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For the population of scores shown in the frequency distribution table, the mean is ____.​​X         f5          24          13          32          21          2

Question

For the population of scores shown in the frequency distribution table, the mean is ____.​​X         f5          24          13          32          21          2

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Solution

Para encontrar la media de la población de puntuaciones mostrada en la tabla de distribución de frecuencias, sigue estos pasos:

  1. Multiplica cada puntuación (X) por su frecuencia (f) para obtener el producto de cada par.
  2. Suma todos los productos obtenidos en el paso anterior.
  3. Suma todas las frecuencias.
  4. Divide la suma de los productos (paso 2) entre la suma de las frecuencias (paso 3).

Vamos a realizar estos pasos con los datos proporcionados:

  1. Multiplicamos cada puntuación por su frecuencia:

    • 5 * 2 = 10
    • 4 * 1 = 4
    • 3 * 2 = 6
    • 2 * 1 = 2

  2. Sumamos los productos:

    • 10 + 4 + 6 + 2 = 22

  3. Sumamos todas las frecuencias:

    • 2 + 1 + 2 + 1 = 6

  4. Dividimos la suma de los productos entre la suma de las frecuencias:

    • 22 / 6 ≈ 3.67

Por lo tanto, la media de la población de puntuaciones es aproximadamente 3.67.

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