## R Programming Homework Solution on Vectors

• 19th Jan, 2022
• 23:50 PM
```summary_statistics_B <- function(list_of_vectors, na.rm){
n = length(list_of_vectors)

len = c()
median_vec = c()
mean_vec = c()
correlation_mat = matrix(1, nrow = length(list_of_vectors), ncol = length(list_of_vectors))

for (i in 1:n) {

len[i] = length(list_of_vectors[[i]])
if(na.rm == T){
list_of_vectors[[i]] = list_of_vectors[[i]][!is.na(list_of_vectors[[i]])]
}

mean_vec[i] = sum(list_of_vectors[[i]])/len[i]
list_of_vectors[[i]] = sort(list_of_vectors[[i]])
median_vec[i] = ifelse(len[i]%%2 == 0, (list_of_vectors[[i]][len/2+1]+list_of_vectors[[i]][len/2])/2, list_of_vectors[[i]][(len+1)/2])
}

corr <- function(vec1, vec2){
((sum(vec1*vec2) - sum(vec1)*sum(vec2)/length(vec1))/(length(vec1)-1))/(sqrt(((sum(vec1^2) - sum(vec1)^2/length(vec1))/(length(vec1)-1))*((sum(vec2^2) - sum(vec2)^2/length(vec2))/(length(vec2)-1))))
}

for (i in 1:length(list_of_vectors)) {
for (j in 1:length(list_of_vectors)) {
correlation_mat[i, j] = corr(list_of_vectors[[i]], list_of_vectors[[j]])

}
}

return(list(length_of_vectors = len, median_of_vectors = median_vec, mean_of_vectors = mean_vec, correlation_matrix = correlation_mat))

}

# HEre in part B we need to give the list of vectors as input
# Suppose if we have a matrix or a dataframe then we will call the function as

summary_statistics_B(as.list(mtcars), na.rm = T)
```