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

18 19 19 19 20 21 22 25 25

41 41 43 43 45 46 46 49 50

50 50 54 54 59 59

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 L

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, L_{1.} 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 L

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.

**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.

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