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standard deviation

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › standard deviation

  • This topic has 3 replies, 2 voices, and was last updated 4 years ago by AvatarJohn Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • October 9, 2021 at 8:54 am #637299
    Avatarjohnbriane
    Member
    • Topics: 170
    • Replies: 159
    • ☆☆☆

    the percentage probability that a student will score more than 90%in an accounting exam is 60%.
    the marks scored from the accounting exam follow a standard normal distribution with a mean mark of 70%.

    what is the standard deviation for the distribution ?

    sir in this question which i have created

    will the below be the answer

    Z = 1 – 0.6 = 0.4
    so from the table = 1.28

    z score = x – the mean / standard deviation

    so
    20/1.28 = 15.625

    is the answer correct as per what i have done sir

    will the standard deviation be 15.625 ?

    October 9, 2021 at 2:06 pm #637345
    AvatarJohn Moffat
    Keymaster
    • Topics: 57
    • Replies: 54838
    • ☆☆☆☆☆

    The question as you have typed it is impossible.

    Given that the distribution is symmetrical about the mean, there is a 50% probability of them scoring more than 70% in the exam.

    The probability of them scoring more than 90% in the exam must therefore be less than 50%. It cannot be more than 50%.

    October 11, 2021 at 8:07 am #637426
    Avatarjohnbriane
    Member
    • Topics: 170
    • Replies: 159
    • ☆☆☆

    thank you sir

    October 11, 2021 at 9:07 am #637436
    AvatarJohn Moffat
    Keymaster
    • Topics: 57
    • Replies: 54838
    • ☆☆☆☆☆

    You are welcome

  • Author
    Posts
Viewing 4 posts - 1 through 4 (of 4 total)
  • The topic ‘standard deviation’ is closed to new replies.

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