Histograms on the TI-83

STATISTICS 2005

Fundamentals of Statistics Section 95

TI-83 Instructions

Histograms

Fall Semester 1999

Histograms,on the TI-83

Your Ti-83 can help you draw histograms, relative frequency histograms, and scatter diagrams. It also can do the most essential step in drawing stem and leaf plots. The data we will be working on is the following data concerning CEO and salary data for 60 small companies. Here is the data- salary is given in thousands of dollars

AGE SAL

53 145

43 621

33 262

45 208

46 362

55 424

41 339

55 736

36 291

45 58

55 498

50 643

49 390

47 332

69 750

51 368

48 659

62 234

45 396

37 300

50 343

50 536

50 543

58 217

53 298

57 1103

53 406

61 254

47 862

47 *

56 204

44 206

46 250

58 21

48 298

38 350

74 800

60 726

32 370

51 536

50 291

40 808

61 543

63 149

56 350

45 242

61 198

70 213

59 296

57 317

69 482

44 155

56 802

50 200

56 282

43 573

48 388

52 250

62 396

48 572

HISTOGRAMS:

To construct a histogram you should use the STAT editor on the TI-83. First you need to set up the editor

Hit STAT, 4,2^nd 1, comma, 2^nd 2, and enter. Here are the screens you should see

Hit STAT	Hit 4	Hit 2^nd 1	Hit comma	Hit 2^nd 2	Hit enter

The ClrList command will clear whatever was in your list previously. Now to enter data you hit STAT 1 for the Stat editor you should see the following screen

Now you can enter the data in the list L1. To do this simply enter the data value and press enter. Here is the screen after the first value (53) is entered.

Notice that the cursor moves directly below the value just entered - go ahead and enter the remaining 59 values in your editor. The editor has enough space - it can hold 100 values at a time. After you have completed entering the values your screen should look as follows:

Now hit ( 2^nd MODE) for quit and you should be back to the home screen. After you have entered the data you need to set up the statistics plotter. Hit 2^nd Y= (for stat plot), and then select 1 for Plot 1

You should make sure the plot is On, The type is histogram, Xlist is L1 and Freq is 1. To Change these values use the arrow keys to move to different items and either type in the value of just hit enter. Your final screen should look like this now:

Now hit 2^nd Mode to Quit again. Now you are ready to plot. One quick way to plot is to hit ZOOM and then 9 (for ZoomStat). You will see the histogram :

This automatic feature will always give you a histogram - but it may not be the one you want! In fact it is hard to tell what histogram it is because of the lack of labels. Hit TRACE to remedy this situation:

What do the labels mean? The P1:L1 stands for Plot #1 and the data plotted is from List #1, Min = 32 and Max < 38 means the first class is from 32 to 37. N=4 tells us the frequency for this class. Hit one right arrow and you will get to the next bar which goes from 38-43 and has frequency of 5, you can keep hitting the arrow key to get all bars.

If you want a different histogram, you only need to change the window. Here is how to do this. Hit window, you will see the following:

Suppose we want a histogram with 15 classes. A simple calculation (which you know how to do J ) will show you the class width is 3 in this case. Let's leave the starting value at 32 - all you need to change is the value for Xscl, which will needs to change to 3. Change and redraw the histogram (Hit graph) and you will see the following.

Note that the class width is now three (the first class is 32-34).

To summarize: To draw a histogram on the TI-83

Set up the lists to enter data. You can use ClrList or hit CLEAR on the list you want to use
Enter the data in the list
Set up the window for the appropriate X and Y scale and especially set the correct value for Xscl (this should be set to the class width)
Hit graph and Trace to finish the histogram graph

This might seem really difficult at this point - but with practice you will find this easy to do