Mediana para datos agrupados
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La mediana para datos agrupados es el punto central de todos los datos y se encuentra entre N/2. Se calcula usando la fórmula que incluye el límite inferior de la clase mediana, N/2, la frecuencia acumulada anterior de la clase mediana, y la frecuencia absoluta y amplitud de la clase mediana. Para calcularla se determina primero la frecuencia acumulada, luego el valor central N/2, se identifica la clase mediana, y finalmente se aplica la fórmula.
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![MEDIANA PARA DATOS AGRUPADOS
Es el puntocentral de todoslosdatosy se buscael intervaloque este entre
𝑛
2
,lafórmulade la
medianaes:
𝑀𝑑 = 𝐿𝑖 + [
𝑁
2
− 𝐹𝐴𝑚𝑑−1
𝐹𝑚𝑑
]C
𝐿𝑖 = Límite inferiorde laclase mediana
𝑁
2
= Númerode datosdivididopara 2
𝐹𝐴𝑚𝑑 − 1 = Frecuenciaacumuladaanteriorde laclase medianaMd
𝐹𝑚𝑑 = Frecuenciaabsolutade laclase medianaMd
𝐶 = Amplituddel intervalo
PASOSPARA CALCULARLA MEDIANA
PasoN°1.- Calculamoslafrecuenciaacumulada
PasoN°2 .-Calculamosel valorcentral de losdatos
𝑁
2
PasoN°3.- Identificamoslaclase media.Enla frecuenciaacumuladaque contengael valor
obtenidoenel paso2
PasoN°4.-Aplicamoslafórmula.
N° Intervalos Fi FA
1 247 261
2
3
4
5
6
7
8
9
10](https://image.slidesharecdn.com/medianaparadatosagrupados-160107183537/85/Mediana-para-datos-agrupados-1-320.jpg)
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Mediana para datos agrupados
- 1. MEDIANA PARA DATOS AGRUPADOS Es el puntocentral de todoslosdatosy se buscael intervaloque este entre 𝑛 2 ,lafórmulade la medianaes: 𝑀𝑑 = 𝐿𝑖 + [ 𝑁 2 − 𝐹𝐴𝑚𝑑−1 𝐹𝑚𝑑 ]C 𝐿𝑖 = Límite inferiorde laclase mediana 𝑁 2 = Númerode datosdivididopara 2 𝐹𝐴𝑚𝑑 − 1 = Frecuenciaacumuladaanteriorde laclase medianaMd 𝐹𝑚𝑑 = Frecuenciaabsolutade laclase medianaMd 𝐶 = Amplituddel intervalo PASOSPARA CALCULARLA MEDIANA PasoN°1.- Calculamoslafrecuenciaacumulada PasoN°2 .-Calculamosel valorcentral de losdatos 𝑁 2 PasoN°3.- Identificamoslaclase media.Enla frecuenciaacumuladaque contengael valor obtenidoenel paso2 PasoN°4.-Aplicamoslafórmula. N° Intervalos Fi FA 1 247 261 2 3 4 5 6 7 8 9 10