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 1 year ago by John Moffat.
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- December 3, 2022 at 9:10 am #673197
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
5Frequency
3
5
10
14
8What 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,
SaraDecember 3, 2022 at 4:33 pm #673243Yes, 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 #674934Yes 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 = 1.525Next step is to square so (answers in order);
6.13
2.18
0.23
0.28
2.33The 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 helpThanks,
SaraDecember 20, 2022 at 8:42 am #674951You are forgotten to multiply the squares of the deviations by the frequencies 🙂
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