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Which of the following statements best describes

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RASTA

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23:12 Uhr, 03.08.2022

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Tag, dear supporters and helpers
I am having trouble doing this excersie. can you guide me to a solution?
thanks for any tips

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pivot

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00:51 Uhr, 04.08.2022

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Hello,

It seems that there are different measures of spreads, i.e. Range, interquartile range, and standard deviation (variance). In the case of variannce you should know that an added constant c does not change the variance: var(x+c)=var(x).

Check a smaller example. The data set 1 is 1,2,3. What is the variance here?

Now add 1 to every value. Data Set 2 then is 2,3,4. What is the variance for the set?

greetings,
pivot
RASTA

RASTA aktiv_icon

01:58 Uhr, 04.08.2022

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Pivot what about if i do this way, would it be correct?

write out all data points given
it starts at 30,000,40,000,50000,60000

then i find the mean by the old fashioned way
sum of all data points / number of data points in the set= that gives me 45,000

then the median of this data set is 45,000.

if i add 1000 to every data point, the mean changes to 46,000
and the median is 46,000
so the mean and the median does not change. they remain the same.
Is this correct?
to find the variance or standard deviation I can use the formula for that, where
σ =population standard deviation
N=the size of the population
xi=each value from the population
u=the population mean

do you agree?




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pivot

pivot aktiv_icon

02:15 Uhr, 04.08.2022

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I agree to the first part, although I don't how it is related to the question.

To find the variance of the sets you can use the formula for the standard deviation/variance.
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RASTA

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03:05 Uhr, 04.08.2022

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okay, thank you pivot.
RASTA

RASTA aktiv_icon

15:14 Uhr, 04.08.2022

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Tag,
Wie kann ich in La Tex die Formel für die Standardabweichung eingeben?
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pivot

pivot aktiv_icon

16:28 Uhr, 04.08.2022

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You can copy it more or less from wiki:

de.wikipedia.org/w/index.php?title=Empirische_Varianz&action=edit§ion=2

You copy the formula

\sigma^2= \frac{1}{N} \sum _{i=1}^N(x_i-\mu)^2

Then put the formula in between two dollar signs $$ to obtain


σ2=1Ni=1N(xi-μ)2

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RASTA

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17:33 Uhr, 04.08.2022

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Vielen Dank!
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pivot

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17:35 Uhr, 04.08.2022

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Gerne.