Question

3b)
suppose a sample consists of the following data values. what is the sample mean?
6, 7, 3, 9, 2, 4, 5, 9, 9, 3, 7, 8

choice
a. 8
b. 5
c. 6
d. 7

Explanation:

Step1: Sumar los datos

Sumamos todos los valores: \(6 + 7 + 3 + 9 + 2 + 4 + 5 + 9 + 9 + 3 + 7 + 8\). Calculando: \(6+7 = 13\), \(13+3 = 16\), \(16+9 = 25\), \(25+2 = 27\), \(27+4 = 31\), \(31+5 = 36\), \(36+9 = 45\), \(45+9 = 54\), \(54+3 = 57\), \(57+7 = 64\), \(64+8 = 72\).

Step2: Contar el número de datos

Hay 12 datos (contando cada valor: 6,7,3,9,2,4,5,9,9,3,7,8).

Step3: Calcular la media

La fórmula de la media muestral es \(\bar{x}=\frac{\sum x}{n}\), donde \(\sum x = 72\) y \(n = 12\). Entonces \(\bar{x}=\frac{72}{12}=6\).

Answer:

C. 6