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HSCalculadora

Midrange Calculator

Find the midrange, the midpoint of the extremes.

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Midrange
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How it works

The midrange is a simple measure of the center of a data set, and this calculator computes it as the average of the highest and lowest values. You enter a list of numbers, and it returns the midrange, which is the minimum plus the maximum divided by two. This gives the exact midpoint between the two extremes of the data. The midrange is one of several measures of central tendency, alongside the mean, median, and mode, but it is unique in depending only on the two most extreme values and ignoring everything in between. This makes it very quick to calculate and useful as a rough estimate of the center, for example the midpoint between the day's high and low temperatures. However, its reliance on just the extremes also makes it highly sensitive to outliers: a single unusually large or small value shifts the midrange substantially, which is why it is less commonly used than the mean or median for describing typical values in skewed or outlier-prone data. The midrange is most meaningful when the data are fairly symmetric and free of extreme outliers. It appears in weather reporting, quality control, and quick estimates. Enter your list of numbers to compute the midrange.

Formula

Midrange = (minimum + maximum) / 2

The midrange is the average of the smallest and largest values in a data set. The calculator finds the minimum and maximum, adds them, and divides by two. It gives the exact midpoint between the two extremes, a simple measure of central tendency based only on the range's endpoints.

Source:Descriptive statistics

We review all our tools from time to time to ensure accuracy.

Worked example

Values:2, 5, 9
(min 2 + max 9) / 2 = 11 / 2 = 5.5.

How to use this calculator

  1. 1

    Enter your values

    Enter values.

  2. 2

    Adjust the options

    Fine-tune any options to match your situation.

  3. 3

    Read your result

    Midrange updates instantly as you type — no button to press.

Frequently asked questions

What is the midrange?

The midrange is the average of the maximum and minimum values in a data set, giving the midpoint between the two extremes. It is a simple measure of central tendency. Because it uses only the highest and lowest values, it is quick to compute but sensitive to outliers, unlike the mean or median.

How do you calculate the midrange?

Add the smallest value and the largest value, then divide by two. For the numbers 2, 5, and 9, the minimum is 2 and the maximum is 9, so the midrange is 11 divided by 2, which is 5.5. The calculator finds the extremes and computes the midrange automatically.

How is the midrange different from the mean?

The mean averages all the values in the data set, while the midrange averages only the two extremes. The mean reflects the entire distribution, whereas the midrange ignores everything except the highest and lowest points. The mean is generally more representative, but the midrange is faster and useful as a quick estimate of center.

Is the midrange affected by outliers?

Very much so. Because the midrange depends entirely on the maximum and minimum, a single extreme outlier at either end dramatically shifts it. This sensitivity is its main weakness, making it unreliable for skewed data or data with outliers, where the median gives a far more robust measure of the center.

When is the midrange used?

The midrange is used for quick estimates of center, such as the average of a day's high and low temperatures, in some quality-control contexts, and in situations where only the extremes are known or a fast approximation suffices. It works best when data are roughly symmetric and free of extreme outliers.