Descriptive Statistics of entire array

I am working on a project where I need to create a script that at one point returns the mean, median, mode, variance, standard deviation, minimum, maximum, and count of a user inputted array. The inputted array will either be a single column of an undetermined amount of numbers, or two columns of an undetermined amount of numbers.

To use the mean function as an example, if I have a matrix

x = [1,4;5,8;3,1;7,2;4,2];
then the mean function returns a mean of each column:

mean(x) = [4,3.4];

I need a mean of ALL the elements of the matrix. So a quick fix of this would be the mean2 function:

mean2(x) = 3.7;

This is great and returns exactly what I need, except I also need to find the median, mode, variance, etc. As far as I can tell, I can't just add the number 2 to the end of the functions that produce these statistical quantities to get the same result. So I need a way to either convert the user inputted matrix into a single column matrix (without losing the original matrix) and using the statistical analysis functions that way, or just a simple way to find these analyses of every single element of the array, not just the columns at single times.

Answer 1

[John D'Errico]

So, you can't just compute

mean(x(:))

mode(x(:))

etc?

[Image Analyst]

and for the count (number of elements):

count = numel(x);

[John D'Errico]

Or

prod(sixe(x))

will also work. But numel is better.

Answer 2

[Andrii Mishchenko]

Hello Dear, Matthew. You can use linear indexation in order to solve your problem. Let's consider your example with a matrix

x = [1,4;5,8;3,1;7,2;4,2];

If you will create a new matrix X = x(1:end) than you will obtain a row vector X containing all elements of your original matrix x. So you can perform a basic descriptive operations on this vector and calculations will be done considering all the values of the matrix x at the same time.

Cheers!