MATH200Z Program — Technical Notes

MATH200Z presents common dialogs for getting data and confidence levels, and validates the user’s input. The calling program sets the variable θ to tell MATH200Z what to do. This document shows what MATH200Z does with each value of θ and what variables it sets for use by the calling program.

• When θ = 0, the calling program intends to make a histogram or frequency polygon from the data. MATH200Z runs the Data Arrangement dialog and performs various validity checks on the response.

  The operation of the program depends on the user’s selected data arrangement, as follows:

  	Plain List	Ungrouped dist	Grouped dist	Probability dist
  θ set to	0 (unchanged)	1	2	3
  List LD set to	data list, must have ≥4 entries	data list, must have 2–47 entries equally spaced	class midpoints, must have 2–47 entries equally spaced	data list, must have 2–47 entries equally spaced
  W set to	(unchanged)	class width, and variable X is used as a loop index
  List LF set to	(unchanged)	frequencies or relative frequencies, must add to a whole number ≥4		probabilities, must add to 1
  		must have same number of entries as LD
  N set to	number of data points in LD	sum of LF
  X set to	(unchanged)	nothing useful

• When θ = 10, the calling program intends to compute skewness and kurtosis from the data. MATH200Z runs the Data Arrangement dialog and performs various validity checks on the response.

  The operation of the program depends on the user’s selected data arrangement, as follows:

  	Plain List	Ungrouped dist	Grouped dist	Probability dist
  θ set to	10 (unchanged)	11	12	13
  List LD set to	data list, must have ≥4 entries	data list, must have ≥2 entries	class midpoints, must have ≥2 entries equally spaced	data list, must have ≥2 entries
  W set to	(unchanged)	(unchanged)	class width, and variable X is used as a loop index	(unchanged)
  List LF set to	(unchanged)	frequencies or relative frequencies, must add to a whole number ≥4		probabilities, must add to 1
  		must have same number of entries as LD
  N set to	number of data points in LD	sum of LF
  X set to	(unchanged)	(unchanged)	nothing useful	(unchanged)

• When θ = 20, the calling program intends to make a box-whisker diagram from the data. MATH200Z runs the Data Arrangement dialog and performs various validity checks on the response.

  The operation of the program depends on the user’s selected data arrangement, as follows:

  	Plain List	Ungrouped dist
  θ set to	20 (unchanged)	21
  List LD set to	data list, must have ≥4 entries	data list, must have ≥2 entries
  List LF set to	(unchanged)	frequencies or relative frequencies, must add to a whole number and must have same number of entries as LD
  N set to	number of data points in LD	sum of LF

• When θ = 100, MATH200Z prompts for a confidence level (“C-Level”) and stores the result in variable C. If C > 50, MATH200Z divides it by 100, just as the TI-83/84 does in its dialogs for confidence intervals. If 0 < C < 1 (after adjustment) is not satisfied, MATH200Z prompts the user again.
• When θ = 200, MATH200Z prompts for X and Y lists, checks that they have the same length and are at least 4 entries long, and returns them in LX and LY; N is set to the length of each list.