Midrange Calculator | Calculating the midrange

Midrange Calculator

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The Midrange Calculator that we present here is an excellent tool for calculating the midrange of a data set. Like most of our calculators, the midrange calculator offers step-by-step explained solutions, which is very useful for those studying the subject of statistics.

To use this calculator, follow these steps:

  1. Enter the data in the text field.
  2. Select the separator you have used to separate the numbers in the data set.
  3. Press the Calculate button, and a window with the step-by-step explained solution will appear

What is a midrange?

The measure of the midrange allows identifying a value that represents the center of a sample. This measure is calculated by the arithmetic mean of the maximum and minimum values in the sample. However, it is important to note that this measure does not necessarily indicate the exact value of the center of the sample, but rather offers a representation of it. The midrange is a measure that is greatly affected by the presence of outliers, as they condition the result of the formula used to calculate it and can make the value obtained not representative of the center of the sample.

How to find the midrange

To find the midrange, you need to add the smallest value in the data set to the largest value in the same data set, and then divide the sum by 2. In mathematical notation, it can be expressed as:

Midrange = Min. value + Max. value2
Midrange formula

For example, let’s say you have the following data set: 2, 5, 8, 11, 14, 17

To find the midrange of this data set, you would first determine the smallest value, which is 2, and the largest value, which is 17. Then, you would add those values together:

2 + 17 = 19

Finally, you would divide the sum by 2:

Midrange = 19 / 2 = 9.5

Therefore, the midrange of this data set is 9.5.

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