Answer to Question #206590 in Statistics and Probability for Cielo

Question

Construct all random samples consisting three observations from the given data. Arrange the observations in ascending order without replacement and repetition.

86 89 92 95 98

Answer 1

N=5

n=3

$Number\; of \; samples = \frac{5!}{3!(5-3)!} = \frac{20}{2}=10$

Samples:

86 89 92

86 89 95

86 89 98

86 92 95

86 92 98

86 95 98

89 92 95

89 92 98

89 95 98

92 95 98