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3.2. Cuestión de gustos... y edades

La encuesta

Escuchar al pueblo: la música del día grande tiene que gustar a todo el mundo... o al menos a la mayoría. Por ello, antes de decidir a quién contratar, es necesario preguntar y organizar bien las respuestas. Elegir la música sin antes preguntar suele salir caro: cada vecino quiere algo diferente, y ahí es donde empiezan las decisiones.
Grupo de pandereteiras en la orilla de un río de Arteixo

¡Toca elegir la música!

Echáis mano de una encuesta de años anteriores que encontráis en la libreta de la comisión.

En ella se preguntaban la preferencia musical y la edad.

    “Para analizar datos de muchas personas al mismo tiempo, necesitáis organizar la información para ver todas las características.”
    Carmelo

    Lectura facilitada

    Tenéis que elegir la música.

    Revisáis una encuesta en la libreta de la comisión anterior.

    Se recoge la edad y el gusto musical.

    Analizaréis las dos características a la vez.

    La vecindad ha hablado

    Para analizar los resultados de la encuesta, hecha a 100 personas, habéis hecho dos grupos según la edad: personas jóvenes y adultas; y según el estilo musical preferido: orquesta y banda tradicional.

    Completa la tabla de doble entrada, sabiendo que:

    • 40 son jóvenes.
    • 45 prefieren la banda tradicional.
    • 25 jóvenes prefieren la orquesta.
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%B0%A8%B0%D1%FD%FF%E2%FE%F7%E6%F3%B0%EF%EF

    Revisa lo que has aprendido en la página anterior para completar la tabla:

    Orquesta Banda tradicional TOTAL
    Jóvenes 25 @@15@@ 40
    Adultas @@30@@ @@30@@ @@60@@
    TOTAL @@55@@ 45 100
    Su navegador no es compatible con esta herramienta.

    ¿Qué probabilidades había?

    Pregunta

    EstudiandoTras obtener una visión completa de las preferencias del pueblo, decidís analizar resultados.

    Para ello, elegís una persona al azar entre las encuestadas del ejercicio anterior.

    Basándoos en los datos de la tabla, responded a las preguntas que están a continuación.

    1. ¿Cuál es la probabilidad de que la persona elegida sea joven y prefiera la orquesta?

    Respuestas

    \( \dfrac{25}{100} \)

    \( \dfrac{25}{40} \)

    \( \dfrac{25}{55} \)

    \( \dfrac{40}{100} \)

    Retroalimentación

    Pregunta

    2. ¿Cuál es la probabilidad de que la persona elegida al azar prefiera banda tradicional?

    Respuestas

    \( \dfrac{15}{100} \)

    \( \dfrac{30}{100} \)

    \( \dfrac{45}{100} \)

    \( \dfrac{60}{100} \)

    Retroalimentación

    Pregunta

    3. ¿Cuál es la probabilidad de que la persona elegida al azar sea adulta?

    Respuestas

    \( \dfrac{40}{100} \)

    \( \dfrac{60}{100} \)

    \( \dfrac{35}{100} \)

    \( \dfrac{55}{100} \)

    Retroalimentación

    Pregunta

    4. ¿Cuál es la probabilidad de que la persona elegida al azar sea adulta y prefiera orquesta?

    Respuestas

    \( \dfrac{25}{100} \)

    \( \dfrac{30}{100} \)

    \( \dfrac{35}{100} \)

    \( \dfrac{55}{100} \)

    Retroalimentación

    Nueva encuesta, nuevas decisiones

    Grupo musical

    Tras analizar los datos de la encuesta, detectáis algo importante: los vecinos y vecinas jóvenes no están del todo representados. 

    Para tomar una decisión más justa y actualizada, decidís ampliar la muestra a 1000 personas y repetirla.

    Ahora, con los nuevos datos recogidos, llega el momento de organizarlos correctamente para poder analizarlos y tomar una decisión final.

    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    Completa la tabla de contingencia con los datos correctos. Arrastra los números a su lugar correspondiente.

    Tabla con los datos de la encuesta hecha a 1000 personas.
    Jóvenes Adultas TOTAL
    Orquesta 180 @@120@@ 300
    Banda tradicional 50 @@200@@ 250
    Grupo musical de moda @@370@@ @@80@@ @@450@@
    TOTAL 600 @@400@@ 1000

    Su navegador no es compatible con esta herramienta.

    Feito con eXeLearning (Nova xanela)