I have a simple list `mylist={x_1,x_2,...,x_N};`.

Now I want to map a function over this list, e.g. the Mean and StandardDeviation functions, so that it will give me a list that looks like this:

```
f/@mylist = {f[{x_1}], f[{x_1, x_2}], f[{x_1, x_2, x_3}], ... , f[{x_1,x_2,...,x_N}]}

```

How can I achieve that? I know that I can use a simple loop to do so but I am wondering if Mathematica has a specific function for this kind of mapping.

Thanks a bunch!