Question

OPRE 3360 - Managerial Methods in Decision Making Under Uncertainty Chapter 2- Frequency, Relative Frequency and Percent Frequency Distributions 3. A partial frequency sample are given. Calculate the missing data on both tables distribution and a partial cunulative frequency distribution for a particular Class 1 -20 21 40 41 60 61-8013 81 100 Frequency Relative Frequency 25 Cumulative Frequency Cumulative Relative Frequency Class S 20 s 40 s 60 s 80 100 17 175 1.00

Answer 1

Computational Table:

Class	Frequency	Relative Frequency	Cumulative frequency	Cumulative relative frequency
1 - 20	3	3/75 = 0.04	3	0.04
21 - 40	17 - 3 = 14	14/75 = 0.19	17	0.04+0.19 = 0.23
41 - 60	25	25/75 = 0.33	17+25 = 42	0.33+0.23 = 0.56
61 - 80	13	13/75 = 0.17	42+13 = 55	0.56 + 0.17 = 0.73
81 - 100	20	20/75 = 0.27	55+20 = 75	0.73+0.27 = 1.00
Total	75	1.00

Cumulative frequency for 81-100 = 75, That is, Total Frequency = 75

Cumulative frequency for 21-40 = frequency of 1-20 class + frequency of 21-40 class

17 = 3 + frequency of 21-40 class

Therefore, frequency of 21-40 class = 17-3 = 14

frequency of 81-100 class = Total - All classes

frequency of 81-100 class = 75 - (3 + 14 + 25+13) = 20