Skip all the programming exercises in R - just watch the videos and solve the multiple choice problems. Supplement with the decent opensource text book it links to.
Each "week" is likely only 1-2hrs of work. ~5 weeks per course. Only really need the first 2 courses:
. Introduction to Probability and Data . Inferential Statistics
I've taken the first 3 classes in this specialization and would say it's been invaluable. There's an associated textbook available online for free at:
I've taken the first 6 classes in this specialization as well, and have found them to be pretty valuable. These, so far, have been more about the mechanics of programming in R, and less about the math. The Duke one above is more math, less R. But both are an intermingling of both mathematical concepts and R coding. I find that these two tracks complement each other very well.
A set of videos on Statistics from "Professor Leonard". This is just recordings of all the lectures from a standard college Stats 101 class. But the guy is a good lecturer, explains things well, and has a sense of humor which keeps things interesting.
He also has videos on other topics as well, if you're interested.
I believe Kahn Academy also has a section on Statistics and Probability.
You might also find some of the stuff linked here useful: