Question

Certain kinds of tumors tend to recur. The following data represent the lengths of time, in months, for a tumor to recur after chemotherapy (Reference: D.P. Byar, Journal of Urology, Vol. 10, pp. 556-561).

19	18	17	1	21	22	54
46	25	49	50	1	59	39
43	39	5	9	38	18	14
45	54	59	46	50	29	12
19	36	38	40	43	41	10
50	41	25	19	39	27	20

For this problem, use five classes.

(a) Find the class width.


(b) Make a frequency table showing class limits, class boundaries, midpoints, frequencies, relative frequencies, and cumulative frequencies. (Give relative frequencies to 2 decimal places.)

Class Limits

Class Boundaries

Midpoint

Frequency

Relative Frequency

Cumulative Frequency

Answer 1

Ans. First Enter a data and then sort out

1
1
5
9
10
12
14
17
18
18
19
19
19
20
21
22
25
25
27
29
36
38
38
39
39
39
40
41
41
43
43
45
46
46
49
50
50
50
54
54
59
59

a)then calculate class width and round nearest whole no.

=J10/5=12

1	=L10+11		Class Limits	Class Boundaries	Midpoint	Frequency	Relative	Cumulative	Cumulattive Relative Frequency
=L10+12	=L11+11
=L11+12	=L12+11		1-12	0.5-12.5	=(L10+M10)/2	6	=R12/$R$17	=R12	=S12
=L12+12	=L13+11		13-24	12.5-24.5	=(L11+M11)/2	10	=R13/$R$17	=T12+R13	=U12+S13
=L13+12	=L14+11		25-36	24.5-36.5	=(L12+M12)/2	5	=R14/$R$17	=T13+R14	=U13+S14
			37-48	36.5-48.5	=(L13+M13)/2	13	=R15/$R$17	=T14+R15	=U14+S15
			49-60	48.5-60.5	=(L14+M14)/2	8	=R16/$R$17	=T15+R16	=U15+S16
						=SUM(R12:R16)

1	12		Class Limits	Class Boundaries	Midpoint	Frequency	Relative	Cumulative	Cumulattive Relative Frequency
13	24
25	36		1-12	0.5-12.5	6.5	6	0.142857143	6	0.142857143
37	48		13-24	12.5-24.5	18.5	10	0.238095238	16	0.380952381
49	60		25-36	24.5-36.5	30.5	5	0.119047619	21	0.5
			37-48	36.5-48.5	42.5	13	0.30952381	34	0.80952381
			49-60	48.5-60.5	54.5	8	0.19047619	42	1
						42