3. (08.03)A restaurant manager recorded the number of people in different age groups who attended her food festival:Which of the following frequency tables represents the data in the histogram accurately? (3 points)Age Group (year) Number of People0-192020-396040-594060-7950Age Group (year) Number of People0-192020-396040-595060-7940Age Group (year) Number of People0-192020-394040-596060-7950Age Group (year) Number of People0-196020-392040-594060-7950
Question
3. (08.03)A restaurant manager recorded the number of people in different age groups who attended her food festival:Which of the following frequency tables represents the data in the histogram accurately? (3 points)Age Group (year) Number of People0-192020-396040-594060-7950Age Group (year) Number of People0-192020-396040-595060-7940Age Group (year) Number of People0-192020-394040-596060-7950Age Group (year) Number of People0-196020-392040-594060-7950
Solution
Para resolver esta pregunta, debemos comparar los datos proporcionados en el histograma con las tablas de frecuencia dadas. Vamos a analizar cada tabla de frecuencia y verificar cuál coincide con los datos del histograma.
Datos del histograma:
- Grupo de edad 0-19: 20 personas
- Grupo de edad 20-39: 60 personas
- Grupo de edad 40-59: 40 personas
- Grupo de edad 60-79: 50 personas
Ahora, revisemos cada tabla de frecuencia:
-
Primera tabla:
- Grupo de edad 0-19: 20 personas
- Grupo de edad 20-39: 60 personas
- Grupo de edad 40-59: 40 personas
- Grupo de edad 60-79: 50 personas
Esta tabla coincide exactamente con los datos del histograma.
-
Segunda tabla:
- Grupo de edad 0-19: 20 personas
- Grupo de edad 20-39: 60 personas
- Grupo de edad 40-59: 50 personas
- Grupo de edad 60-79: 40 personas
Esta tabla no coincide con los datos del histograma, ya que los valores de los grupos de edad 40-59 y 60-79 están intercambiados.
-
Tercera tabla:
- Grupo de edad 0-19: 20 personas
- Grupo de edad 20-39: 40 personas
- Grupo de edad 40-59: 60 personas
- Grupo de edad 60-79: 50 personas
Esta tabla no coincide con los datos del histograma, ya que el valor del grupo de edad 20-39 es incorrecto.
-
Cuarta tabla:
- Grupo de edad 0-19: 60 personas
- Grupo de edad 20-39: 20 personas
- Grupo de edad 40-59: 40 personas
- Grupo de edad 60-79: 50 personas
Esta tabla no coincide con los datos del histograma, ya que el valor del grupo de edad 0-19 es incorrecto.
Por lo tanto, la primera tabla de frecuencia es la que representa los datos del histograma con precisión.
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