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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 Quicklinks

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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.

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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 and Range -- Sorted Sets (Sets of 5 from 10 to 99) (A)

Welcome to The Mean, Median, Mode and Range -- Sorted Sets (Sets of 5 from 10 to 99) (A) Math Worksheet from the Statistics Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2013-02-16 and has been viewed 162 times this week and 134 times this month. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math.

Teacher s can use math worksheets as test s, practice assignment s or teaching tool s (for example in group work , for scaffolding or in a learning center ). Parent s can work with their children to give them extra practice , to help them learn a new math skill or to keep their skills fresh over school breaks . Student s can use math worksheets to master a math skill through practice, in a study group or for peer tutoring .

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COMMENTS

  1. Mean, Mode, Median, Range Practice Questions

    August 28, 2019 corbettmaths Mean, Mode, Median, Range Practice Questions Click here for Questions . Click here for Answers . averages, average, means, modes, medians, ranges Practice Questions Previous Area of a Triangle Practice Questions Next Median from a Frequency Table Practice Questions

  2. Mean Median Mode and Range

    Description: Middle value of the set of numbers How to find… Organize the numbers in increasing order, the median is the middle or centermost number. If there are two middle numbers, add them and divide by 2 to get the median. Advantages: Not affected by the outliers in the data set.

  3. How to Find Mean, Mean, Mode and Range: Your Complete Guide

    What does the mean, median, mode, and range represent? How can you find the mean, median, mode, and range of a data set? What is Central Tendency? Mean, median, and mode are measures of central tendency and are three different ways of expressing averages of a set of data. The key term here is average.

  4. Mean Median Mode Range Worksheets

    Examples 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

  5. Mean, median, and mode (practice)

    Lesson 1: Measuring center in quantitative data Statistics intro: Mean, median, & mode Mean, median, & mode example Mean, median, and mode Calculating the mean Calculating the mean Calculating the median Choosing the "best" measure of center Mean, median, and mode review Mean, median, and mode Google Classroom

  6. Mean, median, and mode review (article)

    1 + 2 + 4 + 5 = 12 There are 4 data points. mean = 12 4 = 3 The mean is 3 . Practice problems Problem A What is the arithmetic mean of the following numbers? 10, 6, 4, 4, 6, 4, 1 mean = Want to practice more of these? Check out this exercise on calculating the mean.

  7. How to calculate averages, mean, median, mode and range

    How to find the mean, median, mode and range Part of Maths Averages Year 6 Watch: Calculating the mean, mode and median Play 01:03 What is the median? The median is the middle...

  8. Mean, Median, Mode, and Range

    Find the mean, median, mode, and range for the following list of values: 1, 2, 4, 7. The mean is the usual average: (1 + 2 + 4 + 7) ÷ 4 = 14 ÷ 4 = 3.5. The median is the middle number. In this example, the numbers are already listed in numerical order, so I don't have to rewrite the list. But there is no "middle" number, because there are an ...

  9. All about Averages

    Problem-solving Schools; About NRICH expand_more. About us; ... median and mode? In these puzzling problems we invite you to be playful with numbers and discover how averages change when data sets are tweaked. About Average . Age 11 to 14. Challenge Level. Can you find sets of numbers which satisfy each of our mean, median, mode and range ...

  10. Mean, median, & mode example (video)

    For the people that are having a hard time remembering the differences between these three here is what me and my class uses while were in class: Hey diddle diddle, The median is the middle. You add and divide for the mean. The mode is the one that appears the most. And the range is the difference in between. •.

  11. Mean, Median, Mode, and Range

    This central tendency statistics math video tutorial explains how to calculate the mean, median, mode, and range given a data set of odd numbers and even num...

  12. Mean Median Mode Questions with Solutions

    1. Find the mean of the first 10 odd integers. Solution: First 10 odd integers: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19 Mean = Sum of the first 10 odd integers/Number of such integers = (1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19)/10 = 100/10 = 10 Therefore, the mean of the first 10 odd integers is 10. 2. What is the median of the following data set?

  13. Mean, Median, Mode and Range Worksheets

    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!

  14. Mean Mode Median and Range Worksheets

    These Mean Mode Median and Range Worksheets will generate 10 Mean Mode Median and Range problems per worksheet. 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.

  15. Mean, Median, Mode and Range

    Students can use math worksheets to master a math skill through practice, in a study group or for peer tutoring. Use the buttons below to print, open, or download the PDF version of the Mean, Median, Mode and Range -- Sorted Sets (Sets of 5 from 10 to 99) (A) math worksheet. The size of the PDF file is 35070 bytes.

  16. Calculating the Mean, Median, Mode & Range: Practice Problems

    Mean, Median, Mode & Range Definitions The mean is the arithmetic average of a data set. This is found by adding the numbers in a data set and dividing by how many numbers there are. The...

  17. How to Find Mode, Median, Mean and Range: 9 Steps (with Pictures)

    The mean is (5+6+6+6+6+7) ÷ 6 = 36/6 = 6. The mode is 6, because there are more sixes than any other number. The median is 6, because if the six numbers are written in either descending or ascending order, the average of the two middle numbers (6 and 6) is 6. The range is 2, because the difference between the highest and lowest numbers (7 and ...

  18. Mean, Median, Mode

    Example 4: finding the median. Find the median: Make sure the list of numbers is in numerical order. Find the middle of the data set. There is an even number of values, so we have a middle pair. The average of 4 4 and 6 6 is 5 5. (Or the midpoint of 4 4 and 6 6 is 5 5 ). \frac {4+6} {2}=\frac {10} {2}=5 24+6 = 210 = 5.

  19. Mean Median and Mode

    Introduction to Mean, Median and Mode: Often in statistics, we tend to represent a set of data by a representative value which would approximately define the entire collection. This representative value is called the measure of central tendency, and the name suggests that it is a value around which the data is centred.

  20. Problem Solving Averages and Range

    29 January 2018 Not quite what you were looking for? Search by keyword to find the right resource: A mixed bag of problem solving style questions on mean, median, mode and range. Suitable for key stage 3 and key stage 4 student. Answers are included too.

  21. Practice Problems on Mean Median Mode

    Hui breeds ducks. The number of ducklings surviving for each pair after one month is recorded in the table. a) Calculate the : (i) mean (ii) median (iii) mode (c) the mean of A is less than the mean of B. (d)median is the same. (3) (a)Mean = 1.4(b)median = 1 (c)mode = 1 (4) (a)(i)Mean = 5.74 (ii)median = 7 (iii)mode = 8 (b)

  22. Mean, Median and Mode

    Solution: Mean of the data 10, 30, 40, 20, 50 is Mean = (sum of all values) / (number of values) Mean = (10 + 30 + 40 + 20+ 50) / 5 = 30 Mean of Grouped Data Mean for the grouped data can be calculated by using various methods. The most common methods used are discussed in the table below, Also, Check Mean What is Median?

  23. Mean Median Mode

    The mode is the value that occurs the most often in a data set and the range is the difference between the highest and lowest values in a data set. The Mean \ [\large \overline {x}=\frac {\sum x} {N}\] Here, ∑ represents the summation X represents observations N represents the number of observations .