Answer to Question #313851 in Statistics and Probability for Sic

Question

A sample of raw scores of Grade 11 students consists of the five numbers 10, 14, 17, 20 and 12. Consider samples of size 2 that can be drawn from this sample.

How many are the possible outcomes? *

What is the probability of getting 14.5 as a mean? *

What is the probability of getting 11 as a mean? *

What is the probability of getting 22.5 as a mean? *

What is the probability of getting 16 as a mean? *

Answer 1

How many are the possible outcomes?

10 possible outcomes

(10,14), (10,17), (10,20), (10,12), (14,17), (14,20), (14,12), (17,20), (17,12), (20,12)

What is the probability of getting 14.5 as a mean?

=0.1

What is the probability of getting 11 as a mean?

=0.1

What is the probability of getting 22.5 as a mean?

=zero