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Mathematics 16 Online
OpenStudy (nottim):

what does x nomial mean in the % inaccuracy formula in (d)= ((xbar-xnominal)/xnominal)*100

OpenStudy (mathmath333):

which chapter is this from

OpenStudy (nottim):

It's a lab.

OpenStudy (nottim):

\[(d)=\frac{ xbar-x _{nominal} }{x _{nominal}}\]

OpenStudy (nottim):

Is the formula. xbar is an x with a line over it. It represents average I think.

OpenStudy (nottim):

@mathmat33 any ideas? what xnominal is?

OpenStudy (nottim):

@mathmath333 typed that wrong oops

OpenStudy (mathmath333):

\(\large\tt \color{black}{ ~accuracy~formula=\dfrac{x-y}{y}}\) this i gor

OpenStudy (mathmath333):

not sure

OpenStudy (nottim):

xbar is average or mean of some sort. x nominal though. I do not know

OpenStudy (nottim):

@satellite73 test 1

OpenStudy (nottim):

Would this be the data I collected then?

OpenStudy (cj49):

i dun have any idea mate..i just googled it and this is wat i found X=nominal or ordinal variable, Y=nominal or ordinal variable

OpenStudy (nottim):

If it helps, the fill in the blank area states: Systematic Error % Innaccuracy d.

OpenStudy (cj49):

m sorry mate i have no idea...

OpenStudy (nottim):

But there only seems to be 1 space, so it can't be 1 calculation for every value I obtained from the lab, its 1 calculation for each volume measured.

OpenStudy (nottim):

anyone else have any ideas?

OpenStudy (nottim):

@Passion567 @surd @cj49 @mathmath333 @satellite74 anyone have any idea?

OpenStudy (nottim):

@UnkleRhaukus you there?

OpenStudy (unklerhaukus):

is xbar the average of values or true value and xnominal is some indivual value

OpenStudy (nottim):

I think xbar is the average value. I do have an actual volume, but there are multiple, so I don't think they would work for a singular answer

OpenStudy (mathmath333):

u can post screenshot of question or theory

OpenStudy (nottim):

Er. IT will be loud, and everyone is sleeping.

OpenStudy (nottim):

Pag. 36 and forwards

OpenStudy (nottim):

actually, pg. 3 to 5.

OpenStudy (nottim):

That's the entire thing I'm working on.

OpenStudy (nottim):

For Table 1 there, I'm using the blue pipette.

OpenStudy (unklerhaukus):

ok so what are your volumes

OpenStudy (nottim):

I have 3 different groupings. Volume measured at: 1000 microlitres. 998.7 1001 999.0 1003 1003.7 1002 1001 1003 1003 1003 Volume measured at: 500 microlitres 492.3 504.3 500.8 500.7 498.8 500.0 500.2 502.9 500.8 500.3 5001.3 Volume measured at: 100 microlitres 101.5 102.4 101.7 91.3 101.3 101.5 102.4 102.0 102.9 103.1 They are the actual volumes. not the measured volumes from the experiment.

OpenStudy (nottim):

Here's the excel document I've been using to assist in calculations.

OpenStudy (unklerhaukus):

i think for the first data set in the .xlsx file xnominal is 1000, whereas xbar is 1001.8

OpenStudy (nottim):

Why do you think xnominal is 1000?

OpenStudy (unklerhaukus):

nominal means the thing to were aiming for,

OpenStudy (unklerhaukus):

you were aiming for 1000uL each time, but the average was 1001.8

OpenStudy (nottim):

Ah, that makes sense now! I might ask this later, but are you good in determining sources of errors for chemistry too?I'll probably not get around to asking that though because I'll be doing the calculations.

OpenStudy (unklerhaukus):

d = ((1.8)/1000)*100% = 1.8/10 % =0.18% a very small inaccuracy

OpenStudy (unklerhaukus):

hmm i could try with sources of error, but i haven't studied chem in a while (i'm doing physics) , the sources of error usually depend on laboratory method the practical side of chem rater than the theoretical side.

OpenStudy (unklerhaukus):

Did you measure the temperatures/pressure of the liquid/room

OpenStudy (nottim):

Yes, I have those recorded.

OpenStudy (nottim):

I have an systematic error of 0.99%. Isn't that kinda of large, at least for these standards? I compared it with the given values.

OpenStudy (nottim):

Temperatre: 24 degree celsisu. pressure is 987 mb/hPa

OpenStudy (nottim):

I used that to approximate my value from Table 3 for the actual volume calculation (at 1.0037)

OpenStudy (unklerhaukus):

I'm not sure what standards you are following but 99.01% systematic accuracy sound pretty good to me

OpenStudy (nottim):

no no its inaccuracy. This is for the final data set, at a volume of 100 microlitres measured.

OpenStudy (nottim):

I'm sure i did a lot of significiant figure errors here though.

OpenStudy (unklerhaukus):

accuracy = 1 - inaccuracy

OpenStudy (nottim):

Well, I used the correct formula, according to the manual. I'm sorry, I'm extremely hungry right now, and must make food for myself.

OpenStudy (nottim):

well, my food is cooking now.

OpenStudy (nottim):

My only problem now is significant digits and sources of errors.

OpenStudy (unklerhaukus):

4) Calculate the Standard Deviation (SD or s); click on cell B12 and enter the Label ‘STDEV’, click on cell B13 and in the formula bar enter =STDEV(A8:A10), or use the insert function method. This will calculate the standard deviation for the three sample concentration. Next, ensure that you report correct number of significant figures for Cells A13 and B13, using one or two significant figures for the SD. (The Mean should not have more significant figures then is indicated by standard deviation. For example if the mean value reads 25.6778 and the SD is 0.246, then the result should be reported as 25.68 ± 0.25 or 25.7 ± 0.2. If your result indicates that the number of decimal places needs to be adjusted then select Format ⇒Cells ⇒Number and select the appropriate number of decimal places for the cell, or click on the tool bar icons that show a small arrow beside decimal zeroes to increase or decrease the number of decimal places displayed. *NOTE: When reporting your experimental results you must always report the correct number of significant figures in your mean, SD and 95% CI. Marks will be deducted if incorrect significant figures are reported

OpenStudy (nottim):

Yeah, I've been setting, and then resetting hte significant figures. I've thankfully finished the excel portion, its just hte micropippetor section im still working n.

OpenStudy (nottim):

Oh, thanks for reminding me, I must print the second half of this work.

OpenStudy (nottim):

for errors,i have mechanical errors, as micropippetors do degrade over time. any other ideas?

OpenStudy (nottim):

gotta go. seeyall

OpenStudy (phi):

They tell you (under calibration) Calibration should be carried out at three volumes: nominal, 50% and the smallest volume. For example, for 1000 mL pipette, calibration should be done at 1000, 500 and 100 mL (see Table 1 below for the calibration volumes for each pipette). the "nominal" in \( x_{nominal} \) indicates the measured volume of the full pipette e.g. the value you measure when you start will a full 1000 mL Also, \( \bar{x} \) is the average of the x measurements.

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