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Statistics 101: Principles of Statistics11 chapters | 144 lessons | 9 flashcard sets

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Lesson Transcript

Instructor:
*Cathryn Jackson*

Cat has taught a variety of subjects, including communications, mathematics, and technology. Cat has a master's degree in education and is currently working on her Ph.D.

Frequency and relative frequency tables are a good way to visualize information. This is especially useful for information that is grouped into categories where you are looking for popularity or mode.

Steven and Renee are a husband and wife couple that just started a local restaurant business. They want to have a signature steak to serve on the weekends. They asked twenty of their friends to taste test five different types of steaks to see which steak they should serve. Four people choose steak number one, five people choose steak number two, two people choose steak number three, six people choose steak number four, and three people choose steak number five. Steven and Renee can use frequency and relative frequency tables to analyze and visualize their choices.

A **frequency table** is a chart that shows the popularity or mode of a certain type of data. When we look at a frequency, we are looking at the number of times an event occurs within a given scenario. A **relative frequency table** is a chart that shows the popularity or mode of a certain type of data based on the population sampled. When we look at relative frequency, we are looking at the number of times a specific event occurs compared to the total number of events.

The data set for the steak tasting is as follows, where each number represents the steak that was chosen as the best:

*1, 5, 3, 1, 2, 3, 4, 5, 1, 4, 2, 4, 4, 5, 1, 4, 2, 4, 2, 2*

We can use our data to create a frequency table like this.

Notice that the first column indicates the type of steak. The second column shows a tally mark indicating the number of people who chose each steak. The third column indicates the frequency with which each steak was chosen. The tally mark and the frequency number should always match.

To create a relative frequency table, we need to do some dividing. A relative frequency table shows the number of people that chose each steak compared to the number of people that did the tasting. Take a look at this new chart.

To find the relative frequency for each steak choice, we need to take the frequency for each choice and divide that number by 20. We are dividing by 20 here because there was a total number of 20 people who tasted the steaks. The number in the third column is the relative frequency number. You can actually take this number and convert it into a pie chart like this.

Since we are looking at all of the people that tasted the steaks, that is 100% of the tasters. The relative frequency number can be converted into a percentage to show the percentage of people that chose each type of steak.

A year later, Steven and Renee are putting on a chili cook-off as part of a charity fundraiser for a friend. There are seven different types of chilis entered into the contest. The following frequency table shows the chilis that were chosen as the best in the taste test.

The first column is the number that was assigned to each type of chili. The second column shows the tally of how many people chose each type of chili, and the third shows the frequency number. A total of 50 people tasted the chili. Take a moment and pause the video. Try to find the relative frequency of each type of chili.

How did you do? Remember to find relative frequency, you need to divide each number by the total number of values in the data set - in this case, 50. These are the numbers I got for my relative frequency table.

Chili number 1 received the most votes and won the chili-off contest.

Frequency tables and relative frequency tables are a great way of visualizing the popularity of data or for finding the modes in a data set. A frequency table is a chart that shows the popularity or mode of a certain type of data. When we look at frequency, we are looking at the number of times an event occurs within a given scenario.

A relative frequency table is a chart that shows the popularity or mode of a certain type of data based on the population sampled. When we look at relative frequency, we are looking at the number of times a specific event occurs compared to the total number of events.

You can find the relative frequency by simply dividing the frequency number by the total number of values in the data set. In fact, you can use a relative frequency chart to create a pie chart because the relative frequency numbers can be converted into percentages!

At the end of this lesson, you should be able to find the relative frequency of a data set by constructing frequency and relative frequency data tables.

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Statistics 101: Principles of Statistics11 chapters | 144 lessons | 9 flashcard sets

- Frequency & Relative Frequency Tables: Definition & Examples 4:48
- How to Calculate Percent Increase with Relative & Cumulative Frequency Tables 5:47
- Creating & Reading Stem & Leaf Displays 4:27
- Creating & Interpreting Histograms: Process & Examples 5:43
- Creating & Interpreting Frequency Polygons: Process & Examples 5:48
- Creating & Interpreting Dot Plots: Process & Examples 7:35
- Creating & Interpreting Box Plots: Process & Examples 6:29
- Understanding Bar Graphs and Pie Charts 9:36
- Making Arguments & Predictions from Univariate Data 8:35
- What is Bivariate Data? - Definition & Examples 8:12
- What is a Two-Way Table? 3:40
- Joint, Marginal & Conditional Frequencies: Definitions, Differences & Examples 9:57
- Go to Tables and Plots

- Go to Probability

- Go to Sampling

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