The survival experience of 68 patients enrolled in the Stanford Health Transplantation Program (in days) are: Interval start – end (days)# entering the interval# deaths during the interval# withdrawing during the intervalEffective # exposed to risk of deathProportion dying during the intervalProportion surviving during the intervalCumulative proportion survivingXIxdxWxI’xqxpxPx0 - 496816366.50.2410.7590.75950 -9949110490.2240.7750.588100 – 1993842370.1080.8910.525200 - 3993254300.1670.8330.437400 -6992326200.10.90.393700 - 999154313.50.2960.7030.2771000 – 129981270.1430.8570.2371300 - 15995133.50.2860.7140.1691600+1010.5010.169Determine the approximate median survival time of the group. The median survival time is the point at which the cumulative survival proportion is 50%. This may be easiest to see on the graph! Please show the calulcations. I was able to fill out the table but have no idea what formula to use or what to plug in. Thank you!

Given: Interval start – end (days)# entering the interval# deaths during the interval#…

Answered: The survival experience of 68 patients…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The survival experience of 68 patients enrolled in the Stanford Health Transplantation Program (in days) are:

Interval start – end (days)	# entering the interval	# deaths during the interval	# withdrawing during the interval	Effective # exposed to risk of death	Proportion dying during the interval	Proportion surviving during the interval	Cumulative proportion surviving
X	I_x	d_x	W_x	I’_x	q_x	p_x	P_x
0 - 49	68	16	3	66.5	0.241	0.759	0.759
50 -99	49	11	0	49	0.224	0.775	0.588
100 – 199	38	4	2	37	0.108	0.891	0.525
200 - 399	32	5	4	30	0.167	0.833	0.437
400 -699	23	2	6	20	0.1	0.9	0.393
700 - 999	15	4	3	13.5	0.296	0.703	0.277
1000 – 1299	8	1	2	7	0.143	0.857	0.237
1300 - 1599	5	1	3	3.5	0.286	0.714	0.169
1600+	1	0	1	0.5	0	1	0.169

Determine the approximate median survival time of the group. The median survival time is the point at which the cumulative survival proportion is 50%. This may be easiest to see on the graph! Please show the calulcations. I was able to fill out the table but have no idea what formula to use or what to plug in. Thank you!

Definition Definition Middle value of a data set. The median divides a data set into two halves, and it also called the 50th percentile. The median is much less affected by outliers and skewed data than the mean. If the number of elements in a dataset is odd, then the middlemost element of the data arranged in ascending or descending order is the median. If the number of elements in the dataset is even, the average of the two central elements of the arranged data is the median of the set. For example, if a dataset has five items—12, 13, 21, 27, 31—the median is the third item in ascending order, or 21. If a dataset has six items—12, 13, 21, 27, 31, 33—the median is the average of the third (21) and fourth (27) items. It is calculated as follows: (21 + 27) / 2 = 24.

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