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Normal distribution

Forums › Ask CIMA Tutor Forums › Ask CIMA BA2 Tutor Forums › Normal distribution

  • This topic has 3 replies, 2 voices, and was last updated 1 year ago by Cath.
Viewing 4 posts - 1 through 4 (of 4 total)
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  • May 3, 2021 at 12:06 pm #619531
    rania9
    Member
    • Topics: 3
    • Replies: 3
    • ☆

    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
    Member
    • Topics: 3
    • Replies: 3
    • ☆

    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
    Member
    • Topics: 3
    • Replies: 3
    • ☆

    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
    Member
    • Topics: 0
    • Replies: 423
    • ☆☆☆

    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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