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Appendix A: Functions and Instructions 893
variance() MATH/Statistics menu
variance(
list
[
, freqlist
]) ⇒
⇒⇒
⇒
expression
Returns the variance of
list
.
Each
freqlist
element counts the number of
consecutive occurrences of the corresponding
element in
list
.
Note:
list
must contain at least two elements.
variance({a,b,c}) ¸
a
ñ -aø(b+c)+bñ-bøc+cñ
3
variance({1,2,5,
ë 6,3,ë2}) ¸
31/2
variance({1,3,5},{4,6,2})
¸
68/33
variance(
matrix1
[
, freqmatrix
]) ⇒
matrix
Returns a row vector containing the variance of
each column in
matrix1
.
Each
freqmatrix
element counts the number of
consecutive occurrences of the corresponding
element in
matrix1
.
Note:
matrix1
must contain at least two rows.
variance([1,2,5;ë 3,0,1;
.5,.7,3])
¸ [4.75 1.03 4]
variance([
L1.1,2.2;3.4,5.1;
L2.3,4.3],[6,3;2,4;5,1]) ¸
[3.91731,2.08411]
when() CATALOG
when(
condition
,
trueResult
[,
falseResult
]
[,
unknownResult
]) ⇒
⇒⇒
⇒
expression
Returns
trueResult
,
falseResult
, or
unknownResult
,
depending on whether
condition
is true, false, or
unknown. Returns the input if there are too few
arguments to specify the appropriate result.
Omit both
falseResult
and
unknownResult
to make
an expression defined only in the region where
condition
is true.
when(x<0,x+3)|x=5 ¸
when(x<0,3+x)
Use an undef
falseResult
to define an expression
that graphs only on an interval.
ClrGraph ¸
Graph when(x
‚ëp and x<0,x+3,undef)
¸
Omit only the
unknownResult
to define a two-piece
expression.
Graph when(x<0,x+3,5ì x^2) ¸
Nest when() to define expressions that have
more than two pieces.
"
ClrGraph
¸
Done
Graph when(x<0,when(x<
ëp,
4
ù sin(x),2x+3),5ìx^2) ¸