.(p+1)/2  D.(p-1)/2  E.2

 

Answer:A

后天就考试了,题目还看不懂..晕死了~

拜托大家了!


[此贴子已经被作者于2006-11-27 16:14:33编辑过]
沙发
发表于 2006-11-27 16:08:00 | 只看该作者

The distribution of results of survay had a mean of 21hours and a standard deviation of 6. The number of hours of Pat(是一個人)watch tv last week was between 1 and 2 standard deviations below the mean. Pat上周可能看了多少小時的電視?
                

standard deviations is 6,mean is 21, 2 standard deviations below the mean is 21-2*6=9

板凳
 楼主| 发表于 2006-11-27 16:15:00 | 只看该作者

啊谢谢,我现在算是明白 standard deviation的意思了...

地板
发表于 2006-11-27 16:22:00 | 只看该作者

4.The function f is defined for all positive integers n by the following rule: f(n) is the number of positive integers each of which is less than n and has no positive factor in common with n other than 1. If p is any prime number, then f(p)=?

对于函数f,被定义为:对于所有正整数n,f(n)是小于n的正整数的个数,这些正整数必须和n没有共同的正因子(1除外),如果p是质数,f(p)=?

质数只有2个因子,1和本身,比p小的正整数一共P-1个,这些数字不可能和p有公因子。

5#
 楼主| 发表于 2006-11-27 16:39:00 | 只看该作者
太感谢了!!悟了!
6#
发表于 2006-11-27 16:45:00 | 只看该作者

3. DS If 500 is the multiple of 100 that is closest to X and 400 is the multiple of 100 that is closest to Y, which multiple of 100 is closest to X+Y?

 1)x<500

2) y<400

500是100的倍数中最靠近x的,450<X<550

400......................................Y...,   350<Y<450

800<x+y<1000   将2个条件代入800<X+Y<900,由于不知道和850的关系,所以无法确定最接近的是800还是900

7#
发表于 2006-11-28 02:17:00 | 只看该作者

I am not a NN, but try to help...

2.  7075808590105105130130130

The list shown consists of the times, in seconds, that it took each of 10 school children to run a distance of 400 meters. If the standard deviation of the 10 running times is 22.4 seconds, rounded to the nearest tenth of a second, how many of the running times are more than 1 standard deviation below the mean of the 10 running times?

A.      One  B.two  C.three  D.four  E.five

1. the mean of the 10 running times:

(70+75+80+85+90+105+105+130+130+130)/10=100

2. 1 standard deviation below:

 below 100-22.5=77.5

3. 70, 75 are the times meets the requirement --> answer B

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