Statistics Definitions > Midrange

## What is the Midrange?

The midrange is a type of average, or mean. For example, “midrange” electronic gadgets are in the middle-price bracket: not cheap, but not expensive, either.

The formula to find the midrange = (high + low) / 2.

**Example problem:** Current cell phone prices in a mobile phone store range from $40 (the cheapest) to $550 (the most expensive). Find the midrange.

- Step 1: Add the lowest value to the highest: $550 + $40 = $590.
- Step 2: Divide Step 1 by two: $590 / 2 = $295.

The mid priced phones would be priced at around $295.

## Difference Between a Midrange and a Range.

The range is a measure of spread. In the cell phone example, the range would be: $550 – $40 = $510. The range can also mean the *entire *spread of numbers—for example, it could be written as $40 to $550. The mid-range takes it a step further and divides the range by two to find a type of average.

## Difference Between a Midrange and the Interquartile Range.

Don’t confuse the midrange with the interquartile range (IQR), sometimes called the “middle fifty“. They actually mean very different things. The mid-range is a type of mean, while the interquartile range is talking about a chunk of data in the middle of a data set.

For example, when the weather service reports that a “mean daily temperature” is 77 degrees, they are talking about the mid-range. They got that number by taking the sum of the high daily temperature and the low daily temperature and dividing by 2. Let’s say the recorded daily temperatures were:

55, 65, 67, 69, 70, 80, 81, 87, 90

High = 90

Low = 55

Mid = (90 + 55) / 2 = 154 / 2 = 77.

The IQR for this data set is the 25th percentile subtracted from the 75th percentile:

25th Percentile: 66

75th Percentile: 84

Interquartile Range: 84 – 66 = 18

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