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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 3 years ago by John Moffat.
Viewing 4 posts - 1 through 4 (of 4 total)
  • Author
    Posts
  • December 3, 2022 at 9:10 am #673197
    saraverzin
    Participant
    • Topics: 6
    • Replies: 6
    • ☆

    Hi good morning,

    In the Kaplan exam kit came across a question related to standard deviation that I cannot get correct. In the answers the book uses a different method than the one we are taught (finding average, finding the difference, squaring that difference and finding the average) so I cannot compare to find out what I’m doing wrong..

    The following shows the number of orders placed by the customers in the last period

    No. of orders
    1
    2
    3
    4
    5

    Frequency
    3
    5
    10
    14
    8

    What is the standard deviation of the above data?

    Appreciate your help in solving this!
    As a starting point, am I correct in saying 3.475 is the average (Step 1)?

    Thanks,
    Sara

    December 3, 2022 at 4:33 pm #673243
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54830
    • ☆☆☆☆☆

    Yes, you are correct in saying that the average is 3.475.

    I do not know what Kaplan has done, but if you follow the same steps as in my lecture you will come to the correct standard deviation 🙂

    December 19, 2022 at 10:22 pm #674934
    saraverzin
    Participant
    • Topics: 6
    • Replies: 6
    • ☆

    Yes I am following the video but still cannot understand what I’m doing wrong.
    If the average is 3.475, the next step is to do x – average x
    1 – 3.475 = -2.475
    2 – 3.475 = -1.475
    3 – 3.475 = -0.475
    4 – 3.475 = 0.525
    5 – 3.475 = 1.525

    Next step is to square so (answers in order);
    6.13
    2.18
    0.23
    0.28
    2.33

    The sum of all this is 11.13

    11.13/40 = 0.28

    Square root of 0.28 = 0.53

    Do you agree with my answer 0.53 please?
    Appreciate your help

    Thanks,
    Sara

    December 20, 2022 at 8:42 am #674951
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54830
    • ☆☆☆☆☆

    You are forgotten to multiply the squares of the deviations by the frequencies 🙂

  • Author
    Posts
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