Question

From a cross-sectional life table provided, please answer the following questions below: Age group nQx lx ndx Lx Tx ?? 0-4 0.02592 100000 5-9 0.0042 10-14 0.00232 15-19 0.00201 20-24 0.00443 25-29 0.00611 30-34 0.00632 35-39 0.00654 40-44 0.01098 45-49 0.01765 50-54 0.02765 55-59 0.04387 60-64 0.05987 65-69 0.09654 70-74 0.13654 75-79 0.18765 80-84 0.47898 85-89 0.57908 90+ 1 (a) Calculate the following column heading: lx, ndx ,Lx ,Tx and ex [12 marks] (b) What age would you expect a person to live (on average) once he/she has attained the age of 15 years? [3 marks] Question 2 [25 marks]

Answer 1

Solution :

1)

a)

Age group	x	nQx	lx	ndx	nLx	Tx	ex
0-4	5	0.02592	100000	2592	493520	7303454	73.03454
5-9	5	0.0042	97408	409.1136	486017	6809934	69.91145
10-14	5	0.00232	96999	225.0377	484432	6323917	65.19569
15-19	5	0.00201	96774	194.5157	483384	5839485	60.34146
20-24	5	0.00443	96579	427.845	481825	5356101	55.45823
25-29	5	0.00611	96151	587.4826	479286	4874275	50.69397
30-34	5	0.00632	95564	603.9645	476310	4394989	45.99001
35-39	5	0.00654	94960	621.0384	473247	3918679	41.26663
40-44	5	0.01098	94339	1035.842	469105	3445432	36.52182
45-49	5	0.01765	93303	1646.798	462398	2976326	31.89958
50-54	5	0.02765	91656	2534.288	451944	2513928	27.42786
55-59	5	0.04387	89122	3909.782	435836	2061984	23.13664
60-64	5	0.05987	80111	4796.246	388564	1626148	20.29869
65-69	5	0.09654	75315	7270.91	358398	1237584	16.43211
70-74	5	0.13654	68044	9290.728	316993	879186	12.92085
75-79	5	0.18765	58753	11025	266203	562193	9.568756
80-84	5	0.47898	47728	22860.76	181488	295991	6.201614
85-89	5	0.57908	24867	14399.98	88335	114503	4.604598
90+		1	10467	10467	26168	26168	2.5

We know,

b)

The expected age would a person to live (on average) once he/she has attained at age of 15 years is 60 .

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