# MidRange Calculator

Instructions: Enter the sample data below and the solver will provide step-by-step calculation of the Mid-Range, using the form below;

X values (comma or space separated) =
Name of the random variable (Optional)

## MidRange Calculator

More about the MidRange Calculator so you can better understand the results provided by this calculator.

### How do you calculate the midrange?

For a sample of data, the midrange, which is computed as the average of the minimum and maximum values of the sample, corresponds to a measure of central tendency that can be used sometimes.

Mathematically, we get that the midrange is computed using the following formula:

$\text{MidRange} = \displaystyle \frac{\min + \max}{2}$

### Possible uses of the midrange

• When the sample mean is not known, you can use the midrange as a rough measure of central tendency
• It is less commonly reported as a descriptive statistic, but it can give you an idea of the midpoint of where the data is located
• Sometimes, the midrange will be very close to the mean and the median

### Is midrange the same as median?

Not necessarily. For certain specific datasets they could potentially coincide, but there are different descriptive statistics. They both attempt to measure central tendency.

### Descriptive Statistics Calculators

If you need a summary of all descriptive statistics, including measures of central tendency and deviation, please check our step-by-step descriptive statistics calculator :

On the other hand, if you may want a quick calculation of the mean and standard deviation, as the main summary measures, especially when the data does not have outliers nor is strongly skewed.

### Example of Midrange calculation

Question: Supposed that you have the following sample dataset: 3, 1, 1, 2, 3, 4, 5, 6, 14, 13, 4, 6, 9, 10. Compute the midrange.

Solution:

These are the sample data that have been provided:

 $$X$$ 3 1 1 2 3 4 5 6 14 13 4 6 9 10

Based on the data above, the minimum value of the sample is $$\min = 1$$, and the maximum value of the sample is $$\max = 14$$.

Therefore, the midrange is computed, by definition, as follows:

$\begin{array}{ccl} \text{MidRange} & = & \displaystyle \frac{(\min + \max)}{2} \\\\ \\\\ & = & \displaystyle \frac{(1 + 14)}{2} \\\\ \\\\ & = & 7.5 \end{array}$

Therefore, based on the data provided, the midrange is $$7.5$$.