Normal distribution

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May 3, 2021 at 12:06 pm #619531
rania9
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In a normal distribution with a mean of 240, 34% of the population lies between 220 and 260.
The standard deviation of the distribution is?

Could you please advise for the below?
May 3, 2021 at 8:06 pm #619590
rania9
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I think ,I found the answer but please advise if my concern is right.

Thank you in advance.

As mean is 240 and 34% lies between 220 & 260 ,the standard deviation will be between 240 & 260 ,that means at the half of 34% ,so 17% .
260-240/? =17% and from the table 0.44 so 260-240/?=0,44=20/0.44=?=45.45
May 8, 2021 at 9:38 pm #620091
rania9
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In a normal distribution with a mean of 240, 34% of the population lies between 220 and 260.
The standard deviation of the distribution is?

As mean is 240 and 34% lies between 220 & 260 ,the standard deviation will be between 240 & 260 ,that means at the half of 34% ,so 17% .
260-240/s =17% and from the table 0.44 so 260-240/s=0,44=20/0.44=s=45.45

Could you please advise if the answer is correct?
where s=standard deviation
June 2, 2021 at 2:04 pm #622779
Cath
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Hi Rania,
Sorry for the delay – I missed this post.

Yes your workings are correct

s= 45.45

perfect

Thanks
Cath
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