QUICK LINKS


Introduction

QUICK LINKS


Introduction

Mean, Median, Mode, and Range

INTRO
You know how the plot summary, genre, and runtime all tell us different things about a movie? Similarly, the mean, median, mode, and range are used to tell us different things about a set of numbers.

Genre: animated musical

Plot Summary: Aspiring musician Miguel, confronted with his family's ban on music, finds himself in the Land of the Dead looking for his great-great-grandfather, a legendary singer, and his true family history.

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Full Runtime:  2 hours

Halfway point: 1 hour


Movie:

Measurement:

Select one of the measurements above ⬆️ to learn more about it!
The mean (or average) is like the summary of a set of numbers. Each number is included in the calculation just like each part of the movie is included in the summary.
The median is the halfway point of a set of numbers when they're in order. Finding the median is like skipping straight to the middle or halfway point of a movie.
The mode is the number that shows up most often. Finding the mode is like figuring out what happens the most in a movie to determine its genre (action, musical, drama, thriller, etc.)
The range is the difference between the biggest and smallest numbers in a set of numbers. Finding the range is like calculating the run time of a movie from the beginning to end.
Check out our
Calculator
or explore our
Lesson
and
Practice
sections to learn more about how to find the mean, median, mode, and range of a set of numbers and test your understanding.

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CALCULATOR

Mean, Median, Mode, & Range Calculator

Enter your numbers:
Which are you trying to find?

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KEY STEPS

How to Find the Mean, Median, Mode, and Range

Which one are you trying to find?
The mean is the average of a group of numbers.
Finding the mean is like summarizing the meaning of a movie, which takes every part of the movie into account.

Step 1. Add all of the numbers together

Step 2. Divide the sum by the amount of numbers to get the average/mean.

The median is the middle number of a group of numbers.
Finding the median is like skipping straight to the middle or halfway point of a movie.

Step 1. Order the numbers from least to greatest.

Step 2. Find the number that appears in the middle.

There should be an equal amount of numbers before and after it.
If the total number of numbers is even, the median is the average of the two middle numbers.
The mode is the number that appears the most often.
Finding the mode is like figuring out what happens the most in a movie to determine its genre (action, musical, drama, thriller, etc.)

Step 1. Count the amount of times each number shows up.

Step 2. Find the number that appears the most.

Remember, it's possible to have multiple modes.
The range is the difference between the smallest and largest number.
Finding the range is like calculating the run time of a movie from the beginning to end.

Step 1. Order the numbers from least to greatest.

Step 2. Subtract the smallest number from the largest number to get the range.

LESSON
Finding the Mean

Finding the Mean

You know how a plot summary summarizes the meaning of a movie, covering each part of the movie?
Plot Summary: Aspiring musician Miguel, confronted with his family's ban on music, finds himself in the Land of the Dead looking for his great-great-grandfather, a legendary singer, and his true family history.
The mean summarizes a set of numbers, where each number is part of the summary.
To find the mean, we add up all the numbers and then divide by the amount of numbers. This is also called the average.
Let’s try this out with a couple example problems where we calculate the mean!

EXAMPLE 1

Find the mean of the following numbers: .
Remember, the mean is the average of a dataset. Finding the mean is like summarizing a set of numbers.

Step 1. Add all of the numbers together.

Step 2. Divide the sum by the amount of numbers to get the mean/average.

So, the mean is .

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EXAMPLE 2

Nice work! Now, find the mean of the following numbers: .
Remember, the mean is the average of a dataset. Finding the mean is like summarizing a set of numbers.

Step 1. Add all of the numbers together.

Step 2. Divide the sum by the amount of numbers to get the mean/average.

So, the mean is .

What would you like to do next?
Awesome! Expand the
Practice
below to try some more problems or expand the next
Lesson
to explore what we do to find the median of a set of numbers.
PRACTICE
Finding the Mean

Practice: Finding the Mean

Question 1 of 12: The mean is the average of a group of numbers. Finding the mean is like...

Step 2. Divide the sum by the amount of numbers to get the average.

Awesome job! Finding the mean is like summarizing the meaning of a movie, taking into account the full movie.

LESSON
Finding the Median

Finding the Median

The median is the middle number in a set of numbers when they are in order. It's like skipping straight to the middle or halfway point of a movie.

Halfway point: 1 hour

We can calculate the median by first ordering the numbers from least to greatest.
If there are an odd number of numbers, then the median is the number that appears in the middle.
There should be an equal amount of numbers before and after it.
If there are an even number of numbers, then the median is average of the two numbers in the middle.
Let’s try this out with a couple example problems where we calculate the median!

