# MidRange Calculator

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

## MidRange Calculator

More about the
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MidRange Calculator
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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 \(7.5 \).