Casio fx-82MS

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Casio fx-82MS and fx-100AU
To enter some scores: 10, 12, 13, 16
MODE 2
to put the calculator into statistics mode – a small SD
will appear on the display
SHIFT CLR 1 = AC
(the CLR shares with the mode key.) This will clear the
statistics memory. Do this every time you enter scores,
or rectify a mistake in entry.
10 M+ 12 M+ 13 M+ 16 M+
this has entered the four scores
the number of scores (n) is 4 – this is displayed while entering
Calculator
symbol
mean
Sample standard
deviation
Population standard
deviation
Sample variance
Scores added up
Scores squared then
added up
Common
symbol
steps
answer
x
xn  1
x or 
s
SHIFT 2 1 =
SHIFT 2 3 =
12.75
2.5
xn

SHIFT 2 2 =
2.165
s2
SHIFT 2 3 = x =
SHIFT 1 2 =
6.25
51
SHIFT 1 1 =
669
x
x
2
x
x
2
2
By using the shift key you are accessing the S-VAR key for the mean and standard
deviations and the S-SUM key for the sums of the scores.
To enter lots of some scores:
score
10
12
13
16
frequency
12
5
9
7
SHIFT CLR
10 SHIFT
12 SHIFT
13 SHIFT
16 SHIFT
1 = AC
, 12 M+
, 5 M+
, 9 M+
, 7 M+
(the comma (,) key is next to the M+ key)
By using the shift key you are accessing the semi colon which is used to separate the
score from its frequency.
(the total number of scores (n) entered is 33)
Once the scores are entered find the mean and standard deviation as above
If the scores are a sample
x  12.394
s  2.263
s 2  5.121
 x  409
x
2
 5233
If the scores are a population
  12.394
  2.228
 2  4.966
 x  409
x
2
 5233
To enter grouped data:
group
> 0 up to and including 10
>10 up to and including 20
>20 up to and including 30
>30 up to and including 40
frequency
25
33
21
30
You need to use the midpoint of each group and the frequency:
(0+10)/2=5
(10+20)/2=15
(20+30)/2=25
(30+40)/2=35
SHIFT CLR
5 SHIFT ,
15 SHIFT ,
25 SHIFT ,
35 SHIFT ,
1 = AC
25 M+
33 M+
21 M+
30 M+
(n = 109)
If the scores are a sample
Approximate: x  20.138
Approximate: s  11.272
Approximate: s 2  127.064
If the scores are a population
Approximate:   20.138
Approximate:   11.220
Approximate:  2  125.898
The mean and standard deviation are only approximate because we are using each
class centre to approximate the individual scores in each group.
The Linear Regression functions
To enter an x and y data set
x score (independent variable)
5
8
6
7
10
MODE 3 1
SHIFT CLR 1 = AC
5 , 20 M+
8 , 18 M+
6 , 22 M+
7 , 28 M+
10 , 27 M+
y score (dependent variable)
20
18
22
28
27
a small reg will appear on the display
The comma is used to separate an x score from a y score, whereas the semi colon is
used to separate a score from its frequency.
SHIFT 2 and the right replay arrow twice 1
the regression line
A = 16.189
= this will give A – the y-intercept of
SHIFT 2 and the right replay arrow twice 2 = this will give B – the slope of the
regression line
B = 0.946
SHIFT 2 and the right replay arrow twice 3 =
coefficient
r = 0.417
this will give r – the correlation
The means and sums are found by using the S-VAR and S-SUM keys and the right
replay arrow key.
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