
It is currently Mon Dec 09, 2019 4:34 pm

View unanswered posts  View active topics

Page 1 of 1

[ 4 posts ] 

Author 
Message 
questioner

Post subject: GRE Statistics (Select One) Posted: Sat May 12, 2012 11:32 am 

Joined: Sun May 30, 2010 3:15 am Posts: 424

The distribution of seed pod diameters of a particular tree is normal (bellcurveshaped), with a mean of 3 inches and a standard deviation of 0.25 inches. Which is the closest proportion of seed pods that have a diameter between 2.75 inches and 3.25 inches?
A. 1/4 B. 1/3 C. 1/2 D. 2/3 E. 3/4
The correct answer is (D). The values 2.75 and 3.25 were obtained by subtracting one standard deviation from the mean of 3 to get 2.75 inches, and adding one standard deviation to it to get 3.25. A normal distribution has about 68 % of its data within one standard deviation of the mean. Of the answer choices, 2/3 is the closest value to 68%, and thus the answer is D.  This answer is not at all clear. Could you explain it better, please?
I will really appreciate it.


Top 


Gennadiy

Post subject: Re: t.1, s.2, qt.17: statistics, normal distribution. Posted: Sun May 13, 2012 3:13 am 

Joined: Sun May 30, 2010 2:23 am Posts: 498

First of all note: 68% is 0.68 2/3 is 0.66… ≈ 0.67
Secondly, you should review the facts about normal distribution.
This is the fact we use here: A normal distribution has about 68% of its data within one standard deviation of the mean.
Here is the diagram, which shows how the mean (3.00 inches) and the values 2.75 inch, 3.25 inch relate according to the 68%rule.
Each point represents the number of seed pods of a certain diameter.
The mean value is: (diameter1 × number1 + diameter2 × number2 + … + diameterN × numberN) / (number1 + number2 + … + numberN)
The grey points represent all seed pods that have their diameters between 2.75 and 3.25. There are (numberK + … + numberM) of those seed pods.
The theorem says that (numberK + … + numberM)/(number1 + … + numberN) is about 68%.


Top 


hgablid

Post subject: Re: GRE Statistics (Select One) Posted: Tue Aug 20, 2013 8:36 am 

Joined: Tue Aug 20, 2013 8:32 am Posts: 1

Hi ,
The answer is clear to me but for further understanding I have a question.How can be represent standard deviation on the graph of normal distribution?


Top 


Gennadiy

Post subject: Re: GRE Statistics (Select One) Posted: Thu Aug 22, 2013 3:08 am 

Joined: Sun May 30, 2010 2:23 am Posts: 498


Top 



Page 1 of 1

[ 4 posts ] 

Who is online 
Users browsing this forum: No registered users and 2 guests 

You cannot post new topics in this forum You cannot reply to topics in this forum You cannot edit your posts in this forum You cannot delete your posts in this forum You cannot post attachments in this forum

