Expected value vs. sample mean
The exercise app will allow you to take a sample from a discrete uniform distribution, which includes the numbers 1 through 9, and calculate the sample's mean. You can adjust the size of the sample using the slider. Note that the expected value of this distribution is 5.
A sample is taken, and you win twenty dollars if the sample's mean is less than 4. There's a catch: you get to pick the sample's size.
Which sample size is most likely to win you the twenty dollars?
This exercise is part of the course
Introduction to Statistics in R
Hands-on interactive exercise
Turn theory into action with one of our interactive exercises
