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For each number set in this assignment, give the mean, median, mode, and range. If one of these quantities does not exist in the set, then put "0".​41, 78, 37, 48, 42, 84   Mean:   ​Median:      ​Mode:      ​Range:

Question

For each number set in this assignment, give the mean, median, mode, and range. If one of these quantities does not exist in the set, then put "0".​41, 78, 37, 48, 42, 84   Mean:   ​Median:      ​Mode:      ​Range:

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Solution

Claro, aquí tienes el cálculo paso a paso:

  1. Conjunto de números: 41, 78, 37, 48, 42, 84

  2. Media (Mean):

    • Suma de los números: 41 + 78 + 37 + 48 + 42 + 84 = 330
    • Número de elementos: 6
    • Media = Suma de los números / Número de elementos = 330 / 6 = 55
  3. Mediana (Median):

    • Primero, ordenamos los números: 37, 41, 42, 48, 78, 84
    • Como hay un número par de elementos, la mediana es el promedio de los dos números centrales.
    • Números centrales: 42 y 48
    • Mediana = (42 + 48) / 2 = 90 / 2 = 45
  4. Moda (Mode):

    • La moda es el número que aparece con más frecuencia.
    • En este conjunto, todos los números aparecen una sola vez.
    • Por lo tanto, no hay moda. Ponemos "0".
  5. Rango (Range):

    • Rango = Número mayor - Número menor
    • Número mayor: 84
    • Número menor: 37
    • Rango = 84 - 37 = 47

Resumiendo:

  • Media: 55
  • Mediana: 45
  • Moda: 0
  • Rango: 47

This problem has been solved

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