Friday, March 1, 2013

Range In Math

Introduction to range in math:

In math, Data set is a collection of data, which is usually presented, in tabular form. Each column represents a variable. In math, Range is generally defined as the value we obtained as a result of difference between a greater value and a smaller value.
In other words, range is defined as the difference between a maximum and minimum value. I like to share this Domain and Range Calculator with you all through my article.

Steps to learn the range in math:


In order to learn the range of data set the following steps are necessary.

Step 1: Arrange the numbers from ascending to descending order.

Step 2: Identify the greater value in the given set

Step 3: Identify the smaller value in the given set

Step 4: Find the difference between the greater value and the smaller value to identify the range of the given data set.


Worked Examples for range in math:


Example 1:

Find the range of the data set given below:

8 , 15 , 13 , 7 , 24 , 37 , 6.

Step 1: Arranging the numbers given in data set from least to greatest.

6 , 7 , 8 , 13 , 15 , 24 , 37.

Step 2: Identify the greater value in the given set

From the given set, we can identify 37 as the greater value.

Step 3: Identify the smaller value in the given set

From the given set, we can identify  6 as the smaller value.

Step 4: Find the Range.

Range     =   Greater value – Smaller value

=   37 - 6

=  31

Hence, the range of the given data set is 31.

Example 2:

Find the range of the data set shown below:

33 , 12 , 79 , 24 , 34 , 53 , 27 , 61

Step 1: Arranging the numbers given in data set from least to greatest.

12 , 24 , 27 , 33 , 34 , 53 , 61 , 79.

Step 2: Identify the greater value in the given set

From the given set, we can identify 79 as the greater value.

Step 3: Identify the smaller value in the given set

From the given set, we can identify  12 as the smaller value.

Step 4: Find the Range.

Range    =   Greater value – Smaller value

=   79 - 12

=   67

Hence, the range of the given data set is 67.

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Practice problems for range in math:


1) Find the range of the data set shown below:

7 , 9 , 19 , 31 , 37 , 43 , 6 , 37

Answer: 37

2) Find the range of the data set shown below:

14 , 11 , 32 , 10 , 32 , 77 , 27 , 43

Answer: 67

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