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Central Tendency Worksheets: Mean, Median, Mode and Range
Mean, median, mode and range worksheets contain printable practice pages to determine the mean, median, mode, range, lower quartile and upper quartile for the given set of data. The pdf exercises are curated for students of grade 3 through grade 8. Interesting word problems are included in each section. Sample some of these worksheets for free!
Average or mean worksheets have plentiful exercises to find the average of numbers, numbers with practical units and decimals.
Identify the maximum and minimum values to find the range of the given data. Word problems are included for practice.
In these worksheets, 3rd grade and 4th grade children identify the median (middle value) of the represented data. Two word problems included.
Determine the first (lower) quartile, second (median) quartile and the third (upper) quartile of the given data. One word problem included in each pdf worksheet for 5th grade and 6th grade students.
Mean, Median, Mode and Range: Level 1
These printable central tendency worksheets contain a mixed review of mean, median, mode and range concepts. Around 8 data are used in level 1.
Mean, Median, Mode and Range: Level 2
Find the mean, median, mode and range of each set of data. Each sheet has six problems with around 15 data.
Word Problems: Level 1
This exclusive section has five word problems to find the mean, median, mode and range of the given data.
Word Problems: Level 2
A variety of informative data are included as word problems in these central tendency worksheet pdfs requires 7th grade and 8th grade students to determine the values of mean, median, mode and range.
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Mean Median Mode & Range Worksheets
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Mean Median Mode Range Worksheets and Help
Welcome to the Math Salamanders Mean Median Mode Range Worksheets. Here you will find a wide range of free printable Worksheets, which will help your child learn how to find the mean, median, mode and range of a set of data points.
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Mean Median Mode Range Worksheets
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What is the Mean?
The mean is the average of a set of numbers.
It is found by adding up the set of numbers and then dividing the total by the number of data points in the set.
How to find the mean
Step 1) Add up all the numbers in the set.
Step 2) Divide the total by the total number of data points in the set.
Example 1) Find the mean of 5, 7, 8 and 4
Step 1) Add up the numbers to give a total of 5+7+8+4=24
Step 2) Divide the total by the number of data points. 24 ÷ 4 = 6
Answer: the mean is 6.
Example 2) Find the mean of 8, 2, 5, 7 and 13
Step 1) Add up the numbers to give a total of 8+2+5+7+13=35
Step 2) Divide by the number of data points. 35 ÷ 5 = 7
Answer: the mean is 7.
What is the Median?
The median is the midpoint (or middle value) of a set of numbers.
It is found by ordering the set of numbers and then finding the middle value in the set.
How to find the median
Step 1) Order the numbers in the set from smallest to largest.
Step 2) Find the middle number.
- If there is an odd number of values in the set, then the median is the middle value.
- If there is an even number of values in the set, then the median is the average of the two middle values.
Example 1) Find the median of 5, 7, 8, 2 and 4
Step 1) Put the numbers in order: 2, 4, 5, 7, 8
Step 2) There is an odd number of values in the set so the median is the middle value which is 5.
Answer: the median is 5.
Example 2) Find the median of 23, 27, 16, 31
Step 1) Put the numbers in order: 16, 23, 27, 31
Step 2) There is an even number of values in the set, so the median is the average of the middle two values.
(23+27) ÷ 2 = 25
Answer: the mean is 25
Example 3) Find the median of 7, -4, 9, -7, -2, 5
Step 1) Order the numbers: -7, -4, -2, 5, 7, 9
To get the average, simply add the two values together and divide by 2:
(-2 + 5) ÷ 2 = 1.5
Answer: the mean is 1.5
What is the Mode?
The mode is the most common (or the data point that appears most often) in a set of data.
It can be found by putting the data into an ordered list and seeing which data point occurs most often.
How to find the mode
Step 1) Put the data into an ordered list.
Step 2) Check that you have got the same number of data points.
Step 3) The mode is the data point which is the most common.
Finding the Mode Examples
Example 1) Find the mode of 3, 6, 4, 3, 2, 4, 7, 8, 6, 3, 9
This gives us: 2, 3, 3, 3, 4, 4, 6, 6, 7, 8, 9
Step 2) Check the number of data points in both lists is the same.
Both lists have 11 data points.
Step 3) The mode is the number which occurs most often.
Answer: the mode is 3.
Example 2) Find the mode of 0.6, 0.3, 0.4, 0.2, 0.4, 0.7, 0.6, 0.1, 0.4, 0.9
This gives us: 0.1, 0.2, 0.3, 0.4, 0.4, 0.4, 0.6, 0.6, 0.7, 0.9
Both lists have 10 data points.
Answer: the mode is 0.4.
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What is the Range?
The range is the gap between the smallest and largest data point.
It is found by putting the data into an ordered list and find the difference between the largest and smallest amount.
