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"Math Salamanders Free Math Sheets"

Welcome to the Math Salamanders Mode and Range Worksheets.

Here you will find a wide range of free printable Worksheets,
which will help your child learn how to find the mode and range of a set of data points.

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Mode and Range Quicklinks

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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

Step 1) Put the data into an ordered list.

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

Step 1) Put the data into an ordered list.

This gives us: 0.1, 0.2, 0.3, 0.4, 0.4, 0.4, 0.6, 0.6, 0.7, 0.9

Step 2) Check the number of data points in both lists is the same.

Both lists have 10 data points.

Step 3) The mode is the number which occurs most often.

Answer: the mode is 0.4.

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 1) Put the data into an ordered list.

Step 2) Check that you have got the same number of data points.

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

Step 1) Put the data into an ordered list.

This gives us: 9, 12, 14, 15, 21, 27, 30, 32

Step 2) Check the number of data points in both lists is the same.

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

Step 1) Put the data into an ordered list.

This gives us: -7, -5, -4, 0, 2, 2, 3, 6, 9, 11

Step 2) Check the number of data points in both lists is the same.

Both lists have 10 data points.

Step 3) The range is the difference or gap between the largest and smallest numbers.

Answer: the range is 11-(-7)=18.

Mode Worksheets

These printable mode worksheets have been carefully graded to ensure a progression in the level of difficulty.

The first sheet involve finding the mode of some positive whole numbers, and decimal with 1 decimal place.

The 2nd sheet involves finding the mode of positive and negative numbers and decimals to 1dp.

Find the Mode Worksheets

Range Worksheets

These printable range worksheets have been carefully graded to ensure a progression in the level of difficulty.

The first sheet involve finding the range of positive whole numbers, and decimal with 1 decimal place.

The 2nd sheet involves finding the range of positive and negative numbers and decimals to 1dp.

Find the Range Worksheets

Mode and Range Worksheets

These mode and range worksheets involve finding both the mode and the range of a set of data.

The worksheets are as follows:

- Sheet 1 - only positive integers; up to 12 data points;
- Sheet 2 - positive and negative values; decimals to 1dp; up to 12 data points
- Sheet 3 - positive whole numbers for data; up to 19 data points.
- Sheet 4 - positive and negative values; decimals to 1dp; up to 19 data points

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.

Mean Median Mode and Range Worksheets

The sheets in this section will help you to find the mean, median, 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.

Bar Graph Worksheets

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.

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