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hba
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saifoo.khan
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\[mean = \frac{\sum fx}{\sum x}\]

wio
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ah, so it's just a weighted average.

kropot72
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Solve the following for x:
\[\frac{12(x5)+40x+8(x+5)}{60}=10\]

hba
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Whatt is the general formula @kropot72

ParthKohli
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\[\dfrac{\underbrace{x  5 + x  5 \cdots+ x5}_{\rm 12 ~times} + \underbrace{x + x\cdots x + x}_{\rm 40 ~ times} + \underbrace{x + 5 +\cdots+ x+5}_{\rm 8 ~times}}{12 + 40 + 8}\]

hba
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Thanks a lot but there would be some general form of this :/

hba
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@Mimi_x3

saifoo.khan
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I wrote the general formula already.

hba
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Shouldnt it be,
\[\sum_{}^{}fx/\sum_{}^{}f\]

hba
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Next.

saifoo.khan
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\[Arithmetic => \frac{x+y}{2} = 10.2\]

hba
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What about geometric?

saifoo.khan
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Geo mean formula: √(xy)

hba
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Sqrt(x*y)

hba
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Okay got it

saifoo.khan
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\[√(xy) = 8.4\]

hba
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Do i have to solve quad equations?

saifoo.khan
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take square on both sides:
xy = sqrt8.4
x = sqrt(8.4)/y

hba
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I know that

saifoo.khan
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Now substitute this in the first equation

hba
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But it would be x=70.56/y

saifoo.khan
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o_O

hba
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Whut?

hba
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sqrt(xy)=8.4
xy=70.56
x=70.56/y

saifoo.khan
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Oh right.

saifoo.khan
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Actually i'm doing two things at once. XD

hba
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No worries c:,This thing is going into a quad equation :(

saifoo.khan
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Go for it

hba
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x=77.16,56.76 and y=77.16,56.76

hba
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I feel like i have made a mistake :/

saifoo.khan
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Let me check.

hba
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Should i do it again?

saifoo.khan
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x = 4.41, y = 15.99
x = 15.99, y = 4.41

hba
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Lemme do it again,Stop playing with wolf :/

mathslover
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may i help?

hba
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No thanks

mathslover
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ok do post your answer here

mathslover
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if you're completed with your soln

hba
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I will

hba
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Okay
x=15.98,4.414 and y=4.414,15.98

saifoo.khan
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great.

hba
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Now next question,
I am getting b=2,b=8 and a=8,a=2

hba
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So harmonic mean is 16/5=3.2

hba
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Right @saifoo.khan ?

saifoo.khan
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Never heard of harmonic mean. :s

hba
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Okay lets call someone else for that case,What about the observation do you think they are right?
Btw,A.M is opposite of H.M.

mathslover
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I cn help in HM

hba
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And,
H.M=N/(1/a1+1/a2+......1/an)

hba
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@mathslover Do you think my answers are correct?

mathslover
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lemme check tht .. wait

hba
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Okay

mathslover
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yep u r right

mathslover
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great work

hba
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Thanks but now i want to ask,
As i have two diff observations a=8,b=2 and a=2,b=8 and the HM is same so should i show this two times?

mathslover
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yes you have to mention that it will be same in both cases

hba
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Okay now next question.

hba
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Wait a sec

hba
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saifoo.khan
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Namaz parhlo.

hba
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Chalo okay namaz kai baad krtai hai.

hba
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Han continue karlain @saifoo.khan

hba
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@AravindG Can you help?

AravindG
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sorry I am a really busy ...

hba
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I am really busy*

hba
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@saifoo.khan I am waiting :/

hba
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@hartnn Help pleaseeeeeeeeeeeeee

hba
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@hartnn
See the last attachment

hartnn
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same weighted average formula.

hartnn
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(700*8.5+800*7.5+500*8)/2000

hartnn
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\(\sum_{}^{}fx/\sum_{}^{}f\)

hba
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I was thinking about using this but i am not getting why is sum of f=2000

hartnn
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sum of f = 700+800+500

hba
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Okay thanks :)

hba
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I am getting mean=7.85,Am i right? @mathslover

hba
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@hartnn


hba
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Close enough lol :P
I am using a casio scientific calculator,I dont know why it rounded the answers :/

hba
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Oh yeah i checked it again,Its 7.95 thanks.
I have another question may i ask? @hartnn

hartnn
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yes

hba
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Okay here we go :D

hartnn
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you tried ?

hba
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Wait wait dont answer i am trying

hba
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\[\sum_{i=1}^{n}a_i=16.2\]
Okay @hartnn Please explain