2 - Library

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To use your calculator for calculating statistics, you must become
familiar with the process of changing into and out of the required
mode
For basic statistics using
CASIO fx-MS
CASIO fx-Tl
CASIO fx-W
CASIO fx-100S
MODE
2
When you are successfully in statistics mode, a
symbol sd should appear at the top of your screen.
For basic statistics using
MODE
MODE
CASIO fx-570W
1
When you are successfully in statistics mode, a
symbol sd should appear at the top of your screen.
For basic statistics using SHARP Advanced D.H.L.
calculator
2nd F
DRG
1
When you are successfully in statistics mode, a
symbol Stat x should appear at the top of your screen.
BEFORE ENTERING ANY DATA
It is important that you are not carrying any previously entered data into the next
calculation, so make sure that your memory is cleared. THE FIRST OPERATION
YOU DO WHENEVER YOU START TO PROCESS ANY DATA IS TO CLEAR ANY
EXISTING DATA.
THIS DOES NOT HAPPEN SIMPLY BY TURNING THE CALCULATOR OFF!!!
Casiofx-82TL
Casiofx-82MS
Casiofx-100S
fx-82W
fx-570W
SHIFT
AC
=
SHIFT
or
MODE
MODE
1
=
SHIFT
C
2
Sharp Advanced DHL
CA
2nd F
DEL
2nd F
DRG
or
1
To check the number of entries:
Casiofx-82TL
Casiofx-82MS
Casiofx-100S
fx-82W
fx-570W
RCL
C
SHIFT
1
3
=
You can also use the
“up/down” replay arrows to
check and change entries.
Sharp Advanced DHL
RCL
0
RCL
3
Entering the data
Data may be entered as individual scores,
or in multiples of each score.
To enter the data individually :
M+
x value
or value of the score
This is referred
to as the DATA
ENTRY key.
Enter the following data
250
208
300
225
225
210
210
250
275
275
202
225
290
210
320
When you have entered them all, check that the number
of entries is correct ie n  15
And now the statistics and their respective symbols
Sample
symbol
Population
symbol
Size
n
N
Mean
x

Standard
deviation
s

Variance
s2
Calculator
symbol
n
x n for population
x n1 for sample
2
These symbols are
different on the
Sharp calculator
To understand the meaning of these statistics,
refer to other resources
To find them on your Casio fx-82MS calculator:
for
symbol
Sample size
n
use
SHIFT
S-SUM
1
Mean
x
SHIFT
x n
SHIFT
Sample Standard
Deviation
x n1
SHIFT
=
1
=
S-VAR
2
Population Standard
Deviation
3
S-VAR
2
2
=
3
=
S-VAR
2
To calculate the variance, get the s.d. and then use:
x2
=
To find them on the Casio fx-82TL and 570W calculators:
for
symbol
Sample size
n
Mean
Population Standard
Deviation
Sample Standard
Deviation
use
RCL
x
x n
x n1
C
SHIFT
1
=
2
=
SHIFT
SHIFT
=
3
To calculate the variance, get the s.d. and then use:
x2
=
To find them on your Casio fx-82W calculator:
for
symbol
Sample size
n
use
RCL
Mean
3
=
1
=
2
=
SHIFT
x
Population Standard
Deviation
x n
Sample Standard
Deviation
x n1
SHIFT
SHIFT
=
3
To calculate the variance, get the s.d. and then use:
x2
=
To find them on your Sharp DHL calculator:
for
symbol
n
Sample size
Mean
use
RCL
0
x
RCL
4
Population Standard
Deviation
x
RCL
6
Sample Standard
Deviation
sx
RCL
5
To calculate the variance, get the s.d. and then use:
x2
=
To find them on your Casio fx-100S calculator:
for
symbol
Sample size
n
Mean
use
RCL
3
x
RCL
1
Population Standard
Deviation
x n
RCL
2
Sample Standard
Deviation
x n1
RCL
3
To calculate the variance, get the s.d. and then use:
x2
=
Using the data you have already entered, find the mean,
standard deviations and variances for both population
and sample
Recall n  15
mean
245
Population sd
37.07
Sample sd
38.38
Population variance
1374.53
Sample variance
1472.7
All correct? Great work.
If you have not the correct answers, then you will have to re-enter
Your data – after CLEARING the previous entries. If you have a
Casio fx-82MS, you can check your data entries and correct them.
Try this example:
32.10,
12.10,
n  11
-45.00,
18.00,
66.00, 2.53, -8.10,
21.00, -31.00, 2.10
mean
1.68
Population sd
32.97
Sample sd
34.58
Population variance
1086.89
Sample variance
1195.58
-51.25,
If you do not have these answers, first check how you
entered the negative values.
You must use the +/- or (-) key for negative values –
NOT the operation “minus” key.
To enter multiple or
grouped data
• Enter six 2’s on your calculator
• What if you had to enter 20, 50, …?
• Now try:
Casio fx 82 MS, TL and W and 570W:
x-value
2
Casio 100S
SHIFT
’
f
M+
x-value
×
f
M+
SHIFT
’
6
M+
2
×
6
M+
Sharp D.H.L
x-value
2nd F
STO
f
M+
2
2nd F
STO
6
M+
PRACTISE
x
f
2
11
3
12
4
16
5
15
6
20
7
17
8
17
9
12
Casio fx 82 MS, TL and W and 570W:
x-value
SHIFT
’
f
M+
Casio 100S
x-value
×
f
M+
Sharp D.H.L
x-value
2nd F
STO
f
M+
n  120, x  5.66,   2.127, s  2.135  2  4.52 and s 2  4.56
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