---

Overview

Arkusz1
Arkusz2

---

Sheet 1: Arkusz1

x	średnia	klasy	(	]	ni	xi	xini	xi-xś.	(xi-xś)^2	[(xi - xś)^2]*ni	(xi-xś)^3	[(xi - xś)^3]*ni	(xi-xś)^4	[(xi - xś)^4]*ni	|xi - xś|	|xi - xś|*ni
15,8	16,8304	1	14,995	15,50	3	15,245	45,735	-1,58	2,4964	7,4892	-3,944312	-11,832936	6,23201296	18,69603888	1,58	4,74
16,05		2	15,50	16,00	7	15,745	110,215	-1,08	1,1664	8,1648	-1,259712	-8,817984	1,36048896	9,52342272	1,08	7,56
15,92		3	16,00	16,50	9	16,245	146,205	-0,580000000000002	0,336400000000002	3,02760000000002	-0,195112000000002	-1,75600800000002	0,113164960000001	1,01848464000001	0,580000000000002	5,22000000000002
17,31		4	16,50	17,00	8	16,745	133,96	-0,080000000000002	0,0064	0,051200000000002	-0,000512	-0,004096	4,09600000000038E-05	0,00032768	0,080000000000002	0,640000000000015
18,11		5	17,00	17,50	10	17,245	172,45	0,419999999999998	0,176399999999998	1,76399999999998	0,074087999999999	0,74087999999999	0,03111696	0,311169599999994	0,419999999999998	4,19999999999998
17,26		6	17,50	18,00	9	17,745	159,705	0,919999999999998	0,846399999999997	7,61759999999997	0,778687999999995	7,00819199999996	0,716392959999994	6,44753663999995	0,919999999999998	8,27999999999998
17,08		7	18,00	18,50	4	18,245	72,98	1,42	2,01639999999999	8,06559999999998	2,86328799999999	11,453152	4,06586895999998	16,2634758399999	1,42	5,67999999999999
16,56					50
17,84
17,82
16,32
15,34									Suma=	36,18	Suma=	-3,20880000000012	Suma=	52,2604559999999	Suma=	36,32
16,55					moda	mediana	x srednia		S^2=	0,723599999999999	M3=	-0,064176000000002	M4=	1,04520912	d1=	0,7264
17,29					17,33	16,87	16,825		S=	0,850646812725469	g=	-0,104261701315974	k=	1,99620929808301	h=	4,32%
15,78					17,26	16,91							v=	5,06%
17,35
16,58
18,2		k	ni	xi	ni/n
15,74		0		14,745	0
15,35		1	3	15,245	0,06
16,26		2	7	15,745	0,14
17,07		3	9	16,245	0,18
16,93		4	8	16,745	0,16
16,8		5	10	17,245	0,2
16,14		6	9	17,745	0,18
16,41		7	4	18,245	0,08
15,65		0		18,745	0
17,64
16,88
17,85
17,57
17,38
17,27
16,06
16,09
16,97
17,64
15
16,64
15,64
17,63
17,88
16,36
18,49
17,26
17,13
15,94
17,86
16,49
18,34
18,49	xmax
15	xmin
3,49	R
50	n
7,07	k
0,01	alfa
0,50	beta

---

Sheet 2: Arkusz2

x			k	xi	ni	xi*ni	xi-xś.	(xi-xś)^2	[(xi - xś)^2]*ni	(xi-xś)^3	[(xi - xś)^3]*ni	(xi-xś)^4	[(xi - xś)^4]*ni	|xi - xś|	|xi - xś|*ni
-2	xmin	-8	1	-8	2	-16	-8,08	65,2864	130,5728	-527,514112	-1055,028224	4262,31402496	8524,62804992	8,08	16,16
5	xmax	9	2	-7	1	-7	-7,08	50,1264	50,1264	-354,894912	-354,894912	2512,65597696	2512,65597696	7,08	7,08
-2			3	-6	3	-18	-6,08	36,9664	110,8992	-224,755712	-674,267136	1366,51472896	4099,54418688	6,08	18,24
-4			4	-5	2	-10	-5,08	25,8064	51,6128	-131,096512	-262,193024	665,97028096	1331,94056192	5,08	10,16
0			5	-4	6	-24	-4,08	16,6464	99,8784	-67,917312	-407,503872	277,10263296	1662,61579776	4,08	24,48
5			6	-3	1	-3	-3,08	9,4864	9,4864	-29,218112	-29,218112	89,99178496	89,99178496	3,08	3,08
-6			7	-2	5	-10	-2,08	4,3264	21,632	-8,998912	-44,99456	18,71773696	93,5886848	2,08	10,4
4			8	-1	4	-4	-1,08	1,1664	4,6656	-1,259712	-5,038848	1,36048896	5,44195584	1,08	4,32
4			9	0	3	0	-0,08	0,0064	0,0192	-0,000512	-0,001536	4,096E-05	0,00012288	0,08	0,24
-4			10	1	4	4	0,92	0,8464	3,3856	0,778688	3,114752	0,71639296	2,86557184	0,92	3,68
-4			11	2	5	10	1,92	3,6864	18,432	7,077888	35,38944	13,58954496	67,9477248	1,92	9,6
8			12	3	2	6	2,92	8,5264	17,0528	24,897088	49,794176	72,69949696	145,39899392	2,92	5,84
-4			13	4	3	12	3,92	15,3664	46,0992	60,236288	180,708864	236,12624896	708,37874688	3,92	11,76
4			14	5	3	15	4,92	24,2064	72,6192	119,095488	357,286464	585,94980096	1757,84940288	4,92	14,76
-7			15	6	0	0	5,92	35,0464	0	207,474688	0	1228,25015296	0	5,92	0
-1			16	7	2	14	6,92	47,8864	95,7728	331,373888	662,747776	2293,10730496	4586,21460992	6,92	13,84
9			17	8	1	8	7,92	62,7264	62,7264	496,793088	496,793088	3934,60125696	3934,60125696	7,92	7,92
-4			18	9	3	27	8,92	79,5664	238,6992	709,732288	2129,196864	6330,81200896	18992,43602688	8,92	26,76
3					50
-2					xśr	0,08
1								Suma=	1033,68	Suma=	1081,8912	Suma=	48516,099456	Suma=	188,32
0			Me=	0				S^2=	20,6736	M3=	21,637824	M4=	970,32198912	d1=	3,7664
2			Mo=	-4				S=	4,54682306671373	g=	0,23019157278762	k=	2,27030212191042	h=	4708,00%
-6												v=	5683,53%
2
-2
2				k	xi	ni	ni/n
3				0	-9	0	0
-8				1	-8	2	0,04
7				2	-7	1	0,02
1				3	-6	3	0,06
-1				4	-5	2	0,04
-5				5	-4	6	0,12
-2				6	-3	1	0,02
-1				7	-2	5	0,1
9				8	-1	4	0,08
-8				9	0	3	0,06
7				10	1	4	0,08
1				11	2	5	0,1
0				12	3	2	0,04
-4				13	4	3	0,06
2				14	5	3	0,06
-6				15	6	0	0
9				16	7	2	0,04
-3				17	8	1	0,02
-5				18	9	3	0,06
2				0	10	0	0
-1
1
5