Question

Consider these sample data:$x_1=12,x_2=8,x_3=9,x_4=17$

a) Find $n$.

b) Compute $\sum x_i$.

c) Determine$\stackrel{-}{x}$.

Short answer

$$\begin{gathered} a)4 \\ b)46 \\ c)11.5 \end{gathered}$$

Step-by-step solution

Step 1. Given information.   

Consider these sample data:$x_1=12,x_2=8,x_3=9,x_4=17$

Step 2. Find n.

The sample size is$n=4$.

Step 3. Compute ∑xi.

$$\begin{gathered} \sum _{i=4}{x}_i=x_1+x_2+x_3+x_4 \\ =12+8+9+17 \\ =46 \end{gathered}$$

Step 4. Compute x-.

$$\begin{gathered} \stackrel{-}{x}=\frac{{\displaystyle \sum _{i=4}{x}_i}}{n} \\ =\frac{46}{4} \\ =11.5 \end{gathered}$$