How to Calculate the Range of a Data Set: 4 Steps

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How to Calculate the Range of a Data Set: 4 Steps
How to Calculate the Range of a Data Set: 4 Steps

Video: How to Calculate the Range of a Data Set: 4 Steps

Video: How to Calculate the Range of a Data Set: 4 Steps
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In statistics, the range of a data set is known as the difference between its largest and smallest values. All you have to do to find it is to arrange the set of numbers from smallest to largest and subtract the smallest value from the largest value. If you want to know how to quickly calculate the range of a data set, see Step 1 to get started.

Step

Find the Range of a Data Set Step 1
Find the Range of a Data Set Step 1

Step 1. Arrange a set of numbers from smallest to largest

Suppose your data set consists of the following numbers: {7, 8, 65, 8, 4, 7}. All you have to do is rewrite these numbers from smallest to largest to get a deeper understanding of the data you're working with. The arrangement would look like this: {4, 7, 7, 8, 8, 65}.

Find the Range of a Data Set Step 2
Find the Range of a Data Set Step 2

Step 2. Identify the smallest and largest numbers in the data set

In the data set you're working with, the smallest number is 4 and the largest number is 65. These numbers must be at the end (front or back) of the data set because you're rearranging the numbers from smallest to largest.

Find the Range of a Data Set Step 3
Find the Range of a Data Set Step 3

Step 3. Subtract the smallest number from the largest

Now, all you have to do is subtract the smallest number, which is 4, from the largest number, which is 65. 65-4 = 61.

Find the Range of a Data Set Step 4
Find the Range of a Data Set Step 4

Step 4. Write down your reach

"61" represents the range of this particular data set. Your task is done. If you want to find the range of a function, you have to follow a slightly more complicated process. However, that's all you need to do to calculate the range of a data set.

Tips

  • Practice will make this calculation easy.
  • If you don't know if your answer is correct, ask a math teacher or anyone who is very good at math.
  • Use a calculator if needed.

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