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In these lessons, we will learn

  • about the statistical mean, median, mode and range
  • about statistical probability
  • about scatter plots and correlations

Statistical Mean

An important concept to understand when studying statistics is the statistical mean, or what is often called an average. We calculate the statistical mean of a list of numbers in order to find the general tendency of the numbers in the list. For example, the statistical mean of a list of grades describes where the grades tend to fall. Other useful statistical concepts to understand are the median and the mode.

How to find the mean or average of a set of numbers.

Statistical Median

In addition to the statistical mean and the statistical mode, the statistical median is an important concept used to describe a list of numbers. The statistical median divides an ordered list of numbers into two halves. When given a list with an even number of elements, the statistical median is found by calculating the mean of the middle two elements.
How to find the median

Statistical Mode

When given a list of numbers, we are often asked to find the statistical mode. The statistical mode is the most commonly occurring number in a list, and if more than one number occurs with the same frequency there can be more than one statistical mode. Other concepts that are often encountered with the statistical mode are the mean and the median.
How to find the mode.

Statistical Range

When given a list of numbers, we are often asked to find its statistical range. The statistical range of a list of numbers is the highest value minus the lowest value, and it describes how much the list of numbers can vary. Along with the statistical range, it's important to understand statistical mean, statistical median and statistical mode and how they apply to a list of numbers
How to find the range

Statistical Probability

It can be convenient to calculate the likeliness of an event occurring, and in many cases we can use statistical probability. We often encounter this in problems involving card games or dice rolling. We can also use statistical probability to find the likelihood of an event's complement happening, where the complement describes everything not in the event.

This video introduces probability and determine the probability of basic events.

Scatterplots and Correlations

When given a list of numbers, we can use scatterplots to represent the data. Scatterplots can show information about the data through their correlation. It is important to be able to recognize positive and negative correlations in scatterplots, or the lack any correlation. The correlation of scatterplots can give us information about the tendency of the data. Other measures we can use to describe data include along with finding mean, median and mode.

Scatter Plots : Introduction to Positive and Negative Correlation
Creating a Scatter Plot

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.
Mathway Calculator Widget

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