Basic Statistics & Probability Examples


Designing a Study

There's a high probability (see what we did there?) that at some point in your probability/statistics unit, your teacher will ask you to do a data-gathering statistics project. Don't worry, we can...

Mean, Median, Mode & Range

The most commonly used statistic is the average, a.k.a. finding where the middle of the data lies. There are three ways to measure the average: the mean, median, and mode. Why three ways? G...

Stem & Leaf Plots

Stem and Leaf Plots can be used to analyze data and display data all at the same time. This is a way of showing each data value along with its relationship to the other values.If you turn a...

Histograms

Histograms are another convenient way to display data. A histogram looks similar to a bar graph, but instead of plotting each individual data value on the x-axis (the horizontal one), a range o...

Box & Whisker Plots

Box-and-whisker plots are a handy way to display data broken into four quartiles, each with an equal number of data values. The box-and-whisker plot doesn't show frequency, and it doesn't displa...

Scatter Plots & Correlation

Scatter plots are an awesome way to display two-variable data (that is, data with only two variables) and make predictions based on the data. These types of plots show individual data values, a...

Evaluating Data & Making Conjectures

Ok, so by now we've worked our data hardcore in the exercises on the previous pages. We totaled raw numbers, calculated averages, and made pretty plots and histograms to show off the data. Now,...

Basic Probability

Dice and ProbabilityIf we roll a single, standard die, what is the probability of rolling a 4?If we roll a single, standard die (no, not die as in keel over, but die as in only one of two dice), th...

Geometric Probability

If we’re taking a nap on a blanket at the park, and a bird poops in the park, what are the chances of the blanket getting hit by the poop? Believe it or not, we can figure that out using probabi...

And vs. Or Probability

In probability, there's a very important distinction between the words and and or. And means that the outcome has to satisfy both conditions at the same time. Or means that the outcome has to s...

Complementary & Mutually Exclusive Events

Complementary events are two outcomes of an event that are the only two possible outcomes.This is like flipping a coin and getting heads or tails. Of course, there are no other options, so these...

Predicting vs. Observing Probability

There are two ways to calculate probability: using math to predictby actually observing the event and keeping score.Theoretical probability uses math to predict the outcomes. Just divide t...

Compound Events

In the world of probability, compound events are when two or more things are happening at once. We usually want to know the probability of all those things actually occurring, not each one of th...

Basic Counting Principle

Let’s say we’re making an intro for our YouTube movies. Using an online template we have 3 song choices that sync with the template, 4 different colors we can use for our text, and 2 background...

Factorials

Factorials help count things like arrangements of items or order of events. Let's say that you have six books to organize on your bookshelf...We're not just looking for all possible outcomes t...