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A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
Re: Standard deviation of the mean? [#permalink]
03 Nov 2010, 08:19
5
This post received KUDOS
Expert's post
1
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MICKEYXITIN wrote:
hi Bunuel, I have not get clear why you take: 1.5*0.3 did i miss something? Please explain for me
We are given that SD=0.3 and mean=8.1. Question: how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
1.5 standard deviation equals to 1.5*SD=1.5*0.3=0.45, so "within 1.5 standard deviation of them mean" - means in the range {8.1-0.45; 8.1+0.45} = {7.65; 8.55}.
Re: Standard deviation of the mean? [#permalink]
03 Nov 2010, 09:23
Bunuel wrote:
MICKEYXITIN wrote:
hi Bunuel, I have not get clear why you take: 1.5*0.3 did i miss something? Please explain for me
We are given that SD=0.3 and mean=8.1. Question: how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
1.5 standard deviation equals to 1.5*SD=1.5*0.3=0.45, so "within 1.5 standard deviation of them mean" - means in the range {8.1-0.45; 8.1+0.45} = {7.65; 8.55}.
Hope it's clear.
yes thanks Bunuel, i got it clear _________________
Consider giving me kudos if you find my explanations helpful so i can learn how to express ideas to people more understandable.
Re: Standard deviation of the mean? [#permalink]
12 Nov 2012, 09:25
Bunuel wrote:
MICKEYXITIN wrote:
hi Bunuel, I have not get clear why you take: 1.5*0.3 did i miss something? Please explain for me
We are given that SD=0.3 and mean=8.1. Question: how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
1.5 standard deviation equals to 1.5*SD=1.5*0.3=0.45, so "within 1.5 standard deviation of them mean" - means in the range {8.1-0.45; 8.1+0.45} = {7.65; 8.55}.
Hope it's clear.
Does the range include specifically numbers 7.65 and 8.55?
Re: Standard deviation of the mean? [#permalink]
12 Nov 2012, 09:37
Expert's post
NON wrote:
Bunuel wrote:
MICKEYXITIN wrote:
hi Bunuel, I have not get clear why you take: 1.5*0.3 did i miss something? Please explain for me
We are given that SD=0.3 and mean=8.1. Question: how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
1.5 standard deviation equals to 1.5*SD=1.5*0.3=0.45, so "within 1.5 standard deviation of them mean" - means in the range {8.1-0.45; 8.1+0.45} = {7.65; 8.55}.
Hope it's clear.
Does the range include specifically numbers 7.65 and 8.55?
Luckily we don't need to worry about it for this question, though I'd say yes, the range has to be inclusive. _________________
Re: Standard deviation of the mean? [#permalink]
17 Sep 2013, 02:37
Bunuel wrote:
MICKEYXITIN wrote:
hi Bunuel, I have not get clear why you take: 1.5*0.3 did i miss something? Please explain for me
We are given that SD=0.3 and mean=8.1. Question: how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
1.5 standard deviation equals to 1.5*SD=1.5*0.3=0.45, so "within 1.5 standard deviation of them mean" - means in the range {8.1-0.45; 8.1+0.45} = {7.65; 8.55}.
Hope it's clear.
Hello Bunuel, Would you please clear one doubt. The question states that "how many of the 12 listed amounts are within1.5 standard deviation of the mean? In this case, do we need to consider boundary values as well such as (7.65) and (8.55). I mean, If the question had 7.65 value, then would we have considered 7.65 value ? i.e 7.65<= std deviation <= 8.55 is the range Another doubt: If the question had asked Question: how many of the 12 listed amounts are between 1.5 standard deviation of the mean?, and the answer choice had 7.65 as the value
Then, do we need to consider 7.65 value while answering ? I believe, not and 7.65< std deviation < 8.55 will be the range Please provide your comments. _________________
Re: Standard deviation of the mean? [#permalink]
17 Sep 2013, 02:41
2
This post received KUDOS
Expert's post
4
This post was BOOKMARKED
imhimanshu wrote:
Bunuel wrote:
MICKEYXITIN wrote:
hi Bunuel, I have not get clear why you take: 1.5*0.3 did i miss something? Please explain for me
We are given that SD=0.3 and mean=8.1. Question: how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
1.5 standard deviation equals to 1.5*SD=1.5*0.3=0.45, so "within 1.5 standard deviation of them mean" - means in the range {8.1-0.45; 8.1+0.45} = {7.65; 8.55}.
