select the correct answer.\ntwenty students in class a and 20 students in class b were asked how many hours…

select the correct answer.\ntwenty students in class a and 20 students in class b were asked how many hours they took to prepare for an exam. the data sets represent their answers.\nclass a: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}\nclass b: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}\nwhich statement is true for the data sets?\na. the mean study time of students in class a is less than students in class b.\nb. the mean study time of students in class b is less than students in class a.\nc. the median study time of students in class b is greater than students in class a.\nd. the range of study time of students in class a is less than students in class b.\ne. the mean and median study time of students in class a and class b is equal.

select the correct answer.\ntwenty students in class a and 20 students in class b were asked how many hours they took to prepare for an exam. the data sets represent their answers.\nclass a: {2, 5, 7, 6, 4, 3, 8, 7, 4, 5, 7, 6, 3, 5, 4, 2, 4, 6, 3, 5}\nclass b: {3, 7, 6, 4, 3, 2, 4, 5, 6, 7, 2, 2, 2, 3, 4, 5, 2, 2, 5, 6}\nwhich statement is true for the data sets?\na. the mean study time of students in class a is less than students in class b.\nb. the mean study time of students in class b is less than students in class a.\nc. the median study time of students in class b is greater than students in class a.\nd. the range of study time of students in class a is less than students in class b.\ne. the mean and median study time of students in class a and class b is equal.

Answer

Answer:

B. The mean study time of students in Class B is less than students in Class A.

Explanation:

Step1: Calcular la media de Class A

Suma de los datos de Class A: $2 + 5+7 + 6+4 + 3+8 + 7+4 + 5+7 + 6+3 + 5+4 + 2+4 + 6+3 + 5=100$ Media de Class A: $\frac{100}{20}=5$

Step2: Calcular la media de Class B

Suma de los datos de Class B: $3 + 7+6 + 4+3 + 2+4 + 5+6 + 7+2 + 2+2 + 3+4 + 5+2 + 2+5 + 6=80$ Media de Class B: $\frac{80}{20}=4$ Como $4<5$, la media de Class B es menor que la de Class A.

Step3: Comprobar otras opciones (opcional)

  • Mediana:
    • Ordenar Class A: $2,2,3,3,3,4,4,4,4,5,5,5,5,6,6,6,7,7,7,8$. Median = $\frac{5 + 5}{2}=5$
    • Ordenar Class B: $2,2,2,2,2,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7$. Median = $\frac{4+4}{2}=4$. La mediana de Class B es menor que la de Class A.
  • Rango:
    • Rango de Class A: $8 - 2=6$
    • Rango de Class B: $7 - 2=5$. El rango de Class A es mayor que el de Class B. Así, la única opción correcta es B.