Mixing
How to calculate this mean
$begingroup$
In this question: Is there any meaning of this "Median-mean"
I asked about a concept I made up (presuming that it has already been studied) but have not yet received any information about it (so maybe it hasn't?)
How can I find the power mean $x$ such that the power mean of a data set is the median?
Given the ascending data set $S={a_1, cdots , a_{n}}$
Find $x$ such that $$left(frac{1}{n}sum_{i} {a_i}^x right)^{1/x} =text{Median}(S)$$
Thanks in advance for any help / advice, Ben
algebra-precalculus statistics
asked Jan 19 at 16:28
Ben CrossleyBen Crossley
904418
$endgroup$
add a comment |
$begingroup$
In this question: Is there any meaning of this "Median-mean"
I asked about a concept I made up (presuming that it has already been studied) but have not yet received any information about it (so maybe it hasn't?)
How can I find the power mean $x$ such that the power mean of a data set is the median?
Given the ascending data set $S={a_1, cdots , a_{n}}$
Find $x$ such that $$left(frac{1}{n}sum_{i} {a_i}^x right)^{1/x} =text{Median}(S)$$
Thanks in advance for any help / advice, Ben
algebra-precalculus statistics
asked Jan 19 at 16:28
Ben CrossleyBen Crossley
904418
$endgroup$
1
$begingroup$
Will only be able to find $x$ numerically. Deviations of $x$ from 1 presumably reflect the skewness of the distribution.
$endgroup$
– user121049
Jan 19 at 19:24
add a comment |
$begingroup$
In this question: Is there any meaning of this "Median-mean"
I asked about a concept I made up (presuming that it has already been studied) but have not yet received any information about it (so maybe it hasn't?)
How can I find the power mean $x$ such that the power mean of a data set is the median?
Given the ascending data set $S={a_1, cdots , a_{n}}$
Find $x$ such that $$left(frac{1}{n}sum_{i} {a_i}^x right)^{1/x} =text{Median}(S)$$
Thanks in advance for any help / advice, Ben
algebra-precalculus statistics
asked Jan 19 at 16:28
Ben CrossleyBen Crossley
904418
$endgroup$
In this question: Is there any meaning of this "Median-mean"
I asked about a concept I made up (presuming that it has already been studied) but have not yet received any information about it (so maybe it hasn't?)
How can I find the power mean $x$ such that the power mean of a data set is the median?
Given the ascending data set $S={a_1, cdots , a_{n}}$
Find $x$ such that $$left(frac{1}{n}sum_{i} {a_i}^x right)^{1/x} =text{Median}(S)$$
Thanks in advance for any help / advice, Ben
algebra-precalculus statistics
algebra-precalculus statistics
asked Jan 19 at 16:28
Ben CrossleyBen Crossley
904418
asked Jan 19 at 16:28
Ben CrossleyBen Crossley
904418
asked Jan 19 at 16:28
Ben CrossleyBen Crossley
904418
asked Jan 19 at 16:28
Ben CrossleyBen Crossley
904418
asked Jan 19 at 16:28
Ben CrossleyBen Crossley
904418
904418
1
$begingroup$
Will only be able to find $x$ numerically. Deviations of $x$ from 1 presumably reflect the skewness of the distribution.
$endgroup$
– user121049
Jan 19 at 19:24
add a comment |
1
$begingroup$
Will only be able to find $x$ numerically. Deviations of $x$ from 1 presumably reflect the skewness of the distribution.
$endgroup$
– user121049
Jan 19 at 19:24
1
1
$begingroup$
Will only be able to find $x$ numerically. Deviations of $x$ from 1 presumably reflect the skewness of the distribution.
$endgroup$
– user121049
Jan 19 at 19:24
$begingroup$
Will only be able to find $x$ numerically. Deviations of $x$ from 1 presumably reflect the skewness of the distribution.
$endgroup$
– user121049
Jan 19 at 19:24
add a comment |
0
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$begingroup$
Will only be able to find $x$ numerically. Deviations of $x$ from 1 presumably reflect the skewness of the distribution.
$endgroup$
– user121049
Jan 19 at 19:24