*43*

TheÂ **midrangeÂ **of a dataset is calculated as:

Midrange = (largest value + smallest value) / 2

This value is simply the average of the largest and smallest values in the dataset and it gives us an idea of where the center of a dataset is located.

This tutorial explains how to calculate the midrange of a dataset in Excel.

**Example: Calculating the Midrange in Excel**

Suppose we have the following dataset in Excel:

To calculate the midrange, we can use one simple formula:

**=(MAX(range of values) + MIN(range of values)) / 2**

Column D shows the midrange of our dataset and column E shows the formula we used to calculate it:

The midrange for this dataset isÂ **24.5**.

**The Drawback of Using the Midrange**

The drawback of using the midrange is the fact that it can be easily influenced by outliers. If the minimum value of a dataset is unusually small or if the maximum value is unusually large, this can have a huge impact on the calculation of the midrange.

For example, consider if the maximum value in our dataset was 120. The midrange would then be equal to 66:

Recall that the midrange is supposed to give us an idea of where the center of a dataset is located. In this scenario, though, since the maximum value is an outlier it causes the midrange to be 66, which isnâ€™t close to the center of our dataset at all.

**Alternatives to the Midrange**

In practice, theÂ midrange is rarely used as a way to calculate the center of a dataset simply because there are better measurements available that are more robust to outliers. In particular, the following two metrics tend to be more accurate measures of center:

**Mean:Â **The average value in a dataset.

**Median:Â **The median value in a dataset.Â

The following image shows the formulas we can use to calculate both the mean and the median of the dataset:

Notice that the mean is only slightly affected by the outlier while the median is not affected at all.