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October 21, 2025, 05:19:00 pm

Author Topic: standard deviation  (Read 3035 times)  Share 

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abzzzz

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standard deviation
« on: October 30, 2011, 08:14:08 pm »
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Hey guys, quick question.
When finding the SD, do you divide the range by 4 or 6?

i heard it was by 4, but i'm getting the wrong answer. If i were given numbers, i could plug it in list1 on my calc, but i have to read a graph.

just wondering how you guys work it out?
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Natters

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Re: standard deviation
« Reply #1 on: October 30, 2011, 08:34:50 pm »
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range/4 is only an estimation to determine the standard deviation im pretty sure
like, you know that 68/95/99.7 rule yeah
if it was range/4 to find the exact value then 100% of the data would lie between two standard deviations from the mean (=4 deviations) so 95%=100% bumbow.
you gotta do this big table thing and find like a billion different values to do it by hand, and i only know how to use the TI-89, what calc you using?

abzzzz

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Re: standard deviation
« Reply #2 on: October 30, 2011, 08:47:26 pm »
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i use the ti-89 too aha, it's simple finding it through that, but by hand, bit confusing.
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Natters

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Re: standard deviation
« Reply #3 on: October 30, 2011, 08:53:29 pm »
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it's not that bad, just time consuming as fck
basically, you just find the mean, write all your x values in a vertical line, then the x-mean values to the right of that line, then your (x-mean)^2 values in another line to the right of that
add the last line together, divide it by the sample size-1 and then square root that number and you have your answer

if any of you math gods out there know a way to do it faster,,, i want

MJRomeo81

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Re: standard deviation
« Reply #4 on: October 31, 2011, 12:08:18 am »
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it's not that bad, just time consuming as fck
basically, you just find the mean, write all your x values in a vertical line, then the x-mean values to the right of that line, then your (x-mean)^2 values in another line to the right of that
add the last line together, divide it by the sample size-1 and then square root that number and you have your answer
Then you missed a decimal place somewhere, and VCAA says "to one decimal place" just to piss you off.

Nah look do it through the calc. There is so much time in the exam. People keep raving about how you need to work fast. Please. If you've mastered one module (or possibly more) there's no need to be worried about time. Plug in the values in the calc, and let it do the dirty work. While you're at it, you get the mean, median, whole 5 number summary, etc. Usually VCAA like to ask for a few values, not just standard deviation.
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abzzzz

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Re: standard deviation
« Reply #5 on: October 31, 2011, 12:26:12 am »
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from 2010 exam 1 i think q3, how would you find the SD? what would you plug into the calc
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acrimony

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Re: standard deviation
« Reply #6 on: October 31, 2011, 02:03:27 am »
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Ayri just use the 68–95–99.7% rule

Danielhogz

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Re: standard deviation
« Reply #7 on: October 31, 2011, 10:33:09 am »
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IN the exam last year you had to estimate using 68-95-99.7 rule. To do this you had to divide the range by 6 as essentially 99.7 or approx 100% of data lies within 6 standard deviations

Hodgeyhodgey

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Re: standard deviation
« Reply #8 on: October 31, 2011, 11:35:22 am »
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With Q3 on the 2010 MC exam, the simplest way of estimating the SD without using any formulas would be to look at the graph. You know that 68% lie within 1 SD of the mean right? Or even 34% either side?

Well, if you look at the graph and you use the median 180 (rather than calculating the mean, as it's approx. symmetrical so it shouldn't matter too much) all you need to do it count 34% either side of 180 which will give you ~178 and ~182 and there you have it, a SD of 2!
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Keki

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Re: standard deviation
« Reply #9 on: October 31, 2011, 04:40:28 pm »
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Ahhh so that's how you work that question! I was confused by that :P
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nemolala

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Re: standard deviation
« Reply #10 on: October 31, 2011, 04:45:03 pm »
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you might her helpful for certain topics http://www.youtube.com/user/vcefurthermaths#p/u/7/w3FAiRoiLAA

iroflmfao

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Re: standard deviation
« Reply #11 on: October 31, 2011, 05:16:28 pm »
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divide by 6 if it is normal distribution

chelseaFC

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Re: standard deviation
« Reply #12 on: November 03, 2011, 05:42:41 pm »
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I have been told its range divided by 4 not 6?

Wezanator123

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Re: standard deviation
« Reply #13 on: November 03, 2011, 06:02:28 pm »
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as mentioned above dividing by 4 is only an estimation

spikey

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Re: standard deviation
« Reply #14 on: November 03, 2011, 08:37:28 pm »
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With Q3 on the 2010 MC exam, the simplest way of estimating the SD without using any formulas would be to look at the graph. You know that 68% lie within 1 SD of the mean right? Or even 34% either side?

Well, if you look at the graph and you use the median 180 (rather than calculating the mean, as it's approx. symmetrical so it shouldn't matter too much) all you need to do it count 34% either side of 180 which will give you ~178 and ~182 and there you have it, a SD of 2!

how come it is a SD of 2 from 178 - 182?