Statistical

KURT Formula

KURT returns the excess kurtosis of a data set — a measure of whether the data has heavy tails (more extreme values) or light tails compared to a normal distribution. A positive value indicates heavier tails (more outliers), while a negative value indicates lighter tails. Use it in risk analysis and quality control to understand the likelihood of extreme events.

Syntax

KURT(value1, [value2, ...])
ParameterDescription
value1 Parameter of the KURT function.
[value2 (Optional.) Parameter of the KURT function.
...] Parameter of the KURT function.
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Examples

Stock return kurtosis

Formula
=KURT(C2:C253)
Positive kurtosis for stock returns indicates fat tails — extreme gains and losses occur more often than a normal distribution would predict.

Manufacturing quality

Formula
=KURT(B2:B500)
Negative kurtosis means measurements cluster tightly around the mean with few outliers — indicating a well-controlled process.

Normality check

Formula
=ABS(KURT(D2:D1000)) < 1
Returns TRUE if excess kurtosis is near zero, suggesting the data is approximately normally distributed.

Common Errors

#DIV/0!

Fewer than 4 data points. Kurtosis requires at least 4 numeric values.

#VALUE!

Non-numeric direct arguments.

Tips

Excess kurtosis

KURT returns excess kurtosis (normal distribution = 0). Some texts use raw kurtosis where normal = 3. If you need raw kurtosis, add 3 to the result.

Risk management

High positive kurtosis (fat tails) means extreme events are more likely than normal assumptions predict. This is critical in financial risk models — ignoring fat tails led to underestimating risk in the 2008 crisis.

Pair with SKEW

Use SKEW and KURT together to characterize a distribution. Skewness tells you about asymmetry, kurtosis about tail heaviness.

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