The Art of Mathematics

Help 3.4

Statistics

1. Function

Statistics window displays the result of statistic calculations for the set of values selected in the Memory window.

Fig. 1. Statistics. Fig. 1. Statistics.

2. Options

Statistics evaluates 6 values:

ValueDescription
1Mean (average)The sum of elements divided by their number: x = ∑xn / N.
2VarianceVar(x1, ... , xN) = ∑(xnx)2 / (N − 1).
3Standard deviationSquare root of Variance: σ(x1, ... , xN) = √Var.
4Average deviationOr mean absolute deviation: ADev(x1, ... , xN) = ∑|xnx| / N.
5SkewnessOr third moment: Skew(x1, ... , xN) = ∑[(xnx) / σ]3 / N.
6KurtosisOr fourth moment: Kurt(x1, ... , xN) = ∑[(xnx) / σ]4 / N − 3.
Table. 1. Statistic estimators.