How to calculate the range

Author: Bobbie Johnson
Date Of Creation: 2 April 2021
Update Date: 1 July 2024
Anonim
Finding the Range | How to Find the Range of a Data Set
Video: Finding the Range | How to Find the Range of a Data Set

Content

In statistics sweep - the difference between the largest and the smallest observation results. A span shows the spread of values ​​in a population of data. If the range is large, then the values ​​in the aggregate are very scattered; if the range is small, then the values ​​collectively lie close to each other. If you want to know how to calculate the swing, follow these steps.

Steps

  1. 1 Record the values ​​of the dataset. To find the range, you need to list all the values ​​to determine the maximum and minimum numbers. For example: 14, 19, 20, 24, 25, 28.
    • It will be easier to determine the largest and smallest values ​​in the aggregate if you write the values ​​in ascending order. In our example: 14, 19, 20, 24, 24, 25, 28.
    • Writing the values ​​in ascending order can also help you make other calculations, such as the mode, mean, or median of a population.
  2. 2 Determine the maximum and minimum numbers. In our example, these are 14 and 28.
  3. 3 Subtract the smallest number from the largest. Now that you have identified the smallest and largest number in the aggregate, you need to subtract them from each other: 25 - 14 = 11 - this is the range.
  4. 4 Highlight the swing. Once you've found scope, highlight it clearly. This will help you avoid confusion with any other statistic such as mean, median, or mode.

Tips

  • The median of a statistical population is the value that divides that population into two equal parts. Thus, the median is not calculated by dividing the range by 2. To find the median, you must list the data values ​​in ascending order and find the value in the middle of the list. This value is the median. For example, if you have a list of 29 values ​​(in ascending order), the fifteenth value will be equidistant from the top and bottom of that list, so the fifteenth value is the median, no matter how that value compares to the range.
  • You can also interpret "swing" in algebraic expressions, but first you must understand the concept of an algebraic function. Since the function can be specified on any number, even unknown, this number is represented as a variable (usually "x"). The domain is the set of all possible values ​​of x. Function range (range) - the set of all possible values ​​of the function (y) at certain values ​​of x. Unfortunately, there is no single way to calculate the range of a function. Sometimes, by plotting a function or calculating several values, you can get a clear pattern.