Respuesta:
Explicación paso a paso:
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[tex]IC[/tex] [tex]x_{i}[/tex] [tex]f_{i}[/tex] [tex]F_{i}[/tex] [tex]x_{i} * f_{i}[/tex]
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[tex]0-3[/tex] [tex]1.5[/tex] [tex]10[/tex] [tex]10[/tex] [tex]15[/tex]
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[tex]3-6[/tex] [tex]4.5[/tex] [tex]8[/tex] [tex]18[/tex] [tex]36[/tex]
[tex]6-9[/tex] [tex]7.5[/tex] [tex]16[/tex] [tex]34[/tex] [tex]120[/tex]
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[tex]9-12[/tex] [tex]10.5[/tex] [tex]1[/tex] [tex]35[/tex] [tex]10.5[/tex]
[tex]Total[/tex] [tex]n = 35[/tex] [tex]181.5[/tex]
a )
X = ∑ xi / n = [tex]\frac{181.5}{35} = 5.19[/tex]
X ≈ 5.19
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b )
Orden de la mediana: [tex]\frac{n}{2} = \frac{35}{2} = 17.5[/tex]
[tex]Li = 3[/tex]
[tex]Fi -1 = 10[/tex]
[tex]fi = 8[/tex]
[tex]Ci = 3[/tex]
[tex]Med. = Li +[\frac{\frac{n}{2} -Fi-1}{fi}]*Ci = 3+ [\frac{17.5-10}{8} ]* 3[/tex]
[tex]Med. = 3 + [ \frac{7.5}{8} ] *3 = 3+ (0.9375)* 3[/tex]
[tex]Med. = 3 + 2.8125[/tex]
[tex]Med. = 5.8125[/tex]
Med. ≈ 5.81
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c )
[tex]Li = 6[/tex]
[tex]d1 = 16-8 = 8[/tex]
[tex]d2 = 16-1 = 15[/tex]
[tex]Mo = Li + [ \frac{d1}{d1+d2} ] * Ci = 6+ [\frac{8}{8+15} ] * 3[/tex]
[tex]Mo = 6 + [ \frac{8}{23} ] *3 = 6+ \frac{24}{23} = 6 +1.04347[/tex]
[tex]Mo = 7.04[/tex]
Mo ≈ 7.04
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Respuesta:
Explicación paso a paso:
__________________________________________________
[tex]IC[/tex] [tex]x_{i}[/tex] [tex]f_{i}[/tex] [tex]F_{i}[/tex] [tex]x_{i} * f_{i}[/tex]
___________________________________________________
[tex]0-3[/tex] [tex]1.5[/tex] [tex]10[/tex] [tex]10[/tex] [tex]15[/tex]
____________________________________________________
[tex]3-6[/tex] [tex]4.5[/tex] [tex]8[/tex] [tex]18[/tex] [tex]36[/tex]
____________________________________________________
[tex]6-9[/tex] [tex]7.5[/tex] [tex]16[/tex] [tex]34[/tex] [tex]120[/tex]
_____________________________________________________
[tex]9-12[/tex] [tex]10.5[/tex] [tex]1[/tex] [tex]35[/tex] [tex]10.5[/tex]
_____________________________________________________
[tex]Total[/tex] [tex]n = 35[/tex] [tex]181.5[/tex]
_____________________________________________________
a )
X = ∑ xi / n = [tex]\frac{181.5}{35} = 5.19[/tex]
X ≈ 5.19
---------------------------------------------------------------------------------------
b )
Orden de la mediana: [tex]\frac{n}{2} = \frac{35}{2} = 17.5[/tex]
[tex]Li = 3[/tex]
[tex]Fi -1 = 10[/tex]
[tex]fi = 8[/tex]
[tex]Ci = 3[/tex]
[tex]Med. = Li +[\frac{\frac{n}{2} -Fi-1}{fi}]*Ci = 3+ [\frac{17.5-10}{8} ]* 3[/tex]
[tex]Med. = 3 + [ \frac{7.5}{8} ] *3 = 3+ (0.9375)* 3[/tex]
[tex]Med. = 3 + 2.8125[/tex]
[tex]Med. = 5.8125[/tex]
Med. ≈ 5.81
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c )
[tex]Li = 6[/tex]
[tex]d1 = 16-8 = 8[/tex]
[tex]d2 = 16-1 = 15[/tex]
[tex]Ci = 3[/tex]
[tex]Mo = Li + [ \frac{d1}{d1+d2} ] * Ci = 6+ [\frac{8}{8+15} ] * 3[/tex]
[tex]Mo = 6 + [ \frac{8}{23} ] *3 = 6+ \frac{24}{23} = 6 +1.04347[/tex]
[tex]Mo = 7.04[/tex]
Mo ≈ 7.04