To begin, we will turn on the calculator by pressing the
key, and then clear the screen by pressing the
key.
![]() |
To start we will set up the "LIST EDITOR" on the TI-83. To be sure that the calculator is
in a standard form, we will move to the STAT menu by pressing the ![]() |
![]() | We want to use option 5 (SetUpEditor) on this menu. We really
have two choices. We could just press the "5" key to both select and perform option 5.
In Figure 2 we have chosen the other method, namely pressing the
![]() ![]() |
![]() | All that we accomplished by selecting and performing the fifth option
from Figure 2 was
to write SetUpEditor on the screen as a command. This can be seen in Figure 3.
Now, to perform this command, we need to press the ![]() |
![]() | Figure 4 shows the calculator response to the SetUpEditor command, namely "DONE" on the right side of the screen. The real work of the SetUpEditor can not be seen on this screen. Rather, SetUpEditor has placed the six standard Lists [L1, L2, L3, L4, L5, and L6] into the List editor. We will see these lists in the List Editor in Figure 8. However, first let us create a list and store it into L2. |
We want to examine the numbers 3, 2, 3, 7, 9, 3, and 4. To do this on the calculator we need to put these numbers into a list. They can be put into any list, but we might as well use one of the pre-defined lists on the TI-83.
![]() | We place our numbers into L2 by creating a list and then assigning it to
L2. We create the list by enclosing the values
between braces. To generate the left brace press the ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
![]() | Figure 5 shows the command as it was set up on the screen. Of course, nothing has happened
in Figure 5 because we have not told the calculaltor to perform the operation. We do that
by pressing the ![]() |
![]() |
For Figure 7 we return to the STAT menu via the ![]() ![]() |
![]() | Caution: Figure 8 may not completely correspond to the screen
on your calculator. The calculator used here did not have any values assigned to lists
L1 and L3. If your calculator has values in those lists,
then the first and third columns will have numbers in them, rather than being blank. In preparation
for Figure 9, if you have numbers in the L1 column, delete those numbers by
repeatedly pressing the ![]()
The second column in Figure 8 holds the list of values that we just entered. Now, we
want to put a new list into L1. We could get out of the editor
and enter the list in the same way that we entered
L2.
However, in this case we will enter the list here, in the editor. As noted in the paragraph above,
if you already have a list in L1 you can delete an item
by pressing the |
We want to place the list of values
![]() | In Figure 9 we have started the process by pressing the
![]() ![]() ![]() ![]() |
![]() | The result of the actions given above is shown in the first column in Figure 10.
The number 124 has been placed into position 1 of the L1 list.
In addition, Figure 10 shows that we have started the process of entering the
next number, 137, into the list. We have pressed the
|
![]() | Figure 11 shows the result not only of entering the 137,
but also of continuing the process
by entering the values 192, 154, and 124.
In addition, Figure 11 shows that the next value,
158, is ready for input as the sixth item in the list.
This time, instead of the ENTER key, we will use the
![]() |
![]() | Figure 12 shows the resulting display after all of the items have been entered.
The prompt at the bottom of the screen is waiting for the 11th item, but there were only
10 items. We are done entering the data. We press the
![]() |
![]() | Figure 13 is merely a repeat of the STAT menu, with the EDIT submenu selected.
We want to look at the CALC submenu. Therefore, we press
the right arrow key, ![]() |
![]() | Figure 14 is a display of the CALC submenu for the STAT menu.
We are actually interested in looking at the one variable statistics command,
which happens to be the the first choice of this menu.
We can press either the ENTER key or, as was done here, press the ![]() |
![]() | Selecting the #1 menu choice in Figure 14 produces the command in figure 15. The 1-Var Stats command requires that we follow the command with the name of a list of values. |
![]() | To produce Figure 16 we have pressed the ![]() ![]() ![]() |
![]() | Figure 17 shows us some of the basic statistics for the values in
L1. We start with ![]() Briefly, the other items on Figure 17 are ![]() ![]() ![]() ![]() ![]()
We note that there is an arrow pointing down next to the n=10. That arrow indicates that there is more
information to be presented, and that we should use the cursor down key,
|
![]() | To move from Figure 17 to Figure 18 we have pressed the
![]() Two other values are given, namely, the first quartile (Q1=129) and the third quartile (Q3=158). The median is the second quartile point, where 50% of the values are below the median and 50% are above it. The first quartile point, Q1, has 25% of the values below it and 75% above. The third quartile point, Q3, has 75% of the values below it and 25% above. |
At this point we would like to go back and obtain the basic statistics on the values stored in L2. To do this we need to return to the 1-Var Stats command. There are many ways to accomplish this. In the sequence given below we will simply recall the last command and then modify it to reference the L2 list.
![]() | We recall the last command by pressing the
![]() ![]() |
![]() | We press the ![]() ![]() ![]() |
![]() | Here we have generated the desired command, the command to generate the basic
statistics for the values in L2. All that
remains is to press the ![]() |
![]() | Here are the basic statistics for the values that we stored in
L2 at the start of this page. We see that the mean
is 4.428571429 (![]() ![]() |
![]() | As before, the TI-83 provides more statistical information than can be seen on one screen.
