Chapter 7: Statistics Application
136
7-3
Performing Basic Statistical Calculations
Mean, standard deviation, and other statistical values can be obtained from single-variable data and paired-
variable data. Regression calculation can also be performed on paired-variable data. All of these calculations
are performed using [Calc] menu commands.
Calculating Statistical Values
You can use the procedure below to display a lists of various single-variable and paired-variable statistical
values.
u
To display single-variable calculation results
1. On the Stat Editor window or Stat Graph window, tap [Calc] - [One-Variable].
2. On the dialog box that appears, specify the [XList] name, select the [Freq] setting, and then tap [OK].
• This displays the dialog box with the single-variable statistical calculation results described below.
o
: sample
mean
Σ
x
:
sum of data
Σ
x
2
: sum of squares
σ
x
:
population standard deviation
s
x
:
sample standard deviation
n
: sample
size
minX: minimum
Q
1
: first
quartile
Med: median
Q
3
: third
quartile
maxX: maximum
Mode: mode*
ModeN: number of data mode
items
ModeF: data mode frequency
* If “Mode =
'
ModeStat” is displayed, it means that solutions are stored in the “ModeStat” system variable.
To view the “ModeStat” contents, tap any list name cell on the Stat Editor window, input “ModeStat”, and
then press
E
.
Calculation Methods for Q
1
and Q
3
Q
1
and Q
3
can be calculated in accordance with the [Q
1
, Q
3
on Data] setting on the Basic Format dialog box
(page 34) as described below.
[Q
1
, Q
3
on Data] unchecked (default):
With this calculation method, processing depends on whether the
number of elements
n
in the population is an even number or odd number.
Example:
n
= 8
Example:
n
= 9
Lower half group
Upper half group
Lower half group
Upper half group
2
4
+
5
Median
Q
1
Q
3
2
2
+
3
2
6
+
7
1
2
3
4
5
6
7
8
Median
1
2
3
4
5
6
7
8
9
Q
3
2
7
+
8
Q
1
2
2
+
3
When
n
is an even number, using the center point of the total population as the reference, the population
elements are divided into two groups: a lower half group and an upper half group. Q
1
and Q
3
then become
the values described below.
Q
1
= {median of the group of
n
/2 items from the bottom of the population}
Q
3
= {median of the group of
n
/2 items from the top of the population}
