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Mathematics 16 Online
OpenStudy (howard-wolowitz):

check part C I got 0.8 the first time and the second time i got 1.3

OpenStudy (howard-wolowitz):

Ps.- sorry i cut off part C a little bit, but it says 1.3

hartnn (hartnn):

is your mean correct?

OpenStudy (howard-wolowitz):

yes it should be

hartnn (hartnn):

mean = (sum)/total numbers = (0+1+2+3+4)/5 isn't it ?

OpenStudy (howard-wolowitz):

yes

OpenStudy (howard-wolowitz):

mean = Just add up all the numbers, then divide by how many numbers there are

hartnn (hartnn):

so isn't mean = 2 ?

OpenStudy (howard-wolowitz):

i got this- 4*0.2 + 3*0.25 + 2*0.3 + 1*0.1 + 0*0.15

OpenStudy (howard-wolowitz):

= 2.25

hartnn (hartnn):

also thats not the way you calculate std deviation or mean thats just \(\sum x_i\times i\)

OpenStudy (howard-wolowitz):

ok then im worng and your right

hartnn (hartnn):

you have the formula of std deviation with u ?

OpenStudy (phi):

Howard did it correctly when finding the mean when the values have different probabilities , you do what he did. and get 2.25 (the "simple formula" assumes equal probabilities = 1/n )

OpenStudy (howard-wolowitz):

so B is 2.25 ?

hartnn (hartnn):

mean "grade" was asked...thats why I thought

hartnn (hartnn):

anyways, then yes, 2.25 is correct...sorry

OpenStudy (howard-wolowitz):

i think it means grade level i hope but 0 isnt a grade lvl

hartnn (hartnn):

ok, now std deviation N=5, (x_i)s are your P(X) values \(\mu \) is the mean = 2.25

OpenStudy (howard-wolowitz):

Var[X] = sum((X - E[X])^2*P[X]) = sum(X^2*P[X]) - E[X]^2 = = 16*0.2 + 9*0.25 + 4*0 .3 + 1*0.1 + 0*0.15 - 2.25^2 = = 6.75 - 5.0625 = 1.6875 StDev[X] = sqrt(Var[X]) = 1.3. i could of messed up i did this a few times on paper and on mathway

hartnn (hartnn):

you forgot to divide by N ?

hartnn (hartnn):

Also, you didn't distribute the sum.. \(\sum \mu^2 = n\mu^2 \)

hartnn (hartnn):

i'd say, use the formula you attached....and not what u have done

OpenStudy (phi):

yes, I get 1.299 for sigma

OpenStudy (phi):

sqrt( sum ( (x - mu)^2 * P(x) ))

hartnn (hartnn):

i need to refresh on this topic :P

OpenStudy (phi):

that simplifies for equal probability to sqrt( sum ( (x-mu)^2 * 1/n) ) or \[ \sqrt{ \frac{1}{n} \sum (x_i-\mu)^2 }\]

OpenStudy (howard-wolowitz):

ok so i am also right on C? thakn you guys for helping me

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