Figure 23 shows the rest of this information. We used the
![]() |
We have seen the mean and median values for the lists stored in L1 and L2. For the purpose of demonstration, we will assume that we need to add two more numbers to the L1 list. In particular, we want to add 188 as the first element of the list and 192 as the last element of the list. Once this has been done, we will want to recompute the basic statistics for the L1 list of values.
![]() | To get to Figure 24 we have pressed the
![]() ![]() ![]() ![]() |
![]() | Here we see the result of using the insert command. The old values in L1 have been shifted down one place and a new value, 0, has been added to the start of the list. Furthermore, that new value is highlighted at the top and, therefore, it is displayed at the bottom, identifying it as item 1 in L1 . |
![]() | We did not want the new item to be 0. Rather we wanted to add the value 188.
Therefore, we will change the 0 to 188 by pressing the keys
![]() ![]() ![]() ![]() |
![]() | To add 192 to the end of the list we need to move the highlight down to the
end of the list. We do this by using the ![]() |
![]() | To move from Figure 27 to Figure 28 we enter the new number,
![]() ![]() ![]() ![]() We do not want to add any move values. Instead we want to recalculate the statistics for L1. |
![]() | We want to create the command 1-Var Stats L1.
There are many ways to do this. For example, we could go back to the STAT menu,
shift it from the Edit submenu to the Calc submenu, select the first option and then append the
name of the list, L1. However, we recently gave exactly the command that
we want to give now (we did this back in Figure 16. In fact, we have only given one other
command since then, in Figure 21 (opening menus and selection menu options does not count
as giving a command).
First we quit the editor via the two
key sequence |
![]() | Having recalled the command in Figure 29, we press
![]() ![]() ![]() |
![]() | We can see the new median for the values in L1 (Med=155.5). Remember that the median is the mid-point of the data. With the two new values in the list, and given that there are an even number of items in L1, we determine the median by taking the average of the two middle items in the sorted list. In this case, that will be the average of 154 and 157. |
In the first 31 Figures we have seen examples of finding the mean and median of lists of numbers. To find the median, the calculator must be sorting the values in the lists, but the TI-83 does not show us the sorted list. Instead, the calculator merely reports the minimum, maximum, median, and 1st and 3rd quartile points.
We have not seen any method for finding the mode of the data values in a list. The built-in features of the TI-83 do not produce the mode. We can augment those features, however, by programming the calculator. The program COLLATE has been created to help out here. The following Figures will use this program. The program must be placed into your calculator before you can use it. COLLATE is available here for downloading to a PC or Mac from which it can be transmitted to the TI-83 via the TI-GraphLink or TI-Connect program and cable. (It may be best to "right click" on the link and save the file to disk. Some problems have been noted when using Netscape to do this.) Alternatively, the program can be transfered from one TI-83 to another, if you know someone who has the program. Or, it is possible to enter the program. A listing of the program is given in the COLLATE listing page.
Let us investigate the use of the COLLATE program.
![]() | We press the ![]() ![]() ![]() |
![]() | All that we accomplished in the previous step was to place the command
![]() |
![]() | The COLLATE program starts by clearing the screen and asking us for the list of values to be used. |
![]() | If we want COLLATE to process the values that we have stored in
L1, then we press
![]() ![]() ![]() |
![]() | COLLATE will do a number of things as it examines each of the items in our
list. Once COLLATE is through examining the list, it will start its display.
Figure 36 shows that first display of results. According to Figure 36, COLLATE
found 12 items in our list, and COLLATE determined that there were 9 distinct values.
The pattern of dots at the upper right corner of the screen (they will be moving on the TI-83)
indicates that the calculator has "paused" so that we can read the screen. We can have the program move on by
pressing the |
![]() | Now the COLLATE program goes ahead and starts to list,
in ascending order, each distinct item found
along with the number of times it found that value.
If you were making a frequency distribution table, this screen would give you the
values needed for the first row of that table.
Thus, Figure 37 tells us that the first item
in our sorted set of values is 124 and that it was found 2 times in the list.
Press ![]() |
![]() | Accordng to Figure 38, the second value in the sorted list is 129 and it was found 1 time. This would be the second row of a frequency distribution table, and so on. |
![]() | Accordng to Figure 39, the third value in the sorted list is 137 and it was found 1 time. |
![]() | Accordng to Figure 40, the fourth value in the sorted list is 154 and it was found 2 times. |
![]() | The fifth value in the sorted list is 157 and it was found 1 time. |
![]() | The sixth value in the sorted list is 158 and it was found 1 time. |
![]() | The seventh value in the sorted list is 188 and it was found 1 time. |
![]() | The eighth value in the sorted list is 192 and it was found 2 times. |
![]() | The ninth value in the sorted list is 204 and it was
found 1 time. And we press
![]() |
![]() | Figure 46 shows the word "Done" on the lower right side of the screen. This is an indication that the COLLATE program has completed. |
The COLLATE program, by the time it has finished, does much more than just display the results shown above. That program creates three new lists. The first is called LINP and it holds a sorted copy of the list that we gave to the COLLATE program. The second list is called ITEM and it holds the different distinct values that were found in LINP. The third list is called ICNT and it holds a count of the number of times each corresponding value in ITEM appears in LINP. That is, ICNT holds the frequency with which values in ITEM appear in LINP. In addition, COLLATE uses the SetUpEditor command to change the way that the list editor appears.
