uri
  • uri
Stats help: Q.The mean of 12 observations is 3704.One more observation is added and the mean becomes 37.5.Find the value of new observation.
Mathematics
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SOLVED
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chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
You can do it!
anonymous
  • anonymous
Find the total of the operations when there were 12. Then find the total when there were 13.
anonymous
  • anonymous
What is the difference?

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More answers

anonymous
  • anonymous
Since \[ Average = \frac{Total}{Observatioins} \]Then \[ Total = Average \times Observations \]
anonymous
  • anonymous
find the sum \[\sum x_i= \bar{x}n\]
anonymous
  • anonymous
\[MEAN x=\frac{ \sum_{}^{}x }{ n }\] total of 12 observations=37.06*12 total of 13 observations=37.5*13 13th observation=? (subtract and find)
anonymous
  • anonymous
lets call the new observation x \[\bar{x}_2=\frac{\bar{x}_1+x}{n+1}\\\bar{x_1}=37.06,\bar{x}_2=37.5,n+1=13\]
uri
  • uri
I solved the whole question with LatEx and it crashed....
anonymous
  • anonymous
i mean\[\bar{x}_2=\frac{\bar{x}_1n+x}{n+1}\] \[x=n(\bar{x}_2-\bar{x}_1 )+\bar{x}_2\]
uri
  • uri
I know..I was doing it myself but the page crashed..
uri
  • uri
I so pissed off right now..
anonymous
  • anonymous
so you cant see anything in LaTex here
uri
  • uri
I know how to do this..i was typing it if i was write.I was at the end of it and it crashed....
anonymous
  • anonymous
ohhhhh bad...okay ...it does that sometimes ,i guess it has to be reported to the OS feedback
uri
  • uri
Let me do again..oh well.
uri
  • uri
Formula is \[\bar{x} =\frac{ \Sigma x }{ n } \] where n=15 and \[\bar{x} =3704\]
uri
  • uri
So,plugging in the formula \[3704=\frac{ \Sigma x }{ 12 }\]
uri
  • uri
I mistyped above n=12.
uri
  • uri
Then, \[\Sigma x =4448\] let the value of one observation added be *y* Using the same formula again \[37.5=\frac{ 4448+y }{ 13 }\]
uri
  • uri
\[487.5=4448+y\] \[y=4448-487.5\] y=3960.
uri
  • uri
3960.5*
uri
  • uri
@wio Help me c:
anonymous
  • anonymous
What did you get for your totals?
uri
  • uri
What do you mean?
anonymous
  • anonymous
is it 37.04 or3704
uri
  • uri
3704.
anonymous
  • anonymous
\[ 12\times 3706 = ?\\ 13\times 37.5 = ? \]
uri
  • uri
@wio it's 3704* and 12 x 3704=4448 and 13 x 37.5 =487.5
anonymous
  • anonymous
didnt you mean 37.06 or 3706
anonymous
  • anonymous
as you have calculated it should b e y=487.5-4448 which is negative
uri
  • uri
Omg sorry i typed wrong,Let me edit the question..Sorry :3
uri
  • uri
@surjithayer we subract the small number with the greater one...No?
nincompoop
  • nincompoop
kick your computer
uri
  • uri
@nincompoop not my computer's fault something is wrong with OS.Happend to many users.
anonymous
  • anonymous
i think total for 13 observation should be greater than total for 12 observations
nincompoop
  • nincompoop
start doing paid subscription :)
uri
  • uri
I don't think so @surjithayer because the other question i did at my class with my teacher the total for 16 observation was quiet less than the observation for 15..
nincompoop
  • nincompoop
uri, this is the same kind of help you received earlier.
uri
  • uri
your point?
nincompoop
  • nincompoop
you should be able to do this one if you understood the other one :P
uri
  • uri
So,didn't i just do it? I'm asking if i'm right..problem?
nincompoop
  • nincompoop
you had 6 earlier, now you have 12 then 1 is added on both that gave a new mean
anonymous
  • anonymous
o.k if total for 13 observationis less then 13th observation should be negative
nincompoop
  • nincompoop
(444.48+x)/13=37.5 here's how it is broken down without the fancy statistical jargon 37.04 x 12 = 444.48 multiply it back so you get the summation prior to the unknown. since there were 12 observations, you multiply your initial mean by 12. now we need to find out the unknown (that is +1 observation) in order to get the mean of 37.5. so that is 444. 48 + x then divide it by the final number of observations, 13 (444.48 + x)/13 = 37.5
uri
  • uri
Nin it is 3704 not 37.04..
nincompoop
  • nincompoop
I think that's a typo LOL but if it is really 3,704 then the same kind of process is required for you to find the unknown observation
uri
  • uri
Let me ask a friend
nincompoop
  • nincompoop
okay. it is weird that the new mean is wayyyyyyyyyyyy too low than the initial one. from thousands to tens
uri
  • uri
LOL NIN IT'S 37.4 NOT 3704.My sir doesn't know how to make a decimal point.He wasted my 1 hour..
nincompoop
  • nincompoop
lol told you so… my training in chemistry paid off
uri
  • uri
Omg now i know how to do it..xD
anonymous
  • anonymous
then it is 37.5*13-37.4*12
uri
  • uri
Let me solve and show. :P
nincompoop
  • nincompoop
yeah so I put 37.04, you just have to make the correction to 37.4
uri
  • uri
1 Attachment
uri
  • uri
1 Attachment
nincompoop
  • nincompoop
you're on the right track
uri
  • uri
Thanks :D
nincompoop
  • nincompoop
always ask your professor what he has written down so you're not wasting a lot of time calculating the wrong information.
nincompoop
  • nincompoop
everyone makes mistakes
uri
  • uri
I do that.I joined late and my class fellows have done this already i just took these photocopied questions from a classmate and did few at class..so didn't know that my teacher makes such a weird typo like WEIRD..0 except a decimal point.
uri
  • uri
@nincompoop look xD
nincompoop
  • nincompoop
lol now you know that small circle is period
uri
  • uri
Lol yess
anonymous
  • anonymous
there is small circle on is also .you can corelate
anonymous
  • anonymous
any way you know the procedure to solve such problems.
uri
  • uri
:)

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