An Introduction to
Statistics with Klong
Basic Statistical Functions
Here is another random data set X consisting of values of 10
with a normally distributed error in the range −10≤x≤10.
X::{rndn(x;2)}'err(20;20;10+&30)
[10.0 7.65 8.24 10.0 10.59
15.88 10.59 5.29 15.88 12.94
11.76 10.0 12.35 5.29 4.71
11.76 0.59 12.94 14.12 17.65
6.47 6.47 8.82 12.94 8.82
10.0 10.0 4.71 5.88 7.06]
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The Klong statistics library offers the usual functions for computing
the
mean
(mu
),
median
(M
),
variance
(var
),
standard deviation
(sd
),
quartiles
(qrt
),
range
(rng
), etc:
mu(X)
9.64666666666666667
M(X)
10.0
var(X)
14.3358088888888882
sd(X)
3.78626582385453863
qrt(X)
[6.47 10.0 12.35]
rng(X)
17.06
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The scatter plot in fig.3 shows the above data set with the mean
(solid line) and standard deviation (dashed lines) added.
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