Hope it's clear.
Hello Bunuel, Would you please clear one doubt. The question states that "how many of the 12 listed amounts are within1.5 standard deviation of the mean? In this case, do we need to consider boundary values as well such as (7.65) and (8.55). I mean, If the question had 7.65 value, then would we have considered 7.65 value ? i.e 7.65<= std deviation <= 8.55 is the range Another doubt: If the question had asked Question: how many of the 12 listed amounts are between 1.5 standard deviation of the mean?, and the answer choice had 7.65 as the value
Then, do we need to consider 7.65 value while answering ? I believe, not and 7.65< std deviation < 8.55 will be the range Please provide your comments.
Re: A vending machine is designed to dispense 8 ounces of coffee [#permalink]
03 Nov 2014, 08:00
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A vending machine is deisgned to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounce, how many of the 12 listed amounts are within 1.5 standard deviations of the mean
A vending machine is deisgned to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounce, how many of the 12 listed amounts are within 1.5 standard deviations of the mean
A vending machine is designed to dispense 8 ounces of coffee [#permalink]
18 Dec 2015, 04:09
I understand that this is an old post. But all the explanations above dont make sense to me. none really makes sense to me. The standard deviation question is one i havent got a good grip of. i solicit the help of experts like @veritasprep or if I'm lucky, GMATPrepNow
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
A. Four B. Six C. Nine D. Ten E. Eleven
Mean = 8.1 Standard Deviation = 0.3
within 1.5 standard deviation of the mean
i.e. 1.5 standard deviation ABOVE the mean = 8.1+1.5*0.3 = 8.55 and 1.5 standard deviation BELOW the mean = 8.1-1.5*0.3 = 7.65
Except first value 7.51, all other values are within the range hence, 11 values fall within 1.5 SD from Mean
Classroom Centre Address: GMATinsight 107, 1st Floor, Krishna Mall, Sector-12 (Main market), Dwarka, New Delhi-110075 ______________________________________________________ Please press the if you appreciate this post !!
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
A. Four B. Six C. Nine D. Ten E. Eleven
Mean = 8.1 Standard Deviation = 0.3
within 1.5 standard deviation of the mean
i.e. 1.5 standard deviation ABOVE the mean = 8.1+1.5*0.3 = 8.55 and 1.5 standard deviation BELOW the mean = 8.1-1.5*0.3 = 7.65
Except first value 7.51, all other values are within the range hence, 11 values fall within 1.5 SD from Mean
Answer: Option E
Thanks GMATinsight but why did you have multiply 1.5 with 0.3?
A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data above. If the 1000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounces, how many of the 12 listed amounts are within 1.5 standard deviation of the mean?
A. Four B. Six C. Nine D. Ten E. Eleven
Mean = 8.1 Standard Deviation = 0.3
within 1.5 standard deviation of the mean
i.e. 1.5 standard deviation ABOVE the mean = 8.1+1.5*0.3 = 8.55 and 1.5 standard deviation BELOW the mean = 8.1-1.5*0.3 = 7.65
Except first value 7.51, all other values are within the range hence, 11 values fall within 1.5 SD from Mean
Answer: Option E
Thanks GMATinsight but why did you have multiply 1.5 with 0.3?
1.5 standard deviation means 1.5*Standard Deviation
i.e. 1.5 standard deviation ABOVE the mean = 8.1+1.5*0.3 = 8.55 and 1.5 standard deviation BELOW the mean = 8.1-1.5*0.3 = 7.65
Classroom Centre Address: GMATinsight 107, 1st Floor, Krishna Mall, Sector-12 (Main market), Dwarka, New Delhi-110075 ______________________________________________________ Please press the if you appreciate this post !!
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