R Programming Please help me to understand and write the programming as the foll

Question

R Programming

Please help me to understand and write the programming as the following requirement. Thanks!

Write a function that bins data. This is the kind of thing one does when making a histogram. We are given a data vector x, and a vector containing the boundary of the bins. This vector is called bins.

Function prototype is: bin.data <- function(x,bins)

Check that bins is strictly increasing. The bins are open on the left and closed on the right (except for the last bin). For example, if bins = c(2.5,5,7.8,9) you are to determine if an element of x falls into the bin (-Inf,2.5], the bin (2.5,5], the bin (5,7.8], the bin (7.8,9], or the bin (9,Inf). Here x is a numeric data vector, and we want to bin the data. If bins has length m, then we return a vector of length (m+1). We do not allow –Inf or Inf values in bins.

The purpose of the function is to return a count of how many elements of x fall into each bin. Using the bins vector as defined above, If x = c(8.3, -2, 2.3, 7.9, 2.5, 2.51, 8.5, -8.9, 9.2) we return the vector c(4,1,0,3,1). The explanation of the output vector is given below.

There are four values of i such that x[i] <= bins[1]

There is one value of i such that bins[1] < x[i] <= bins[2]

There are zero values of i such that bins[2] < x[i] <= bins[3]

There are three values of i such that bins[3] < x[i] <= bins[4]

There is one value of i such that bins[4] < x[i]

Explanation / Answer

Here is R code for bins data

f= function(x,bins){
l=rep()
l[1]=length(which(x<=bins[1]))
for(i in 2:(length(bins))){
    l[i]=length(which(x<=bins[i]&x>bins[i-1]))
}
l[length(bins)+1]=length(which(x>bins[length(bins)]))
l
}
f(x,bins)

The above function is just checking how many of x lie in bins interval.

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