Basics of Probability and Statistics Week 1 Challenge
1.Why there is a difference in the formula of variance for population and sample?
*N is a greater value than N-1.
*When divided N-1 a smaller number we will get a larger number for variance. This number near to the possible variance value for the population.
*It is always good to have a large variance for the population. This helps in further analysising data with out any bias
2. Difference between stratified and clustered sampling
Stratified sampling:
* This is a sampling method where population are divided into homogenous segment and then the sample is randomly taken from the segment.
* Randomly selected individuals are taken from all the strata.
* Imposed by researchers. This type sampling increases precision and representation.
Clustered sampling:
* This is a sampling method where the entire cluster us selected randomly. Clusters are naturally occuring group.
* All the individuals are taken from randomly selected cluster.
* Naturally occuring groups. To reduce cost and effeciency.
3.How many different samples can be created out of population of size n?
Npn = N!/(N-n)!
n = sample size
4.What is the probability of drawing 2 jacks from a pack of card?
No of cards in a deck = 52
No of jack in a deck = 4
Probalility of drawing 2 jacks from a pack of card = 1/26.
5.What is the probability that both the numbers on dice are same while rolling 2 dice?
Probability of getting 2 same number = 1/6.
6.Why standard deviation when variance can measure the dispersion in data?
Variance calulated will produce a value with unit of measurement is not similar to data. Standard deviation calculated after squaring the variance will produce unit of measurement as the data.