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Normal distribution

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

  • This topic has 1 reply, 2 voices, and was last updated 2 years ago by John Moffat.
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  • November 16, 2022 at 8:51 pm #671650
    zara544
    Participant
    • Topics: 1
    • Replies: 0
    • ☆

    The results of a chemistry examination are normally distributed with a mean score of 56 and a standard deviation of 12.
    What is the percentage probability that a student will score more than 80?

    the answer is

    28%
    Z-score = (x -?)/?
    Therefore: (80 –56)/12 = 2
    From the normal distribution table, 2 = 0.4772
    To find the probability of scoring more than 80: 0.5 –0.4772 = 0.0228 or 2.28% as a %.

    where does the 0.5 come from? is it always 0.5 in these questions?

    November 17, 2022 at 8:33 am #671685
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54664
    • ☆☆☆☆☆

    The 0.5 is because in a normal distribution always 50% (or 0.5) are above the mane and 0.5 are below the mean, because it is symmetrical.

    I do suggest that you watch my free lectures on this where I do explain it.

    The lectures are a complete free course for Paper MA and cover everything needed to be able to pass the exam well.

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