Range Formula:
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The range is the simplest measure of statistical dispersion, representing the difference between the largest and smallest values in a dataset. It provides a quick indication of the spread of the data.
The calculator uses the range formula:
Where:
Explanation: The range gives the total spread of the data from the smallest to the largest observation.
Details: Range calculation is fundamental in descriptive statistics as it provides a quick measure of variability. While simple to calculate, it's sensitive to outliers and doesn't provide information about the distribution of values between the extremes.
Tips: Enter the maximum and minimum values from your dataset. Both values must be numerical, and the maximum value must be greater than or equal to the minimum value.
Q1: What are the limitations of using range?
A: Range is highly sensitive to outliers and doesn't describe the distribution of values within the dataset. It only considers the two extreme values.
Q2: When is range most useful?
A: Range is most useful for small datasets without extreme outliers, or when a quick, simple measure of spread is needed.
Q3: How does range compare to other measures of dispersion?
A: Unlike standard deviation or interquartile range, the range doesn't provide information about how data is distributed between the minimum and maximum values.
Q4: Can range be negative?
A: No, range cannot be negative since it represents the difference between maximum and minimum values (max ≥ min).
Q5: What units does range have?
A: Range has the same units as the original data values from which it was calculated.