EXAMPLE 1

Find the median of the following numbers: .
Remember, the median is the middle number when the numbers are in order.
Finding the median is like skipping straight to the middle or halfway point of a movie.

Step 1. Order the numbers from least to greatest.

Step 2. Find the number that appears in the middle.

There should be an equal amount of numbers that come before and after it
So, the median is .

What would you like to do next?

EXAMPLE 2

Great job! Now let's try finding the median when there's an even number of numbers. Find the median of the following numbers: .
Remember, the median is the middle number when the numbers are in order.
Finding the median is like skipping straight to the middle or halfway point of a movie.

Step 1. Order the numbers from least to greatest.

Step 2. Find the number that appears in the middle.

There should be an equal amount of numbers that come before and after it
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Because the middle falls between two numbers, we need to take the average of the middle two numbers to get the median:
So, the median is .

What would you like to do next?
Awesome! Expand the
Practice
below to try some more problems or expand the next
Lesson
to explore what we do to find the mode of a set of numbers.
PRACTICE
Finding the Median

Practice: Finding the Median

Question 1 of 12: The median is the middle value of a group of numbers. Finding the median is like...

Step 2. Find the number that appears in the middle.

There should be an equal amount of numbers that come before and after it.
Awesome job! Finding the median is like skipping straight to the middle or halfway point of a movie.

LESSON
Finding the Mode

Finding the Mode

The mode is the number that shows up the most number of times. Finding the mode is like figuring out the genre of a movie - it's what's happening the most often, whether it's action, comedy, horror, or animated musical scenes.

Genre: animated musical

We can calculate the mode by counting the number of times each number shows up. The mode is the number that shows up the most.
If there are multiple numbers that appear the most number of times, then it is possible to have multiple modes!
Let’s try this out with a couple example problems where we calculate the mode!

EXAMPLE 1

Find the mode of the following numbers: .
Remember, the mode is the number that appears the most.
Finding the mode is like finding what happens the most in a movie to figure out its genre (action, musical, drama, thriller, etc.)

Step 1. Count the amount of times that each number shows up.

NumberAppearances
shows up times
shows up time
shows up time
shows up time

Step 2. Find the number that appears the most.

Since appears the most number of times, the mode is .

What would you like to do next?

EXAMPLE 2

Great job! Now let's try finding the mode of the following numbers: .
Remember, the mode is the number that appears the most.
Finding the mode is like finding what happens the most in a movie to figure out its genre (action, musical, drama, thriller, etc.)

Step 1. Count the amount of times that each number shows up.

NumberAppearances
shows up times
shows up times
shows up time
shows up time

Step 2. Find the number that appears the most.

Since appear the most number of times, the modes are .

What would you like to do next?
Awesome! Expand the
Practice
below to try some more problems or expand the next
Lesson
to explore what we do to find the range of a set of numbers.
PRACTICE
Finding the Mode

Practice: Finding the Mode

Question 1 of 12: The mode is the number that appears the most in a group of numbers. Finding the mode is like...

Step 2. Find the number that appears the most.

Remember, it's possible to have multiple modes.
Awesome job! Finding the mode is like figuring out what happens the most in a movie to determine its genre.

LESSON
Finding the Range

Finding the Range

The range is the difference between the smallest and largest numbers in group of numbers. Finding the range is like calculating the run time from beginning to end of a movie.

0

Full Runtime: 2 hours

We can calculate the range by first ordering the numbers from least to greatest, then subtracting the smallest number from the largest number.
Let’s try this out with a couple example problems where we calculate the range!

EXAMPLE 1

Find the range of the following numbers: .
Remember, the range is the difference between the smallest and largest numbers.
Finding the range is like finding the run time of a movie from the beginning to the end.

Step 1. Order the numbers from least to greatest.

Step 2. Subtract the smallest number from the largest number to get the range.

So, the range is .

What would you like to do next?

EXAMPLE 2

Great job! Now let's try finding the mode of the following numbers: .
Remember, the range is the difference between the smallest and largest numbers.
Finding the range is like finding the run time of a movie from the beginning to the end.

Step 1. Order the numbers from least to greatest.

Step 2. Subtract the smallest number from the largest number to get the range.

So, the range is .

What would you like to do next?
Awesome! If you’d like to practice additional problems finding the range of a set of numbers, expand the
Practice
below before closing out this lesson! ⚡
PRACTICE
Finding the Range

Practice: Finding the Range

Question 1 of 12: The range is the difference between the smallest and largest numbers in a data set. Finding the range is like...

Step 2. Subtract the smallest number from the largest number to get the range.

Awesome job! Finding the range is like calculating the run time of a movie from the beginning to the end.

CONCLUSION
Incredible job, look at you go! Thanks for checking out this lesson ☺️🙏. Where to next?
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