Explain How To Find The Range Of A Data Set

How to Observe the Range of a Data Prepare | Formula & Examples

Published on September 11, 2020 past Pritha Bhandari. Revised on September 25, 2020.

In statistics, the range is the spread of your data from the everyman to the highest value in the distribution. It is a commonly used measure of variability.

Along with measures of central tendency, measures of variability give you lot descriptive statistics for summarizing your data set up.

The range is calculated by subtracting the lowest value from the highest value. While a large range means high variability, a small-scale range means low variability in a distribution.

Calculate the range

The formula to calculate the range is:

• R = range
• H = highest value
• L = everyman value

The range is the easiest measure of variability to calculate. To find the range, follow these steps:

1. Order all values in your information ready from low to loftier.
2. Subtract the everyman value from the highest value.

This procedure is the aforementioned regardless of whether your values are positive or negative, or whole numbers or fractions.

Range example

Your data gear up is the ages of 8 participants.

Participant	1	2	three	4	v	6	seven	8
Historic period	37	xix	31	29	21	26	33	36

First, order the values from low to high to place the lowest value (50) and thehighest value (H).

Historic period	19	21	26	29	31	33	36	37

Then subtract the lowest from the highest value.

R = H – L

R = 37 – 19 = 18

The range of our data set up is eighteen years.

How useful is the range?

The range generally gives you a skillful indicator of variability when yous have a distribution without farthermost values. When paired with measures of primal tendency, the range can tell y'all about the span of the distribution.

But the range tin exist misleading when you accept outliers in your data prepare. 1 farthermost value in the information will give you a completely different range.

Range example with an outlier

One value in your data set is replaced with an outlier.

Historic period	xix	21	26	29	31	33	36	61

Using the same calculation, we go a very different result this time:

R = H – L

R = 61 – xix = 42

With an outlier, our range is now 42 years.

In the example above, the range indicates much more variability in the data than at that place really is. Although nosotros have a large range, most values are actually clustered around a clear center.

Considering only 2 numbers are used, the range is hands influenced by outliers. It tin't tell you about the shape of the distribution of values on its own.

To get a articulate idea of your data's variability, the range is best used in combination with other measures of variability similar interquartile range and standard deviation.

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Source: https://www.scribbr.com/statistics/range/

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