For n distinct elements æ1, x2, . ...., xn with positive weights 1, the weighted (lower) median is W1, W2, . . ..., Wn such that > wi = element æk satisfying Li=1 Ewi < i and 1 Wi Xị < xk Xị > xk Argue that the median of x1, x2, ....., xn is the weighted median of x1, x2, . .. .. , xn with weights w; = 1 ! for i = 1,2, . ..., n n
For n distinct elements æ1, x2, . ...., xn with positive weights 1, the weighted (lower) median is W1, W2, . . ..., Wn such that > wi = element æk satisfying Li=1 Ewi < i and 1 Wi Xị < xk Xị > xk Argue that the median of x1, x2, ....., xn is the weighted median of x1, x2, . .. .. , xn with weights w; = 1 ! for i = 1,2, . ..., n n
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:For n distinct elements æ1, x2, ....., xn with positive weights
W1, W2, . . ... , Wn such that E wi = 1, the weighted (lower) median is the
element æk satisfying
in
vi=1
Ewi < 5
1
Συ
2
and
Argue that the median of x1, x2,....., xn is the weighted median of
x1, x2, ..... , xn with weights wi =
for i = 1,2,.....,n
n
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