Plotting a Histogram with the TI-83 Plus/TI-84

Content:  This page gives a detailed procedure for creating a histogram with a TI-83 Plus or TI-84 Calculator.
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2011 Frank Kizer   

Plotting a Histogram: 
    Problem:  
Let's make a histogram using the following data:
        1   1   5   9  10 12 14 17 18
        18 19 19 19 20 21 22 25 25
       
27 29 36 38 38 39 39 39 40
        41 41 43 43 45 46  46 49 50
        50 50 54 54 59 59
A)  Entering Data:
     a)  Press STAT; then ENTER.  Tables for entering data will appear.  You may want to completely clear the list
         you are planning to use by moving the cursor to the title, for example L1, and pressing CLEAR, ENTER. 
         DO NOT press DEL while you have the title highlighted or your delete that list from the tables. 
    b)  To enter data, just place the cursor where you want to enter the data and press the correct
         numbers.  If you have not cleared the list and the old list is longer than the new list, you will need to
         delete the remaining old data items.  Just place the cursor over the data you want to delete and press DEL.

Preliminaries:   First let's calculate the class width.  The calculator could choose the number of classes, but
  it's a bit more instructive to specify he number of classes. First we can easily find the minimun and maximum balues as
  follows:
  a)  Press STAT, 2 for SortA(, 2ND, L1. The first number in the list, 1, will be the minimum and the last number, 59, will be the
       maximum.  The formula for calculating the class width is as follows:
       Class width = (largest number-smallest number)/Number of classes desired
       Let's choose five classes.  Then we have the following:
      CW =(59 -1)/5
          =58/5
         =11.6
   We round off to the next highest number making the class width = 12.

Class Limits Class Boundaries  Frequency
1-12 .5-12.5 6
13-24 12.5-24.5 10
25-36 69.5-71.5 5
37-48 71.5-73.5 13
49-60 73.5-75.5 8

Figure 1.  Completed Table
 

Graph Using a Calculator and Choosing Your Own Class Width:
  
 
a)  After the data is all entered, press [2nd], [STAT PLOT] and press ENTER twice  to turn Plot 1 on.
      b)  Cursor to the  icons opposite Type, select the third icon, histogram,  and press [ENTER] to 
            highlight the histogram icon.
      c)  Enter L1 (or whatever list your data is in) opposite Xlist, by pressing 2nd, L1.  Make sure there's a
           1 opposite Freq if you have ungrouped data.
       d)  Press WINDOW and enter 12 (the class width) opposite Xscl.  I also usually set Ymin to -0.5 so that the x-axis
             will be visible. 
       e) Finally then press [ZOOM] and then 9 (ZoomStat)  and the histogram
            will appear on the screen.

   NOTE:  If desired, you can press TRACE and move across the tops of the bars to get the class limits and the frequencies.  You can
     use this method to make a table such as the one below on a sheet of paper.

  
  Figure 2. Completed Histogram
  Xscl=12m, Trace activated.
 

Alternate method for Determining Frequency with the aid of the calculator:
  
a)  After determining the class limits and boundaries using the method in the first part of the procedure above,
        go to the list by pressing STAT, ENTER. 
   b) To get the frequency for the first class, move the cursor to the last number that fits in the first class.That's 12. The frequency will be
       the number, 6. It is located in parentheses at the bottom left of the screen. See Figure 1 below.

    
     Figure 3. List tables. Data in L1.

   c)  To get the frequency for the second class, move the cursor to 22.  The frequency to that number will is 16. Subtract the previously
        accumulated frequency, 6, for that value to give 10.  Continue in this manner until you have all of the frequencies. 

Released: 3/15/11
Last Revised:  3/15/11

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