7%

22%

13%

16%

13%

20%

9%

1 2 3 4 5 6 7

1

2

3

4

5

6

7

0 5 10 15 20 25 30 35 40 45 50

Series1

frecuencia acumulada

frecuencia

relativa

1 2 3 4 5 6 7 80.000000000.100000000.200000000.300000000.400000000.500000000.600000000.700000000.800000000.900000001.00000000

Series1

intervalos aparentes intervalos limite inferior limite superior

1 105350 1067872 106788 1082253 108226 1096334 109664 1111015 111102 1125396 112540 1139777 113978 115415

intervalos reales

limite inferior

limite superior

XI FI fai fri Frai Fi*xi xi -x fi (Xi-X)^2 fi

105349.5 106787.5 158743.25 3 3 0.06250000

0.06250000 476229.75 476229.75 5598258262

106787.5 108225.5 160900.25 10 13 0.20833333

0.27083333 1609002.5 1609002.5 2.58889E+11

108225.5 109633.5 163042.25 6 19

0.1250000

0.39583333 978253.50 978253.5 1.59497E+11

109663.5 111101.5 165214.25 7 26 0.14583333

0.54166667

1156499.75 1156499.75 .9107E+11

111101.5 112539.5 167371.25 6 32 0.12500000

0.66666667

1004227.50 1004227.5 1.68079E+11

112539.5 113977.5 169528.25 9 41 0.18750000

0.85416667

1525754.25 1525754.25 2.58658E+11

113977. 115415.5 171685.25 4 45 0.08333333 0.9375000 686741.00 686741.000 1.17903E+11

frecuencia relativa

acumulada

5 3 0 0

totales 7436708.2

5 7436708.25 1.22969E+12

media a=154931.42

2 desviacion media 154931.4219

varianza 309862.8438desviacion estandar