Did you know that motion is relative? It’s true! For instance… By stating that a vehicle is moving at 60 miles per hour, we are really referring to the rate of motion in relation to the surface the vehicle is traveling on. Thus, the speed of an airplane is its motion in relation to the…
Binary Relation
Did you know that the relationship between sets can be explained using relations? In Algebra, we learned that a relation is a set of ordered pairs. The first elements (x-coordinates) represented the input or domain and the second elements (y-coordinates) represented the output or range. In other words, x is associated with or “related” to…
Population Proportion
What is a population proportion? Great question! It’s a key topic in statistical sampling, and it’s what you’re going to learn today. Let’s go! One Sample Proportion Test Significance testing for population proportions means we will test a claim about a population by looking at a sample and using a sample statistic. What this means…
Population Proportion
How to find a population proportion is an essential skill in statistics. In today’s lesson, you’ll learn how to do precisely that. You’ll see how to calculate confidence intervals for population proportion with simple to follow steps. With seven worked examples. You’ll have everything you need. Before we get too far, let’s jump in with…
Normal Approximation
What is normal approximation? And how does it relate to statistics? Let’s find out, shall we… If certain conditions are met, then a continuous distribution can be used to approximate a discrete distribution? The Normal Distribution (continuous) is an excellent approximation for such discrete distributions as the Binomial and Poisson Distributions, and even the Hypergeometric…
Probability Formula
Did you know that the basis of the probability formula stems from the idea of fractions where we find the part over the whole? It’s true… …and we’re going to learn a whole lot more in today’s lesson. Let’s go! What is probability? Probability is defined as the likelihood or chance that a specific event…
Sample Space
What is a sample space? It’s a fundamental aspect of statistics and that’s what we’re going to discuss in today’s lesson. So jump on in! Law Of Large Numbers Did you know that chance behavior is unpredictable in the short run but has a regular, predictable pattern in the long term? For example, if you…
Experimental Design
A proper experimental design is a critical skill in statistics. Without proper controls and safeguards, unintended consequences can ruin our study and lead to wrong conclusions. So let’s dive in to see what’s this is all about! What’s the difference between an observational study and an experimental study? An observational study is one in which…
Sampling Methods
What are the different types of sampling methods? And how are they used in statistics? All great questions, that we’ll cover in today’s lesson. So let’s go! How we collect data is an essential aspect of the statistical process for us to draw accurate conclusions about a population. There are four major types of data…
Cumulative Frequency
How do you find cumulative frequency? And how do you describe the shape, spread, and center of a distribution? That’s what we’re going to find out today! Let’s go! What’s the difference between the following graphs? Cumulative Frequency Cumulative Relative Frequency A cumulative frequency graph shows the total number of values that fall below the…