How to find the range
Step 3) The range is the difference between the largest and smallest data point.
To find the range simply subtract the smallest number from the largest number.
Finding the Range Examples
Example 1) Find the range of 14, 21, 9, 32, 27, 15, 12, 30
This gives us: 9, 12, 14, 15, 21, 27, 30, 32
Both lists have 8 data points.
Step 3) The range is the difference or gap between the largest and smallest numbers.
Answer: the range is 32-9=23.
Example 2) Find the range of 6, 2, -7, 2, -5, 11, 3, -4, 0, 9
This gives us: -7, -5, -4, 0, 2, 2, 3, 6, 9, 11
Answer: the range is 11-(-7)=18.
These printable mean median mode range worksheets have been carefully graded to ensure a progression in the level of difficulty.
The first sheet involve finding the mean, median, mode and range of some positive whole numbers.
The 2nd sheet involves the use of decimals to 1dp.
The 3rd sheet involves decimals and negative numbers.
The 4th, 5th and 6th sheets are similar to the first 3 sheets but with increased number of data points.
- Mean Median Mode and Range Sheet 1
- PDF version
- Median Mean Mode and Range Sheet 2
- Median Mean Mode and Range Sheet 3
- Median Mean Mode and Range Sheet 4
- Median Mean Mode and Range Sheet 5
- Median Mean Mode and Range Sheet 6
Mean Median Mode Range Problems
These printable mean median mode range problem sheets will help your child to use and apply their skills to solve problems.
- Median Mean Mode and Range Problems 1
- Median Mean Mode and Range Problems 2
Mean Median Mode Range Walkthrough Video
This short video walkthrough shows the problems from our Median Mean Mode and Range Problems Sheet 2 being solved and has been produced by the West Explains Best math channel.
If you would like some support in solving the problems on these sheets, check out the video!
More Recommended Math Worksheets
Take a look at some more of our worksheets similar to these.
- Mean Worksheets
The sheets in this section will help you to find the mean of a range of numbers, including negative numbers and decimals.
There are a range of sheets involving finding the mean, and also finding a missing data point when the mean is given.
- Median Worksheets
The sheets in this section will help you to find the median of a range of numbers, including negative numbers and decimals.
On some of the easier sheets, only odd numbers of data points have been used.
On the harder sheets, both odd and even numbers of data points have been included.
- Mode and Range Worksheets
The sheets in this section will help you to find the mode and range of a set of numbers, including negative numbers and decimals.
There are easier sheets involving fewer data points, and harder ones with more data points.
The sheets in this section will help you to solve problems involving bar graphs and picture graphs.
There are a range of sheet involving reading and interpreting graphs as well as drawing your own graphs.
- Box Plot Worksheets
Here are our selection of box plot worksheets to help you practice creating and interpreting box plots.
Mean, Median, Mode and Range Online Quiz
Our quizzes have been created using Google Forms.
At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.
This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.
For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.
We do not collect any personal data from our quizzes, except in the 'First Name' and 'Group/Class' fields which are both optional and only used for teachers to identify students within their educational setting.
We also collect the results from the quizzes which we use to help us to develop our resources and give us insight into future resources to create.
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We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.
This quick quiz tests your knowledge and skill at finding and using the mean, median, mode and range of a set of data.
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Mean Median Mode Range Worksheets
The mean median mode range is the entry-level topic under the bigger umbrella of statistics. Mean refers to the average value of the population of data. Median refers to the central value of the data but before finding it, all the values must be arranged in a decreasing or increasing order. Mode refers to the most re-occurring value of data. Range means the interval in which all the values of the data lie.
Benefits of Worksheet on Mean Median Mode Range
This worksheet on mean median mode and range will help you understand the topic in-depth. They will also help you understand how they are interlinked and it will make you fluent with the questions. This will, in turn, help you ace the exams. These math worksheets are fully solved, so you will get the answers to the questions in which you get stuck, saving your time.
Download Mean Median Mode Range Worksheet PDFs
These worksheets should be practiced regularly and are free to download in PDF formats.
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These worksheets introduce the concepts of mean, median, mode and range. These values are calculated on sequences of numbers and can be used to provide general statistics or summaries about groups of measurements or other groups of data. The worksheets on this page start with simple list of integers, but there are worksheets appropriate for using a calculator to calculate means and medians for larger values.
Mean, Median, Mode, Range Worksheets
24 mean, median, mode and range worksheets.
Problem worksheets for finding the mean, median, mode and range given a set of numbers. These are basic problems suitable for 'by-hand' calculations. The data in earlier problems are pre-sorted.
Calculator Mean, Median, Range
16 mean, median, mode and range worksheets.
Harder problems for determining the mean, median, mode and range from a larger set of numbers. You will probably want a calculator to solve these problems.
Negative Mean, Median, Range
28 mean, median, mode and range worksheets.
