0-499 22 500-999 201 1000-1499 1,645 1500-1999 9,365 2000-2499 92,191 2500-2999 569,319 3000-3499 1,387,335 3500-3999 988,011...

0-499	22
500-999	201
1000-1499	1,645
1500-1999	9,365
2000-2499	92,191
2500-2999	569,319
3000-3499	1,387,335
3500-3999	988,011
4000-4499	255,700
4500-4999	36,766
5000-5499	3,994

0-499	22
500-999	201
1000-1499	1,645
1500-1999	9,365
2000-2499	92,191
2500-2999	569,319
3000-3499	1,387,335
3500-3999	988,011
4000-4499	255,700
4500-4999	36,766
5000-5499	3,994

D) Use the normal model to determine the proportion of babies in each class

How do I manually determine the normal mode? Please provide step by step manually (excel is what I am using, however I need to show steps.

Thank you.

Expert Solution

Class limit	Frequency (f)	Mid value (x)	xf	x^2f
0-499	22	249.5	5489	1369505.5
500-999	201	749.5	150649.5	112911800.3
1000-1499	1,645	1249.5	2055427.5	2568256661
1500-1999	9,365	1749.5	16384067.5	28663926091
2000-2499	92,191	2249.5	207383654.5	4.6651E+11
2500-2999	569,319	2749.5	1565342591	4.30391E+12
3000-3499	1,387,335	3249.5	4508145083	1.46492E+13
3500-3999	988,011	3749.5	3704547245	1.38902E+13
4000-4499	255,700	4249.5	1086597150	4.61749E+12
4500-4999	36,766	4749.5	174620117	8.29358E+11
5000-5499	3,994	5249.5	20966503	1.10064E+11
Sum=	3344549		11286197976	3.88981E+13
Average=			3374.505195	11630297.32

Mean (M)=	3374.5052
Standard deviation (S)=	492.9625

Class limit	Frequency (f)	x*	z=(x*-M)/S	T	Proportion
		0	-6.8454	0	0
0-499	22	499.5	-5.8321	0	0
500-999	201	999.5	-4.8178	0	0
1000-1499	1,645	1499.5	-3.8035	0.0001	0.0001
1500-1999	9,365	1999.5	-2.7893	0.0026	0.0025
2000-2499	92,191	2499.5	-1.775	0.0379	0.0353
2500-2999	569,319	2999.5	-0.7607	0.2234	0.1855
3000-3499	1,387,335	3499.5	0.2536	0.6001	0.3767
3500-3999	988,011	3999.5	1.2678	0.8976	0.2975
4000-4499	255,700	4499.5	2.2821	0.9888	0.0912
4500-4999	36,766	4999.5	3.2964	0.9995	0.0107
5000-5499	3,994	5499.5	4.3107	1	0.0005



Mean (M)=	3374.5052
Standard deviation (S)=	492.9625

Since for normal distribution mean=mode, hence mode=3374.5052.

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