037. Frequency Tables and Probability Tables

Frequency tables and probability tables are handy devices for summarizing data that can be used to compute probabilities.

For Example, consider the data set collected by Sales Director for E-Z-C Eye Care Center. The style and size of frames for eyeglasses were noted for the last 100 sales. The results are shown in Table 4.1. The probability table constructed from the frequency table 4.1 and is shown in Table 4.2.

Table 4.1 – Frequency Table for E-Z-C Eye Care Center

Size	Frame Style	Total
Plastic	Wire	Composite
Large	12	8	5	25
Medium	23	31	1	55
Small	6	6	8	20
Total	41	45	14	100

Table 4.2 – A Probability Table for sales for E-Z-C Eye Care Center

Size	Frame Style	Total
Plastic	Wire	Composite
Large	12/100 = 0.12	8/100 = 0.08	5/100 = 0.05	25/100 = 0.25
Medium	23/100 = 0.23	31/100 = 0.31	1/100 = 0.01	55/100 = 0.55
Small	6/100 = 0.06	6/100 = 0.06	8/100 = 0.08	20/100 = 0.20
Total	41/100 = 0.41	45/100 = 0.45	14/100 = 0.14	100/100 = 1.00

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