How to calculate standard deviation from mean and probability?












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What's the formula to calculate the standard deviation knowing the mean and a certain probability, but not knowing all the n's.



http://stattrek.com/online-calculator/normal.aspx



For example, ^that calculator only requires mean and a probability of Z to calculate the mean... so how does it do that? What's the formula? And how can I do it by myself in a CAS software during an exam?










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    This the normal distribution and it has a known probability function and a standard table, it is a different case.
    $endgroup$
    – Semsem
    Apr 1 '14 at 22:52
















0












$begingroup$


What's the formula to calculate the standard deviation knowing the mean and a certain probability, but not knowing all the n's.



http://stattrek.com/online-calculator/normal.aspx



For example, ^that calculator only requires mean and a probability of Z to calculate the mean... so how does it do that? What's the formula? And how can I do it by myself in a CAS software during an exam?










share|cite|improve this question









$endgroup$








  • 1




    $begingroup$
    This the normal distribution and it has a known probability function and a standard table, it is a different case.
    $endgroup$
    – Semsem
    Apr 1 '14 at 22:52














0












0








0





$begingroup$


What's the formula to calculate the standard deviation knowing the mean and a certain probability, but not knowing all the n's.



http://stattrek.com/online-calculator/normal.aspx



For example, ^that calculator only requires mean and a probability of Z to calculate the mean... so how does it do that? What's the formula? And how can I do it by myself in a CAS software during an exam?










share|cite|improve this question









$endgroup$




What's the formula to calculate the standard deviation knowing the mean and a certain probability, but not knowing all the n's.



http://stattrek.com/online-calculator/normal.aspx



For example, ^that calculator only requires mean and a probability of Z to calculate the mean... so how does it do that? What's the formula? And how can I do it by myself in a CAS software during an exam?







standard-deviation






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asked Apr 1 '14 at 22:12









JohnJohn

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1112








  • 1




    $begingroup$
    This the normal distribution and it has a known probability function and a standard table, it is a different case.
    $endgroup$
    – Semsem
    Apr 1 '14 at 22:52














  • 1




    $begingroup$
    This the normal distribution and it has a known probability function and a standard table, it is a different case.
    $endgroup$
    – Semsem
    Apr 1 '14 at 22:52








1




1




$begingroup$
This the normal distribution and it has a known probability function and a standard table, it is a different case.
$endgroup$
– Semsem
Apr 1 '14 at 22:52




$begingroup$
This the normal distribution and it has a known probability function and a standard table, it is a different case.
$endgroup$
– Semsem
Apr 1 '14 at 22:52










1 Answer
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The formula for standard deviation is sqrt([sample size][probability of success](1-[probability of success])). To find the sample size from the mean and success rate, you divide the mean by the success rate. If mean=10 and success=0.2, you do 10/0.2 to get your sample size, or 50 in this case. Then you do sqrt(50*0.2*(1-0.2) to get about 2.83. There you go!






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    $begingroup$

    The formula for standard deviation is sqrt([sample size][probability of success](1-[probability of success])). To find the sample size from the mean and success rate, you divide the mean by the success rate. If mean=10 and success=0.2, you do 10/0.2 to get your sample size, or 50 in this case. Then you do sqrt(50*0.2*(1-0.2) to get about 2.83. There you go!






    share|cite|improve this answer









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      0












      $begingroup$

      The formula for standard deviation is sqrt([sample size][probability of success](1-[probability of success])). To find the sample size from the mean and success rate, you divide the mean by the success rate. If mean=10 and success=0.2, you do 10/0.2 to get your sample size, or 50 in this case. Then you do sqrt(50*0.2*(1-0.2) to get about 2.83. There you go!






      share|cite|improve this answer









      $endgroup$
















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        0





        $begingroup$

        The formula for standard deviation is sqrt([sample size][probability of success](1-[probability of success])). To find the sample size from the mean and success rate, you divide the mean by the success rate. If mean=10 and success=0.2, you do 10/0.2 to get your sample size, or 50 in this case. Then you do sqrt(50*0.2*(1-0.2) to get about 2.83. There you go!






        share|cite|improve this answer









        $endgroup$



        The formula for standard deviation is sqrt([sample size][probability of success](1-[probability of success])). To find the sample size from the mean and success rate, you divide the mean by the success rate. If mean=10 and success=0.2, you do 10/0.2 to get your sample size, or 50 in this case. Then you do sqrt(50*0.2*(1-0.2) to get about 2.83. There you go!







        share|cite|improve this answer












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        share|cite|improve this answer










        answered Apr 17 '14 at 4:22









        PlatypusVenomPlatypusVenom

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