![]() | We have arrived at Figure 47 by pressing the ![]() ![]() Figure 47 confirms the text description given above. LINP is the sorted version of L1, the list that we input to COLLATE. ITEM does hold the distinct values that are in L1, and, therefore, are in LINP. And, ICNT holds the frequency with which values in ITEM appear in L1. |
![]() | In Figure 48 we have used the ![]() |
![]() | We will leave the editor by pressing the
keys ![]() ![]() ![]() ![]() ![]() |
![]() | Here we see that the program has cleared the screen and has asked for a new list to
process. Rather than enter the name of a list, we will enter a new list ![]() |
![]() | COLLATE has processed the list. It has found that we have 21 items in the
list, but that there are only 4 distinct values.
We press ![]() |
![]() | Figure 52 informs us that the first value was 4, and that it appeared 6 times.
Press ![]() |
![]() | The second value was 6, and it appeared 5 times. |
![]() | The third value was 7, and it appeared 8 times. |
![]() | The fourth value was 9, and it appeared 2 times. |
![]() | Having pressed ![]() |
![]() | We use the key sequence
![]() ![]() |
We have seen two different ways to give COLLATE a list. In the first case, we created a list in L1 and then supplied the name L1 to the COLLATE program. In the second case, we simply entered the list into the program, as was shown in Figure 50. Both methods work. The first has the advantage that the original list is in the calculator and it can be changed if need be (we experienced a change to the L1 list earlier). The second has the advantage that it requires no prior work. With the second approach you can just run the program and give it the list. The drawback is that the original list is not saved anywhere. However, COLLATE does save the sorted version of that list, in LINP, and you can edit or use LINP if need be. The Figures below will demonstrate this as well as expand on the use of the 1-Var Stats command.
Let us obtain the basic statistics for the list of values that we just put into the COLLATE program. We will not have to re-enter those values because we really have them in the calculator twice already. We have them in the LINP list, and we have them in the combination of the ITEM and ICNT lists, which provide the distinct items and their associated frequency. Earlier, in Figures 16, 21, and 29, we demonstrated the 1-Var Stats command where we followed the command by the name of a single list. If we follow the 1-Var Stats command by two lists, separated by a comma, then the calculator understands that the first list holds the values, and the second list holds their frequency. This is the perfect case for our two lists, ITEM and ICNT.
![]() | For Figure 58 we want to create the 1-Var Stats command.
We do this by moving to the STAT menu via the ![]() ![]() ![]() |
![]() | Now we want to append the name of the ITEM list to the command. We can do this
by moving to the LIST menu via the ![]() ![]() ![]() |
![]() | To move from Figure 59 to Figure 60, press the ![]() ![]() |
![]() | To finish the command we need to append the ICNT name. We return to the
LIST menu via the ![]() ![]() ![]() |
![]() | The command is now complete. Again the TI-83 has inserted the required
L before the name ICNT.
We press ![]() |
![]() | The most important thing to note in Figure 63 is count of values, n=21. Remember that there are only 4 items in ITEM. This should confirm that our 1-Var Stats command really used both ITEM and ICNT, with ICNT supplying the frequency for values in ITEM. |
![]() | Figure 64 shows the screen after using the
![]() |
![]() | Starting with Figure 65 we will do the 1-Var Stats statistics
on the LINP values, in order to confirm that they are the same as the statistics
that we have just seen in Figures 63 and 64. To do this we generate
another 1-Var Stats command by pressing the
![]() ![]() ![]() |
![]() | We move to the LIST menu via the ![]() ![]() ![]() ![]() |
![]() | In Figure 67 the command has been created.
We press the ![]() |
![]() | Figure 68 shows the statistics generated by processing the LINP values. The values in Figure 68 are identical to those in Figure 63. |
Having demonstrated the COLLATE program, there is one detail tht we should wrap up here. At the very start of this presentation we issued the SetUpEditor command. That command, when given without any other values, sets the list editor to hold the standard lists, L1 through L6. The COLLATE program gives its own version of the SetUpEditor command. It looks like
All of this raises the question, how can we add an existing list to the list editor? One way would be to reform and issue a new SetUpEditor command. For example, to add L1 to the editor while leaving ITEM, ICNT, and LINP in it, we could form and issue the command
![]() | We start by opening the list editor via the ![]() ![]() |
![]() | In Figure 70 we have moved the highlight to the right via two
presses of the ![]() ![]() |
![]() | Now, if we move to the right one more space,
by pressing the ![]() |
![]() | The list that we want to add to the editor is L1.
Therefore, all we need to do is to
press the ![]() ![]() |
![]() | Finally, to produce Figure 73, we press the
![]() |
©Roger M. Palay
Saline, MI 48176
November, 2010