how to calculate the average of two values data that side by side and place it between those two values

i want to calculate the average of two values data that side by side and placed it between those two values after that, the last values data will be divided by 2 and placed at the end of the array

for example, if i have

A=[4 2 8 10 6]

then the average of those data that side by side is [3 5 9 8]

after that, the last values of A (=6) will be divided by 2 and equal 3

then i want it to become

B=[4

3

2

5

8

9

10

8

6

3]

Answer 1

[darova]

Use interp1

A=[4 2 8 10 6];
x = 1:length(A);                                % 1 2 3 4 5
xx = linspace(x(1),x(end),length(A)*2-1);       % 1 1.5 2 2.5 3 3.5 4 4.5 5
A1 = interp1(x,A,xx);

plot(x,A,'.-r')
hold on
plot(xx,A1,'ob')
hold off

A1(end+1) = A1(end)/2;                          % just divide last element

[Madania Nia]

Thank you