# Finding Mean, Median & Mode on a Frequency Table

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• 0:01 Using a Frequency Table
• 0:57 Mode
• 1:48 Median
• 3:00 Mean
• 4:01 Lesson Summary
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Lesson Transcript
Instructor: Kevin Newton

Kevin has edited encyclopedias, taught middle and high school history, and has a master's degree in Islamic law.

Many times when you are dealing with statistical data, it will be presented in the form of a frequency table. As you'll see in this lesson, frequency tables often take much of the hard work out of analyzing a data set.

## Using a Frequency Table

Imagine that you had to analyze a long list of numbers. However, the person that you had to analyze it for is incredibly busy. In fact, he has fired his last two employees for being unable to put numbers to him in an easy-to-digest fashion. Still, for all the data he wants to have analyzed, it seems that some numbers are necessary. Desperately, you start to look around for other ideas when you stumble on the idea of a frequency table.

Frequency tables list out the total occurrences of a list of results in a chart or bar graph. That means you can quickly glance at a frequency table and get a rough idea of the numbers and what they mean. Still, for this to be useful, you also have to be able to use a table to find the mode, median, and mean of the data in question.

## Mode

Finding the mode on a frequency table is really easy. Remember that the mode of a set of numbers is simply 'the number that happens most frequently within that set of data' For example, if you had to analyze 4, 2, 7, 3, 5, 4, 2, and 4, you would know that the mode was 4. This is because 4 occurred three times, whereas every other number only happened once or twice.

However, on a frequency table, it is even easier. Simply look for the data point with the greatest quantity next to it. This could mean that it has the largest number, the biggest bar of the graph, or the most pictographs out next to it. Remember that a pictograph is a picture that represents a number of data points in question.

## Median

The median, on the other hand, is a little bit more difficult. Remember that the median is 'the middle number in a sequence'. For example, if we were to use the data set from earlier of 4, 2, 7, 3, 5, 4, 2, and 4, we'd have to put them in order. That means 2, 2, 3, 4, 4, 4, 5, and 7. Here, the median is also 4, but not because it is the most. There are eight numbers in the sequence. The middle numbers are 4 and 4. When we have two middle numbers, we average them to find the median. The average of 4 and 4 is 4.

On a frequency table, you shouldn't have to sort out the data, as it should already be neatly listed. Instead, find out how many total data points there are. Remember that a data point is simply a number that is part of our data. In this example, there are eight points. Now start at either end and count till four, the middle point of the data. If you start at the beginning, your first number is 2, your second counted number is also a 2, your third counted number is a 4, and your middle counted number is a 4.

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