Math

Sampling

• The Method of gathering information about a population by taking a representative of the population called SAMPLE

• Simple Random Sampling

• Systematic Random Sampling

• Stratified Sampling

• Cluster Sampling

Sampling Method

Simple Random Sampling

• It involves selecting a sampling size n from a population of a size N so that all elements of the population have equal chances of being part of the sample

Systematic Random Sampling

• Involves using a random start to determine the first element of the sample and the selection of the rest of the sample is done systematically

Stratified Sampling

• It involves dividing the population into groups called STRATA According to some chosen classification categories such as age, gender, and geographic location.

Cluster Sampling

• The elements of the population are divided into groups called?

  CLUSTER

Cluster

• Are naturally occurring like barangays, citied, or municipalities

• Samples are obtained from each cluster by SRS

Slovin’s Formula

• Used to calculate the sample size n given the population size N and a margin of error e.

• Is used when nothing about the behavior of a population is known at all.

Normal Distribution

• It is Defined as a continuous frequency distribution of infinite range

• Is a descriptive model that describes real world situations

Curve

• Is asymptotic to the X-axis

Sample Space

• The set of all possible outcomes of any experiments

Variables

• Is a characteristic or attribute that can assume different values.

• Used capital letter to denote or represent variables.

Random Variable

• Is a function that associates a real number each element in the sample race space

• It is a variable whore value are determined by chance

Discrete Random Variable

• It is a set of possible outcomes that is countable

Continuous Random Variable

• It is a set of possible outcomes scale

Constructing Probability Distributions

• Consist of values a random variable can assume and the corresponding probabilities of the values