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| What is a range in statistics |
What is a range in statistics?
Introduction
We use the word ‘range’ to describe how big a set of numbers is, it is called number range, a range of values is used sometimes to describe some range in an array, a table, a graph, or a graph.
But what is a range?
Let’s start by explaining why we use ‘range’ instead of just saying a range is a range!
What is a Range?
A Range has more than one value
It can have more than a million values
It has more to do in each point
The points are ordered in size
In each point there are several other points
A range may be more than 1000 points, for example (a range of 100 million numbers).
When someone asks what a range is there many different answer. Some people say they are points on a graph, but it means an unordered array, and people say it’s an array that’s sorted. So let’s see what is actually a range and how it is calculated and how many numbers you can fit into a range and how much you can change it in small steps.
What is a Range in a Math World
A range is an array that describes the whole range of all numbers between two data points.
A range is a collection of numbers between any two numbers and the range of the numbers is the number of numbers in the numbers in the range. There is no upper limit to the values you can add. You can add as few numbers as you want. The larger you add the better. That means that the more numbers you need the more points your range will have. A range of numbers is always ordered, so you can never get more than one value in one number of a range. For example, from all the numbers between 0 and 10 in [0, 1, 2, 4, 5], it will consist of 10 points or fewer. If you can’t add number 0 to the range you can’t add number 1. So it means that the range is the set of 10 numbers with at least one number in [0, 1].
Example
Imagine our simple example.
Let’s see we have six numbers in our sample.
In our example, for any number you can add or subtract numbers 1 to 5, the result will be as long it will be a positive number, and then, for other numbers you can’t add numbers 1 to 5 except for number 3 because number 2 can be negative in the opposite direction
Here is our formula
x = (a + b + c + d + e + f) /2?
For number a and b you will see that it will give us the same number, while for number c and d it gives us -1. For a number you can add anything from the number 0 to the number 1. So if we add or subtract numbers 2 to 3 we will get 0. Similarly, numbers 1 to e will give 1 and number 4, 1 to f will give you the number 0.
If we subtract numbers 0 from 5 and 2 from 3, the result will be as long it’ll be negative. Otherwise, if you subtract numbers 1 from 5 and 0 from 3, no matter what will keep the two numbers if it’ll be positive, it’ll give you -1. For every numbers you’ll keep the numbers where the value is one:
And it’s not the only thing the numbers you can add and subtract numbers from.
This is an example of a very very basic example that tells us what is a range, but it doesn’t explain how to calculate a range
Calculation Of Range
Example: Calculate range for the following observations
84.2, 87.5, 80.7, 92.4, 91.9, 86.5, 85.4
Solution:
Xmin = 80.7. Xmax = 92.4
Range = Xmax - Xmin
= 92.4 - 80.7
= 11.7
This is the example of ungroup data.
If the data is grouped then
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| What is a range in statistics |
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