how to find index of 50% of sum of signal?

how to find index of 50% of sum of signal

a=[4 2 3 1 5 6 11];

sum(a)=32

50% of sum signal =16

indice which is approximately equal to of sum of 50% of sum signal a is 5

[Star Strider]

See also: ho to find index at which the 50% of the sum vector is included?

Answer 1

[Walter Roberson]

Hint:

4, 2, 3, 1, 5, 6, 11
4, 4+2, 4+2+3, 4+2+3+1, 4+2+3+1+5, 4+2+3+1+5+6, 4+2+3+1+5+6+11 -->
4, 6, 9, 10, 15, 21, 32

4<=32/2, 6<=32/2, 9<=32/2, 10<=32/2, 15<=32/2, 21<=32/2, 32<=32/2 -->
true, true, true, true, true, false, false
1      2     3     4    5

Answer 2

[Image Analyst]

Isn't this a duplicate?

If it's not your homework, you can use my solution:

a=[4 2 3 1 5 6 11];
s = sum(a)
c = cumsum(a)
[minDiff, index] = min(abs(c - s/2))

If it is your homework, tag it as homework and find a different way.