Question

consider these sample data: x_1 = 10, x_2 = 8, x_3 = 3, x_4 = 15. a. find n. b. compute \\(\sum x_i\\). c. determine \\(\bar{x}\\).

Explanation:

Step1: Count data points for n

The sample data has 4 values ($x_1,x_2,x_3,x_4$), so $n = 4$.

Step2: Compute sum of data points

$\sum x_i=x_1 + x_2+x_3+x_4=10 + 8+3+15=36$.

Step3: Calculate the mean

The formula for the sample - mean $\bar{x}=\frac{\sum x_i}{n}$. Substituting $\sum x_i = 36$ and $n = 4$, we get $\bar{x}=\frac{36}{4}=9$.

Answer:

a. $n = 4$
b. $\sum x_i=36$
c. $\bar{x}=9$