Say we have an array x whose elements represent the boundaries of different bins. Bin 1 is the set of numbers between the first and second entries of the x array, Bin 2 is the set of numbers between the second and third entries, and so on. We'd like to write code that takes a scalar input and returns an index indicating which bin belongs to.

As an example, suppose we have

binArray = [1, 2.2, 4.1, 5, 7.5, 9]

If we input , we want the code to return a 2 because 3.8 is in the 2nd bin (it's between and ). Similarly, if we input , our code should return a 5, since 8.4 is in the bin. If lies on one of the bin boundaries, we'll assign it to the bin on the right. If lies on the last data point, we'll assign it to the bin on the left. (So is in bin 2, and is in bin 5.)

Create a function file to do this. For the bins, we will use an array of randomly generated numbers as indicated in the code outline.

The function starts like this:

function bin = binFind(x0)

rng(2019)

binArray = 20*rand(1,100);

binArray = sort(binArray,'ascend');

can test with this:

%As a test, binFind(15) = 72

binFind(15)

%binFind(pi) = 8

binFind(pi)