Problem worksheets for finding the mean, median, mode and range for sets of negative numbers.
Mixed Sign Mean, Median, Range
Problem worksheets for finding the mean, median, mode and range for sets of mixed sign numbers. These problems can be solved by hand, and earlier worksheets have the numbers sorted to make finding the median and mode easier.
Calculator Mixed Sign Mean, Median, Mode, Range
12 mean, median, mode and range worksheets.
Harder Mixed Sign problems suitable for calculator practice.
Mean, Median Mode and Range Explained!
We deal with lists of numbers frequently, and we often need to summarize those lists in a way that makes comparisons easy. If you're just entering 6th grade, you'll need to be ready for these statistical comparisons! The mean, median, mode and range are all statistical values that make talking about a whole list of numbers easier.
So what do the terms mean, median, mode and range actually mean? And how do we calculate them? Let's find out!
What is the Mean?
The value you often call the 'average' is more correctly called the arithmetic mean. We calculate the mean by adding up all the values in the set, then dividing by the count of numbers in the set.
A good example of this is figuring out what the average score for all the students who took a test in a class. If you're a student in this class, you could sum everyone's score and then divide it by the number of students who took the test. That number would be the mean test score for that class, and you could compare your score to see whether you were above or below it to tell if you did (generally speaking) better or worse than your classmates.
You'll often find, especially when the number of samples being compared is small, that there are one or two values that can be extremes and that can have a larger effect on the mean, shifting it up or down more than you might expect. Often a strategy to avoid this shifting is to throw away outliers (for example, to not include the top or bottom scores in earned by our classmates) when calculating the mean, so that the average is more closely associated with a larger number of students.
Another way to help understand the effect of these outliers on the mean value is to consider other measurements. So let's talk about the median, mode and range!
What is the Median?
The median value is the value in the middle of all of our samples. Do you know what the median is on a road or highway? It's the thing in the middle. The same concept applies to the median of a set of numbers... If you put all of the values in order, the median would be one in the very middle of the set.
If we are back to our test taking example, if we knew the median score we would know exactly half of the students did better than that score on the exam, and exactly half of the students did worse.
If the scores are evenly distributed on both sides of the median, then the average and the median should be the same value. However if the median and the mmean are far apart, it's probably worth looking for outliers... Like that quiet kid in the back row who always seems to get 100% on the tests.
What do you do if you don't have an exact middle value in a set? For example, if our set of scores has an even number of values in it, then there isn't an single specific value in the exact middle. In that situation, average the two middle scores to calculate the median value.
What is the Mode?
So what about the mode? The mode is simply the specific value that occurs most frequently. Consider a test that had ten questions on it, each worth 10 points. If out of the class there were several students who scored 70 points on that test, an only one or two or none students got other scores such 80 points, 60 points or 100 points, the fact that 70 points occurred more frequently than any other result would make it the mode.
Again, in a perfect world with perfect distribution, there would be fewer results greater than the mode, also fewer results less than the mode, and the greater the discrepeancy between the mode and the median and the mean, the more the distribution of values is uneven.
A particularly strong mode in a set of numbers may make you question the way the data was collected, or even the measurement itself. For example, you might argue that a mode in the test scores at 70% suggests that three of those questions on the test were simply too difficult for the class, and that maybe one or two of those should be thrown out!
What is the Range?
The final peice of statistics that we'll look at here is the range. The range measures the distance between the greatest and the least value in the set. So again for our test-taking analogy, consider the high score and the low score and how large the span is between them.
If the highest score on our test was 90 points and the lowest score was 40 points, the range would be 50 points (90-40). If everybody got the same score no matter what it was, then the range would be zero.
Why do we care about the range? It tells us if the samples in our set are widely distributed, of if they're clustered more together. Saying the range is relatively small is another way of saying the samples are all near each other.
I hope this clears up a little bit of how the mean, median, mode and range all relate to the values in a collection of numbers, and I hope they help you talk your teachers into adjusting scores on an exam or two in your near future!
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Mean Mode Median Worksheets
Mean, mode, median, and range worksheets.
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Mean Mode Median and Range Definition Worksheets These Mean Mode Median and Range Worksheets will produce a handout for the students that give examples and definitions for Mean, Mode, Median, and Range .
Mean Mode Median and Range Problems Worksheets These Mean Mode Median and Range Worksheets are great for practicing how to compute mean, mode, median, and range for data sets of numbers. These Mean Mode Median and Range Worksheets will generate 10 Mean Mode Median and Range problems per worksheet.
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Here you will find another series of progressive worksheets, filled with step-by-step examples, that will help students master the art of analyzing data sets. These worksheets start off with simple problems asking you to calculate the Mean/Median/Mode/Range of a variety of data sets. At first, you’ll probably be able to get by with simple mental math, but eventually you may reach for the calculator.
