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HP HP-20S - Mean, Standard Deviation, and Summation Statistics

HP HP-20S
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Keys
Description
Y
to
Display
()
Standard
deviation
of
Standard
deviation
of
the
x-values.”
the
y-values
if
you
en-
tered
y-data.”
y-value
(]
Estimate
of
X
for
a
Correlation
given value
of
y.
coefficient.t
x-value
(]
Estimate
of
y
for
a
Correlation
given value
of
x.
coefficient.t
()
Slope
(m)
of
the
calcu-
y-intercept
(b)
of
the
lated
line.
calculated
line.
*
The
standard
deviation
is
a
measure
of
how
dispersed
the
numbers
are
about
the
mean.
The
HP-20S
calculates
the
sample
standard
deviation,
which
assumes
the
data
is
a
sam-
pling
of
a
larger,
complete
set
of
data.
If
the
data
constitutes
the
entire
population
of
data,
the
true
population,
refer
to
page
55,
“Calculating
the
Population
Standard
Deviation.”
t
The
correlation
coefficient
is
a
number
in
the
range
—1
through
+1
that
measures
how
closely
the
data
fits
the
calculated
line.
A
value
of
+1
indicates
a
perfect
positive
correla-
tion,
and
—1
indicates
a
perfect
negative
correlation.
A
value
close
to
zero
indicates
the
curve
is
a
poor
fit.
Mean,
Standard
Deviation,
and
Summation
Statistics
You
can
calculate
the
mean,
standard
deviation,
n,
Zx,
and
Zx?
of
x-data.
For
x,y-data,
you
can
also
calculate
the
mean
and
standard
deviation
of
the
y-data
and
Zy,
Zy?,
and
Zxy.
Example:
Calculating
the
Mean,
Standard
Deviation,
and
Root
Mean
Square.
A
yacht
captain
wants
to
determine
how
long
it
takes
to
change
a
sail.
She
randomly
chooses
six
members
of
her
crew,
ob-
serves
them
as
they
carry
out
the
sail
change,
and
records
the
number
of
minutes
required:
4.5,
4,
2,
3.25,
3.5,
3.75.
54
5:
Statistical
Calculations

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