Answer:
Puntuación media = 42.83
La clase del puntaje promedio es 40-49
Explanation:
In Spanish/En español
El puntaje promedio para los datos agrupados se obtiene utilizando el método del punto medio. Es decir, el punto medio de cada clase se usa para representar el valor de la clase en el cálculo del promedio.
Clase | f | punto medio
10-19 | 1 | 14.5
20-29 | 8 | 24.5
30-39 | 10 | 34.5
40-49 | 9 | 44.5
50-59 | 8 | 54.5
60-69 | 4 | 64.5
70-79 | 2 | 74.5
El promedio es la suma de variables dividida por el número de variables.
Promedio = (Σfx)/(Σf)
Σf = 1+8+10+9+8+4+2 = 42
Σfx = (1×14.5) + (8×24.5) + (10×34.5) + (9×44.5) + (8×54.5) + (4×64.5) + (2×74.5) = 1799
Promedio = (1799/42) = 42.833
La clase del puntaje promedio es 40-49
¡¡¡Espero que esto ayude!!!
English Translation
In a test carried out on a group of 42 people, the scores shown in the table have been obtained. Calculate the average score and give the respective conclusion class f 10-19 20-29 30-39 40-49 50-59 60-69 70-79 n fi 1 8 10 9 8 4 2
Solution
The average score for grouped data is obtained using the midpoint method. That is, the midpoint of each class is used to represent the value of the class in the calculation of the average.
Class | f | midpoint
10-19 | 1 | 14.5
20-29 | 8 | 24.5
30-39 | 10 | 34.5
40-49 | 9 | 44.5
50-59 | 8 | 54.5
60-69 | 4 | 64.5
70-79 | 2 | 74.5
The average is the sum of variables divided by the number of variables
Average = (Σfx)/(Σf)
Σf = 1+8+10+9+8+4+2 = 42
Σfx = (1×14.5) + (8×24.5) + (10×34.5) + (9×44.5) + (8×54.5) + (4×64.5) + (2×74.5) = 1799
Average = (1799/42) = 42.833
The class of the average score is 40-49.
Hope this Helps!!!
