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SPANISH: Ejercicio 1: En una clase de Fsica, 40 alumnos obtuvieron las siguientes puntuaciones (sobre 50). 49, 48, 47, 44, 42, 41, 39, 39, 38,

SPANISH:

Ejercicio 1: En una clase de Fsica, 40 alumnos obtuvieron las siguientes puntuaciones (sobre 50).

49, 48, 47, 44, 42, 41, 39, 39, 38, 38, 38, 37, 36, 36, 35, 35, 34, 34, 34, 33, 32, 32, 31, 29, 28, 28, 27, 26, 25, 24, 23, 22, 20, 17, 15, 15, 13, 13, 11, 10

  1. Calcula una tabla de frecuencias para cada posible calificacin, es decir, la cantidad de estudiantes que obtienen una determinada nota.
  2. Calcula la tabla de frecuencias relativas, obtenida cada frecuencia entre el nmero de datos. La suma de estas frecuencias debe ser 1.
  3. Utilizando las frecuencias parciales como funcin de densidad, calcula la esperanza y varianza.
  4. Obtn la media y varianza de los datos usando funciones predeterminadas (mean y var) y compara los resultados con lo obtenido en el punto anterior.
  5. Encuentra los cuartiles utilizando la funcin de distribucin (frecuencias acumuladas).

ENGLISH:

Exercise 1: In a physics class, 40 students obtained the following scores (out of 50).

49, 48, 47, 44, 42, 41, 39, 39, 38, 38, 38, 37, 36, 36, 35, 35, 34, 34, 34, 33, 32, 32, 31, 29, 28, 28, 27, 26, 25, 24, 23, 22, 20, 17, 15, 15, 13, 13, 11, 10

1. Calculates a frequency table for each possible grade, i.e., the number of students who obtain a given grade.

2. Calculate the relative frequency table, obtaining each frequency by the number of data. The sum of these frequencies must be 1.

3. Using the partial frequencies as a density function, calculate the expectation and variance.

4. Obtain the mean and variance of the data using predetermined functions (mean and var) and compare the results with those obtained in the previous point.

5. Find the quartiles using the distribution function (cumulative frequencies).

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