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TI-89 #1
Median, Quartiles, Mean, Standard Deviation, Box Plot, Histogram, and
Probability Plot
Problem: Given the data: 34, 36, 42, 35, 54, 54, 40, 47, 44, 43, 21, 37.
a. Find the median, quartiles, maximum, minimum, mean, and standard deviation.
Key Strokes
Apps
Comment
Brings up Application
Menu.
1
Selects Flash
Applications
Menu. Highlight
the Stats/List
Editor.
Enter
Enters the
Statistics Menu
34 Enter 36 Enter … 37 Enter
Enters the data into
list1
F4
Brings up the Calc
menu.
1
Brings up the 1Variable Statistics
menu. Use the alpha
keys to type in
“list1”. Enter 1 for
“Freq”
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Displays the results
we want. Note that
the standard
deviation we use, the
one with (n-1) in the
demonimator is Sx =
9.11. Use the down arrow to scroll down to the
median, Q3x, and Max.
Enter Enter
b. Make a Box Plot of the data.
Key Strokes
ESC
F2
Comment
Returns to he Statistics menu
Selects the Plot
menu.
1
Selects the Plot
Setup Menu
F1
Selects Define Plot
Option for Plot 1.
Use the right arrow
key to select “Box
Plot” for Plot type.
We will paste in list1
from the Variables Menu
Scroll down and
highlight list1
2nd VAR-LINK ▼…
ENTER
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Enter F5
Returns to the Plot set up and Selects the proper
window for
displaying the
boxplot. Press F3
“Trace” to display
the values at the
vertical lines. Move
between the line using the side arrows.
c. Make a histogram of the data.
APPS 1 Enter
F2 1
F1
► 4 Enter
Bring up the Statistics Menu
Displays Plot Setup Menu
Brings up Plot 1
Selects Histogram.
Notice the bucket width
is set to 1. We want to
set the bucket width so
that we never have
fewer than three
buckets or more than twelve. The more data
values we have the more buckets we can use.
Since we have a small amount of data, we will
use three buckets and check the results.
Bucket Width   Maximum  Minimum . For
# Buckets
Enter Enter F5
F3 ►
►
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small amounts of data, we can use a 3 buckets.
Using the formula, we get a bucket width of 11.
Set the bucket width to 11. If the formula
produces a decimal, we usually round the
bucket width to a whole number.
Note that the
calculator does not
set a very good
vertical scale.
This indicates that the
second bucket 28.7 –
39.7 has 4 numbers.
Display indicates that the third bucket, 28.7 to
39.7, has 5 numbers in it.
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d. Make a Probability Plot of the data.
Key Strokes
APPS 1 Stats/List F2 2
Comment
Enter
Enter
F2 1
F1
Enter F5
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The calculator has
calculated the zscores for each of the
data points in list1.
We now need to
make a scatter plot
the plots the z-scores against the corresponding
data points in list1.
Our probability plot is
set up at plot 2. Make
sure Plot 1 is turned off.
If it has a check, press
F4 and it will be
reomoved.
Make sure the Plot
Type is “Scatter
plot.” The x and y
axis have been set by
the calculator.
Displays the Probability Plot. If the graph is a
perfect straight line, the data in list1 is a normal
distribution. The closer the pattern is to a
straight line, the closer the data in list1 is to a
normal distribution. This data would not be
considered “near normal” because the leftmost
data point is an outlier. Removing that data
point would leave a “near normal” distribution.
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e. Clear list1 and delete the list zscore.
Key Strokes
◄ ……. ▲
Comment
Use the arrow keys to
highlight list1 title in
the Stats/List editor
CLEAR ENTER
▲ ► (6 times)
Clears list1 of data but leaves the list1 title.
Highlights the zscore
list title
♦ DEL
Clears the list and deletes the title.
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