Mean/Median/Mode/Range Worksheet #1 – This is a 10 problem worksheet where you will find the Mean/Median/Mode/Range of different sets of numbers. Only whole numbers are featured, with odd-numbered sets that produce a definite median.
Mean/Median/Mode/Range Worksheet 1 RTF Mean/Median/Mode/Range Worksheet 1 PDF Preview Mean/Median/Mode/Range Worksheet 1 in Your Browser View Answers
Mean/Median/Mode/Range Worksheet #2 – This is a 10 problem worksheet where you will find the Mean/Median/Mode/Range of different sets of numbers. On this worksheet, you will only deal with whole numbers. Some of the problems feature even-numbered sets and multiple modes.
Mean/Median/Mode/Range Worksheet 2 RTF Mean/Median/Mode/Range Worksheet 2 PDF Preview Mean/Median/Mode/Range Worksheet 2 in Your Browser View Answers
Mean/Median/Mode/Range Worksheet #3 – This is a 10 problem worksheet where you will find the Mean/Median/Mode/Range of different sets of numbers. Some problems require you to find the median between two remaining numbers in an even-numbered set. Mental math should be sufficient for this worksheet and all of the previous worksheets.
Mean/Median/Mode/Range Worksheet 3 RTF Mean/Median/Mode/Range Worksheet 3 PDF Preview Mean/Median/Mode/Range Worksheet 3 in Your Browser View Answers
Mean/Median/Mode/Range Worksheet #4 – Time to break out the calculator! This 10 problem worksheet asks you to do some rounding for the mean, and the medians feature some decimals. As usual, there are some step by step examples to guide you along the way.
Mean/Median/Mode/Range Worksheet 4 RTF Mean/Median/Mode/Range Worksheet 4 PDF Preview Mean/Median/Mode/Range Worksheet 4 in Your Browser View Answers
Mean/Median/Mode/Range Worksheet #5 – Time to look at some serious decimals. This 10 problem worksheet features some means that need to be rounded from hundredths to tenths. You’ll also have to find the median of data sets like(0.10, 0.2, 0.9, 0.6, 0.8, 0.4),
Mean/Median/Mode/Range Worksheet 5 RTF Mean/Median/Mode/Range Worksheet 5 PDF Preview Mean/Median/Mode/Range Worksheet 5 in Your Browser View Answers
Mean/Median/Mode/Range Worksheet #6 – My favorite worksheet of the bunch. Challenge your students with data sets like (0.5, 0.05, 0.005. 5, 0.05), where they must add zeroes as decimal-place holders to put the set in order.
Mean/Median/Mode/Range Worksheet 6 RTF Mean/Median/Mode/Range Worksheet 6 PDF Preview Mean/Median/Mode/Range Worksheet 6 in Your Browser View Answers
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Mean, median and mode
Representing a data set with one number.
The mean, median and mode are three ways of representing a data set with a single number. The mean is the simple arithmetic average (total divided by number of items); the median is the "middle" value (equal number of larger or smaller data points) and the mode is the data value that occurs most frequently.
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Mean, median and mode are different ways of determining the average from a set of numbers. Range gives the difference between the highest and lowest values. The mean takes the sum of all the values, then divides the total by the number of v...
A mathematical outlier, which is a value vastly different from the majority of data, causes a skewed or misleading distribution in certain measures of central tendency within a data set, namely the mean and range, according to About Statist...
In mathematics, particularly in the field of statistics, the mode is the value that occurs most often in a series of numbers. It is also referred to as the modal value. If a set of data values does not have a repeating number, then it has n...
Central tendency worksheets have practice pages to determine the mean, median, mode, range, and quartiles of the data. Word problems have been included.
The best source for free math worksheets. Printable or interactive. Easier to grade, more in-depth and 100% FREE! Kindergarten, 1st Grade, 2nd Grade
from our Median Mean Mode and Range Problems Sheet 2 being solved and has
Mean Median Mode Range Worksheets - Worksheets prove to be the best resources to refine concepts through various types of questions.
Problem worksheets for finding the mean, median, mode and range for sets of mixed sign numbers. These problems can be solved by hand, and earlier worksheets
These Mean Mode Median and Range Worksheets are perfect for mastering the math topic of means, modes, medians, and ranges of data set of numbers.
Use the data on the line plot to answer the range, median, mean, and mode questions. 4th through 7th Grades. View PDF. Common Core. Multiple
This one-page worksheet offers students extra practice with range, median, mode, and mean. There are eight problems with a set of numbers
Mean/Median/Mode/Range Worksheet #3 – This is a 10 problem worksheet where you will find the Mean/Median/Mode/Range of different sets of numbers. Some problems
decide to have students complete only part of the worksheets in class and assign the rest as
The mean, median and mode are three ways of representing a data set with a single number. The mean is the simple arithmetic average (total divided by number