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Math for Kids23 chapters | 325 lessons

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Lesson Transcript

Instructor:
*Nola Bridgens*

Nola has taught elementary school and tutored for four years. She has a bachelor's degree in Elementary Education, a master's degree in Marketing, and is a certified teacher.

In this lesson, you'll discover what a frequency histogram is and how to identify its elements. You'll also learn how frequency histograms help organize data through real-life examples.

Have you ever wanted to live in the freezing tundra of Alaska? If so, I hope you like cold weather! The following data set shows the average temperature each month in Fairbanks, Alaska:

1 10 25 44 61 68

67 66 55 32 11 5

We can organize this data into a frequency histogram to help us analyze the information. A **frequency histogram** is a graph with vertical columns that represent the frequency of a data point or range of data points occurring in a set of data. It's a really useful tool we can use to visualize a data set and make it easier to understand.

In this data set, as you can see, we have numbers that range from 1 to 68, so it makes sense to organize the frequency histogram into groups of 10. You can see these groups on the x-axis labeled 'Average Monthly Temperature in Degrees F.' The height of each bar, labeled on the y-axis, represents how many times the numbers in the range appeared in the data set. Looking at the frequency histogram, we can quickly see that the most common temperatures are 0-9 degrees, 10-19 degrees, and 60-69 degrees. That's pretty darn cold, so I'm ready to talk about somewhere warmer, but first let's go over the elements every frequency histogram needs.

Every frequency histogram needs a title, an x-axis, a y-axis, and bars. The x-axis lists all the mutually exclusive outcomes from the data set, each with their own bar. The y-axis has a scale that shows the frequency of that outcome in the data set. The height of the bar aligns with the appropriate number on the scale on the y-axis to show the frequency of that particular outcome occurring in the data set.

I don't know about you, but I'm ready to talk about somewhere warmer. How about the tropical paradise of Hawaii? Brock and his brother Jackson went exploring the endless beaches in Hawaii in search of seashells and other ocean findings. After a long day in the warm sun, they came home with a bucket full of treasures. This is what they found:

puka shell, cone shell, puka shell, driftwood, sea glass, cone shell, starfish, sea glass, puka shell, cone shell, driftwood, puka shell, sea glass, puka shell, cone shell, driftwood, sea glass, puka shell, cone shell

Grab a pencil and paper and try this one with me.

First, let's list the possible outcomes that will each have their own bar in the x-axis:

- Puka shell
- Cone shell
- Driftwood
- Sea glass
- Starfish

Next, let's use tally marks to count how many times each possible outcome appears in the data set. In other words, we are counting how many of each shell was found.

- Puka shell - 6
- Cone shell - 5
- Driftwood - 3
- Sea glass - 4
- Starfish - 1

The scale on the y-axis needs to have the numbers from 1-6 because all of the frequencies fall between this range.

This is what a frequency histogram looks like for this data. You can see very quickly that they found a lot of puka shells and cone shells but only one starfish. The graph makes it very simple to visualize and analyze the data.

Let's take a quick moment to review what we've learned. A **frequency histogram** is a type of bar graph that shows the **frequency**, or number of times, an outcome occurs in a data set. It has a title, an x-axis, a y-axis, and **vertical** bars to visually represent the data. Frequency histograms help organize data and make it easier to understand. So now you should be able to make use of them next time you're trying to figure out how often something happened!

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11 in chapter 14 of the course:

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Math for Kids23 chapters | 325 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

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