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A researcher measures eye color for a sample of n = 50 people. Which measure of central tendency would be appropriate to summarize the measurements?​Group of answer choices​median​weighted mean​mean​mode

Question

A researcher measures eye color for a sample of n = 50 people. Which measure of central tendency would be appropriate to summarize the measurements?​Group of answer choices​median​weighted mean​mean​mode

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Solution

Para determinar cuál medida de tendencia central es apropiada para resumir las mediciones de color de ojos en una muestra de n = 50 personas, debemos considerar la naturaleza de los datos.

  1. Mediana: La mediana es útil para datos ordinales o intervalos, donde los valores pueden ser ordenados. Sin embargo, el color de ojos es una variable categórica nominal, lo que significa que no hay un orden inherente entre las categorías (por ejemplo, azul, verde, marrón).

  2. Media ponderada: La media ponderada se utiliza cuando cada valor tiene un peso diferente. Esto no es aplicable a los datos de color de ojos, ya que no hay pesos asociados a las categorías.

  3. Media: La media es adecuada para datos de intervalo o razón, donde los valores son numéricos y se pueden promediar. El color de ojos no es numérico, por lo que la media no es apropiada.

  4. Moda: La moda es la medida de tendencia central que identifica el valor que ocurre con mayor frecuencia en un conjunto de datos. Dado que el color de ojos es una variable categórica nominal, la moda es la medida más adecuada para resumir estos datos.

Por lo tanto, la medida de tendencia central apropiada para resumir las mediciones de color de ojos en esta muestra es la moda.

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