Basics of Probability and Statistics Week 1 Challenge

1) The key difference is in the denominator. In the sample variance formula, you divide by n−1 (the degrees of freedom), instead of N. This adjustment is made to correct the bias in the estimation of the population variance based on a sample. Using n−1 instead of n provides an unbiased estimate of the population variance.

2)Stratified sampling : The population is divided into distinct subgroups or strata based on certain characteristics.

Clustered Sampling: The population is divided into clusters, and the entire cluster is selected for the sample.

3)n^k where k-size of sample

4){C(4,2)}/{C(52,2)}= 6/1326 = 0.0045

5)6/36 = 1/6

6)Standard deviation can provide measure of dispersion in the same units as data points .