YCCC: The Student Success Commons at York County Community College: Statistics (MAT 124)

Course Resources

Statistics Formulas Used by Chapter
Glossary of Symbols
Many statistical calculations call for these symbols, so to avoid feeling overwhelmed when faced with a formula, print out and keep this glossary handy!
Tables: Standard Normal Distribution (z), and t-Distribution

Statistics Tutorials from VRC Academy
You can find several tutorials and calculators that can aid you as you work through your statistics course here.

Chapter/Section Resources

Chapter 3.1: Basics of Probability
Common Sample Spaces
Permutations, Combinations, Factorials
This document explains the differences between permutations, combinations, and factorials. It includes a handy flowchart to help you determine which one to use when, as well as several examples.

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Summary of discrete probability distributions

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Chapter 6: Confidence Intervals

Example problem
This example problem shows how to find the correlation coefficient and linear regression equation, use the equation to make a prediction, and perform a hypothesis test on the correlation coefficient.

Online Statistical Calculators

NOTE: Please check with your instructor before using any of these calculators. These calculators should generally only be used to check your own calculations.

Many teachers want you to "show all your work" so it is important you know how to use the formulas.

Math isn't always about getting an answer, it's often about the process.

Line graph, pie chart, bar graph, and scatter plot maker
RapidTables provides free graph makers that allow you to experiment with the different visual representations of data discussed in Chapter 2.
Stem and Leaf Plot Generator
Mean, Median, Mode, and Quartiles
Use this calculator to determine the mean, median, mode, range, minimum, maximum, sum, quartiles, IQR, and outliers specific to any given data set.
Weighted Mean Calculator
Variance and Standard Deviation
Be sure to choose either "Sample" or "Population" depending on the problem to ensure the calculations are correct.
Variance of Grouped Data
Coefficient of Variation
In this online calculator you can enter your data set, choose whether the data is from the population or a sample, and calculate the coefficient of variation (CV). Note: this calculator produces several statistical values. The CV is toward the bottom of the computed results.
Boxplot generator
Mean of grouped data

Probability distributions calculator
Enter a probability distribution table and this calculator will find the mean, standard deviation and variance. The calculator will generate a step by step explanation along with the graphic representation of the data sets and regression line.
Expected Value
This expected value calculator helps you to quickly and easily calculate the expected value (or mean) of a discrete random variable X. Enter all known values of X and P(X) into the form below and click the "Calculate" button to calculate the expected value.
Poisson Distribution Calculator
This Poisson distribution calculator can help you find the probability of a specific number of events taking place in a fixed time interval and/or space if these events take place with a known average rate.

Normal Distribution
Use this calculator to find the area under the standard normal distribution, above, below, between, or outside any z-score or data value.
Find z-score given area

Confidence Interval Calculator (z)
Use this calculator to compute the confidence interval or margin of error, assuming the sample mean most likely follows a normal distribution. Use the Standard Deviation Calculator if you have raw data only.
Simple Confidence Interval (t)
Use this calculator to find the confidence interval about the mean, when the population standard deviation is unknown, and alpha is either 0.20, 0.10, 0.05, or 0.01
Margin of Error Calculator

Hypothesis Testing for the Mean (z-test)
Use this online calculator to verify your calculations for a hypothesis test when the population standard deviation is known. (Note: if you enter a level of significance other than those provided, you may need to avoid typing a 0 before the decimal point. For example, instead of 0.07 you must type only .07)
Quick P-value calculator (from z-score)
Enter your standardized test statistic, z-score, to quickly find the P-value. Be sure to choose whether your test is one-tailed or two-tailed. However, for simply finding the p-value, you may ignore the "Significance Level".
Hypothesis Testing for a Proportion
P-value calculator

Correlation and regression calculator
Enter two data sets and this calculator will find the equation of the regression line and correlation coefficient. The calculator will generate a step by step explanation along with the graphic representation of the data sets and regression line.

Helpful Videos

A brief overview of statistics and common vocabulary used.

Note: The narrator in the Simple Learning Pro videos uses the term "categorical data" but in your course you'll see the term "qualitative data".

Learn about the Placebo Effect, Control Groups, and the Double-Blind Experiment

Quickly learn about bar charts, pie charts, histograms, stem-and-leaf plots, and learn about which type of graphical tool is appropriate for describing quantitative variables, and qualitative variables.

Note 1: The narrator in the Simple Learning Pro videos uses the term "categorical data" but in your course you'll see the term "qualitative data".

Note 2: Please skip time index 1:47 to 2:43. This video does not cover class boundaries (learned in chapter 2.1) so please skip this small section of the video to avoid confusion.

This video quickly demonstrates how to find and compare the mean, the median, and the mode. You'll also cover how the shape or skew of a distribution affects each of them.

Note: Your course will not cover Exhaustive Events so you can stop watching this video at time index 2:09

Note: For an example of making a prediction or forecast using your pre-calculated linear regression equation, skip to 7:25 and watch until 8:15. Also note that the presenter arbitrarily rounds the values of a and b. Be sure to round as indicated on your homework, quizzes, or tests.

The Student Success Commons at York County Community College: Statistics (MAT 124)