KURT (kurtosis)

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KURT (kurtosis)

Syntax:

KURT(Number1, Number2, Number3, Number4 [, Number5 ...])

or

KURT(Range1 [, Range2, Range3 ...])

Description:

This returns the kurtosis of a probability distribution.

The kurtosis is a measure of the "peakedness" of a distribution compared to a normal distribution.

For a steeper curved ("narrow-peaked") distribution, the kurtosis is a positive value, while for a flatter curved ("broad-peaked") distribution, it is a negative value.

If the kurtosis approaches zero, the distribution has a good approximation to a normal distribution (see NORM.DIST/NORMDIST function).

Number1, Number2, Number3, etc., are the values to be evaluated. Empty cells, text and logical values are ignored.

At least four values have to be specified; otherwise, the function returns a #DIV/0! error value (division by zero).

Note:

This function does not accept value pairs (x value and y value) as arguments, but only the values of the distribution. If the same values appear multiple times, they must be repeated in the argument list accordingly (see example).

Example:

You measured the height of several test persons and obtained the following results: 1 x 1.60m, 2 x 1.65m, 4 x 1.70m, 2 x 1.75m and 1x1.80m.

To calculate the kurtosis of this distribution, the following formula can be used:

KURT(1.60, 1.65, 1.65, 1.70, 1.70, 1.70, 1.70, 1.75, 1.75, 1.80) returns 0.08036.

See also:

SKEW, NORM.DIST/NORMDIST