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

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

a=[3 5 7 3 5 8 9 3 1 41 6];

sum(a)=91

50% of sum signal =45.5

indice which is approximately equal to of sum of 50% of sum signal a is 9

[Star Strider]

See also: how to find index of 50% of sum of signal?

Answer 1

[Star Strider]

A least-squared-difference approach works —

a=[3 5 7 3 5 8 9 3 1 41 6];
suma = cumsum(a);
suma50 = suma(end)/2;
[minv,idxv] = min((suma50-suma).^2)

minv = 2.2500

idxv = 9

.

[benghenia aek]

i appreciate your help thank you very much

[Star Strider]

My pleasure!

If my Answer helped you solve your problem, please Accept it!

.

[Steven Lord]

If you want the first index that's past the halfway point:

a=[3 5 7 3 5 8 9 3 1 41 6];
suma = cumsum(a)

suma = 1×11

3 8 15 18 23 31 40 43 44 85 91

suma50 = suma(end)/2

suma50 = 45.5000

[~, location] = find(suma > suma50, 1, 'first')

location = 10

suma([location-1 location])

ans = 1×2

44 85

Answer 2

[Image Analyst]

Isn't this a duplicate?

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

a = [3 5 7 3 5 8 9 3 1 41 6];
s = sum(a)

s = 91

c = cumsum(a)

c = 1×11

3 8 15 18 23 31 40 43 44 85 91

[minDiff, index] = min(abs(c - s/2))

minDiff = 1.5000

index = 9

(If it is your homework, tag it as homework and find a different way. Don't turn in any of our solutions as your own or you may get caught for cheating.)