Download MathNotes

MathNotes
MAT 102 – General Education Mathematics
G. H. Krader, Instructor
1-Variable and 2-Variable Statistics on Your Calculator
1-Variable Statistics: Find the mean and standard deviation of the following exam scores:
63
67
74
TI-30 Series Calculator
Clear any data that you had entered previously.
1. Press [2nd][STAT] and use the arrow key
to select CLRDATA.
Enter the data points.
2. Press [2nd][STAT]. Select 1-VAR and press
[ENTER].
3. Press [DATA].
4. The display will show X1=. Enter the first
value, 63.
5. Press
6. The display will show FRQ=1. This means
that the value “63” occurs only once. If there
were three occurrences of 63, you could enter
FRQ=3 instead of entering 63 three times.
7. Press
8. Enter the remaining data points by repeating
Steps 4, 5 and 6.
9. After you enter the last data point (X6=90)
and its frequency (FRQ=1), the display will
ask you for X7. Because there are no more
data points, press
twice. Now the display
will show the first data point, X1=63.
Compute the statistics.
10. Press [STATVAR].
11. Use the arrow keys to select the statistic you
want to display. Choices that we will be
using are:
n = No. of data points entered.
x = Mean of the data points.
Sx = Sample standard deviation. (Use this
standard deviation when the data points
come from a sample).
 x = Population standard deviation. (Use
this standard deviation when the data
points come from a population).
[email protected]
76
84
90
TI-83 or 84 Series Graphing Calculator
Enter the data points as one of 6 lists. We will use
L1 in this example.
1. Press [STAT].
2. In the EDIT menu, highlight 1:Edit and press
[ENTER].
3. Move the cursor to L1. Highlight the list
name (L1) at the top of the screen. If the list
is not empty, press [CLEAR] [ENTER] to
clear the list.
4. Move the cursor down to the first entry in the
list. Enter the first value, 63, then press
[ENTER].
5. Enter the remaining data points as in Step 4.
Compute the statistics.
6. After all the data points have been entered,
press [STAT].
7. Use the cursor to display the CALC menu,
then highlight 1:1-Var Stats and press
[ENTER] twice.
8. The display will show statistics that include
the following (you will need to use the
key
to show the entire display).
x = Mean of the data points.
Sx = Sample standard deviation. (Use this
standard deviation when the data points
come from a sample).
 x = Population standard deviation. (Use
this standard deviation when the data
points come from a population).
n = No. of data points entered.
min X = Minimum value.
Q1 = First quartile.
Med = Median.
Q3 = Third quartile.
max X = Maximum value.
kradermath.jimdo.com
Iss 1.0
Math Notes
MAT 102 – General Education Mathematics
G. H. Krader, Instructor
1-Variable and 2-Variable Statistics
on Your Calculator
Page 2
2-Variable Statistics: Find the linear correlation coefficient and the line of best fit for the following data
points:
(0,10)
(8,15)
(14,17)
TI-30 Series Calculator
Clear any data that you had entered previously.
1. Press [2nd][STAT] and use the arrow key
to select CLRDATA.
Enter the data points.
2. Press [2nd][STAT]. Select 2-VAR and press
[ENTER].
3. Press [DATA].
4. The display will show X1=. Enter the first X
value, 0.
5. Press
6. The display will show Y1=1. Enter the first
Y value, 10, in place of the default value 1.
7. Press
8. Enter the remaining X and Y values by
repeating Steps 4 through 7.
9. After you enter the last Y value (Y5=30), the
display will ask you for X6. Because there
are no more data points, press
twice. Now
the display will show the first data point,
X1=0.
Compute the statistics.
10. Press [STATVAR].
11. Use the arrow keys to select the statistic you
want to display. Choices needed to find the
line of best fit are:
a = Slope of the line of best fit.
b = Y-intercept of the line of best fit.
r = Linear correlation coefficient.
NOTE: Pressing [2nd][EXIT STAT][ENTER] will
clear all data points and exit the STAT mode.
NOTE: If you have a TI-30 series calculator, you
may watch a tutorial on 1-Variable statistics at the
following web site (Click on Tutorial No. 11):
(18,25)
(25,30)
TI-83 or 84 Series Graphing Calculator
Enter the data points as two lists – one list for the Xvalues and one list for the Y-values. In this
example, we will use L1 for the X-values and L2 for
the Y-values.
1. Press [STAT].
2. In the EDIT menu, highlight 1:Edit and press
[ENTER].
3. Move the cursor to L1. Highlight the list
name (L1) at the top of the screen. If the list
is not empty, press [CLEAR] [ENTER] to
clear the list.
4. Move the cursor down to the first entry in the
list. Enter the first value, 0, then press
[ENTER].
5. Enter the remaining X-values as in Step 4.
6. Move the cursor to L2. Clear out L2, and
enter the Y-values as in Steps 3 through 5.
Compute the statistics.
7. After all the data points have been entered,
press [STAT].
8. Use the cursor to display the CALC menu,
then highlight 4:LinReg(ax+b) and press
[ENTER] twice.
9. The display will show:
a = Slope of the line of best fit.
b = Y-intercept of the line of best fit.
r = Linear correlation coefficient.
If r did not display, you must do the following
ONE TIME ONLY:
10. Press [2nd][CATALOG]
11. Press the
key (the key with a green “D”)
to move the cursor to the D’s.
12. Use the cursor to find DiagnosticOn.
13. Press [ENTER] twice.
14. Go back to Step 7.
NOTE: You may obtain additional statistics, such as
the means of the X and Y values, by selecting
2:2-Var Stats on the CALC menu.
http://movies.atomiclearning.com/k12/ti30xs/
© 2008 Geoffrey H. Krader
[email protected]
kradermath.jimdo.com
Iss 1.0