C.V

(varianza / media aritmetica ) * 100


(2.56 / 2.9) * 100 = 88.28

varianza

clase	f	pm	Pmxf	x-media	(x-media) 2	(x-media)2 xf
0-1	36	0.5	18	-2.4	5.76	207.36
2-3	48	2.5	120	-0.4	0.16	7.68
4-5	66	4.5	297	1.6	2.56	168.96
total	150		435			384

Media= 2.9

Varianza =384/150=2.56

desviacion tipica

HORAS	F	PM	PM.F	pm-x	(pm-x)2	fi(pm-x)2
0-1	36	0.5	18	15.1	228.01	8208.36
2-3	48	2.5	120	117.1	13712.41	658195.68
4-5	66	4.5	297	294.1	8649481.81	5708657.46
total	150		453			6375061.6

  

X= 435/150           X=2.9

S= (raiz cuadrada de) 6375061.6/ 149

S=206.84


Btw el dos es al cuadrado :D

escala percentilar

Cantidad de horas	f	Fa	Pm
0-1	36	36	0.5
2-3	48	84	2.5
4-5	66	150	4.5
TOTAL	150

Para punto medio: 0.5

= 50(2x0+36)/150

= 12

Para punto medio: 2.5

= 50(2x36+48)/150

= 40

Para punto medio: 4.5

= 50(2x84+66)/150

= 78

cuartiles, deciles y percentiles

CUARTILES	DECILES	PERCENTILES
Q1 =  1(150)/4 = 37.5 Q2 =  2(150)/4 = 75 Q3 =  3(150)/4 = 112.5	D1 = 1(150)/10 = 15 D2=  2(150)/10 = 30 D3 =  3(150)/10 = 45 D4=  4(150)/10 = 60 D5 =  5(150)/10 = 75 D6 =  6(150)/10 = 90 D7 =  7(150)/10 = 105 D8 =  8(150)/10 = 120 D9 =  9(150)/10 = 135	P1 =  1(150)/100 = 1.5 P2 =  2(150)/100 = 3 P3 =  3(150)/100 = 4.5 P4 =  4(150)/100 = 6 P5 =  5(150)/100 = 7.5 P6 =  6(150)/100 = 9 P7 =  7(150)/100 = 10.5 P8 =  8(150)/100 = 12 P9 =  9(150)/100 = 13.5 P10 =  10(150)/100 = 15 P11 =  11(150)/100 = 16.5 P12 =  12(150)/100 = 18 P13 =  13(150)/100 = 19.5 P14 =  14(150)/100 = 21 P15 =  15(150)/100 = 22.5 P16 =  16(150)/100 = 24 P17 =  17(150)/100 = 25.5 P18 =  18(150)/100 = 27 P19 =  19(150)/100 = 28.5 P20 =  20(150)/100 = 30 P21 =  21(150)/100 = 31.5 P22 =  22(150)/100 = 33 P23 =  23(150)/100 = 34.5 P24 =  24(150)/100 = 36 P25 =  25(150)/100 = 37.5  P51= 51(150)/100 = 76.5 P51= 52(150)/100= 78 P51= 53(150)/100= 79.5 P51= 54(150)/100= 81 P51= 55(150)/100= 82.5 P51= 56(150)/100= 84 P51= 57(150)/100= 85.5 P51= 58(150)/100= 87 P51= 60(150)/100= 88.5 P51= 61(150)/100= 90 P51= 62(150)/100= 91.5 P51= 63(150)/100= 93 P51= 64(150)/100= 94.5 P51= 65(150)/100= 96 P51= 66(150)/100= 97.5 P51= 67(150)/100= 99 P51= 68(150)/100= 100.5 P51= 69(150)/100= 102 P51= 70(150)/100= 103.5 P51= 51(150)/100= 105 P51= 71(150)/100= 106.5 P51= 72(150)/100= 108 P51= 73(150)/100= 109.5 P51= 74(150)/100= 111 P51= 75(150)/100= 112.5

 

N° de percentiles	Posicion	PM
P75	112.5
P76	114.0
P77	115.5
P78	117.0
P79	118.5
P80	120.0
P81	121.5
P82	123.0
P83	124.5
P84	126.0
P85	127.5
P86	129.0
P87	130.5
P88	132.0
P89	133.5
P90	135.0
P91	136.5
P92	138.0
P93	139.5
P94	141.0
P95	142.5
P96	144.0
P97	145.5
P98	147.0
P99	148.5