Te Puna Ako Learning Centre
Casio fx-82TL – mean, standard deviation, regression
Mean and Standard Deviation
1. Turn calculator on! [AC/ON]
2. Put into statistical mode [MODE] [2]
3. Clear the statistical memory [SHIFT] [AC/ON] [=]
(do this each time you have a new data set to work with – very important!)
4. To enter data key in each piece of data then press [M+]
For example, to enter (18, 23, 20, 21, 24, 23, 21, 21, 15, 19, 24)
18 [M+] 23 [M+] 20 [M+] 21 [M+] 24 [M+] 23 [M+] 21 [M+] 21 [M+] 15 [M+] 19 [M+]
24 [M+]
5. To find n (the number of pieces of data): [RCL] [hyp]
(11)
6. To find the mean ( x ): [SHIFT] [1] [=]
(20.82 (2dp)
7. To find the standard deviation:
[SHIFT] [2] [=] (σ) if the data is from a population
[SHIFT] [3] [=] (s or σ n1 )if the data is from a sample
(2.62 (2dp))
(2.75 (2dp))
8. To enter grouped data: key in each piece of data then press [SHIFT] [,] i.e. the ;
then frequency [M+]
([,] is on the left of [M+])
For example (from a sample of 43)
Frequency Table for the number of faults in a component
Number of Faults
Frequency
0
28
1
11
2
4
0 [SHIFT] [,] 28[ M+]
1 [SHIFT] [,] 11 [M+]
2 [SHIFT][ ,] 4 [M+]
For this data, n = 43, mean ( x ) = 0.44, sample standard deviation (s or σ n1 ) = 0.67
Unitec: D:\308872093.doc
Correlation / Linear Regression
1. Turn calculator on! [AC/ON]
2. Put into Regression Mode [MODE][3]
3. Choose linear regression [1]
4. Clear the statistical memory [SHIFT][AC/ON] [=]
(do this each time you have a new data set to work with – very important!)
5. To enter data, key in x variable [,] y variable [M+]
([,] is on the left of [M+])
For example, to enter data in this table
x variable
5
8
12
y variable
100
118
124
5 [,]100 [M+] 8 [,] 118 [M+] 12 [,] 124 [M+]
6. To find r (the correlation co-efficient): [SHIFT] [(] [=]
(r is above the left bracket)
7. To find r² (the co-efficient of determination) square r
8. To find the linear regression equation y = bx + a
[SHIFT] [7] [=] for a
[SHIFT] [8] [=] for b
9. To predict y from your regression equation: ŷ
Key in x value and then [SHIFT] [-]
Unitec: D:\308872093.doc
(0.93)
(0.87)
(86.3)
(3.3)
(If x = 9, y = 116.2)