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Normal Distribution

Forums › Ask ACCA Tutor Forums › Ask the Tutor ACCA MA – FIA FMA › Normal Distribution

  • 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
  • January 18, 2022 at 7:40 pm #646961
    Avatarmaximus07
    Participant
    • Topics: 446
    • Replies: 437
    • ☆☆☆☆

    A normal distribution has a mean of 75 and a variance of 25.

    What is the upper quartile of this distribution?
    58.25
    71.65
    78.35
    91.75.

    This is bpp kit question. I am unable to get how it get answer of 78.35.

    He is taking upper quartile as 0.67×5 = 3.35.
    Why is he taking 0.67?

    January 19, 2022 at 8:52 am #647000
    AvatarJohn Moffat
    Keymaster
    • Topics: 57
    • Replies: 54839
    • ☆☆☆☆☆

    The upper quartile is 25% (or 0.25) above the mean of 75.

    Working backwards using the tables, to end up with a probability of 0.25 then it must be 0.67 standard deviations about the mean. (0.67 gives 0.2486 which is nearer to 0.25 than if we had taken 0.68 which gives 0.2517).

    January 21, 2022 at 7:56 am #647175
    Avatarmaximus07
    Participant
    • Topics: 446
    • Replies: 437
    • ☆☆☆☆

    Thank you.

    January 21, 2022 at 10:31 am #647195
    AvatarJohn Moffat
    Keymaster
    • Topics: 57
    • Replies: 54839
    • ☆☆☆☆☆

    You are welcome.

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

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