Download TI83 Skills - Blue Valley Schools

Name (LAST, First) ________________, ____________
Date ___ / ___ / ______ Block 1 2 3 4 5 6 7 8
TI-83 Skills: One Dimensional Statistics
Entering the data, 1 dimension, Statistics:
Buttons to press: STAT / EDIT
Notes:
 Enter your data in the appropriate lists. For this I will assume that L1 contains the data to be analyzed.
 To clear a list, DO NOT use the DEL button. Position the cursor on the L1 symbol, press CLEAR, then
press ENTER. The list should be emptied but remain.
Statistics, One Variable
Buttons to press: STAT / CALC / 1: 1-Var Stats / L1 / ENTER
The command you should see on the screen:
1-Var Stats L1
The results should look like this (I have included a definition and description):
Symbol Pronounced
x
x-bar
x
x
Sx
σx
n
minX
Q1
Med
Q3
maxX
sigma x
2
Definition
arithmetic mean
Description
center of the data
summation of all x values
sigma x squared summation of all x2 values
sigma x
minimum x
que one
median
que three
maximum x
standard deviation of a sample
standard deviation of a population
number of x values
minimum x value
1st quartile score
middle score
3rd quartile score
maximum x value
spread
middle value
Laboratory Statistical Calculations
Simple Statistics:
x is the arithmetic mean, a measure of central tendency.
σ is standard deviation, a measure of data spread.
95% Range: Acceptable range within Spread of Data:
95% Range
Upper bound of acceptable values: x + 2 σ
Lower bound of acceptable values: x – 2 σ
 The range within which 95% of the data values lie. The 95% that falls within the range is usually assumed
to be good data. The 5% that falls outside of the range is usually assumed to be in error.
 The correct, or accepted, value has a 95% chance of falling within this range.
There is a 5% chance that the correct value is outside of this range.
Accuracy: Relative Error and Percent Error
Measured = experimentally measured value, either an individual value or the mean of the measured values.
Accepted = value accepted as correct
Relative Error = Measured – Accepted
Percent Error = %e = Relative Error / Accepted * 100
In first-year physics a percent error value between – 5% and +5% inclusive is usually considered to be
acceptable. This indicates data points that are close to the accepted value. A value greater than 5% usually
indicates sloppy lab technique and/or failure to follow instructions. |%e| ≤ 5% implies accurate measurement(s).
Precision: Percent Sigma
Percent Sigma = %σ =

x
x 100
In first-year physics a percent sigma value less than or equal to 5% is usually considered to be acceptable. This
indicates data points that are grouped close to each other. |%σ| ≤ 5% implies precise measurements.
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Name (LAST, First) ________________, ____________
Date ___ / ___ / ______ Block 1 2 3 4 5 6 7 8
TI-83 Skills: Curve Fitting [Two Dimensional Stats]
Entering the data, 2 dimensions, Statistics:
Buttons to press: STAT / EDIT
Notes:
 Enter your data in the appropriate lists. For this I will assume that L1 contains the independent (x,
horizontal) variable and L2 contains the dependent (y, vertical) data.
 To clear a list, DO NOT use the DEL button. Position the cursor on the L1 symbol, press CLEAR, then
press ENTER. The list should be emptied but remain.
Curve Fit Statistics: To turn on (only need to do once)
Buttons to press: CATALOG / DiagnosticOn / ENTER / ENTER
Curve Fitting
Buttons to press: STAT / CALC / [type of curve to fit] / L1, L2, [VARS / Y-VARS / Function / Y1] / ENTER
Notes:
 The order of arguments is always x, y.
 By placing Y1 as the third argument, you cause the curve fit equation to be placed in Y1 so as to be
graphed.
Plotting: Looking at the data
Buttons to press: STAT PLOT / Plot 1 / On, Type: points, X List: L1, Y List: L2, Mark: □ /
ZOOM / ZOOM STAT / GRAPH
Examples
Two Dimensions, Linear
Data Set
1
2
3
Horizontal Coordinate
-1
-2
-3
Vertical Coordinate
-4
-1
2
4: LinReg
y = ax + b
a = -3
b = -7
r2 = 1
r=1
Note: In a linear fit, r is the correlation coefficient and ranges from -1 to 1, with ±1 indicating a perfect linear fit.
Be sure to set up the StatPlot and examine how the line fills the empty boxes.
One Dimensional Stats: Use L3
Measured: 5, 6, 3, 5, 7
Accepted: 5.5
Stats:
x = 5.2
σ x = 1.33
95% Range: (2.55, 7.85)
Percent Error : - 5.45 %
Percent Sigma: 25.5 %
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