Question

Consider these sample data: $x_1=1,x_2=7,x_3=4,x_4=5,x_5=10$

a) Find role="math" localid="1650821862719" $n$

b) Compute role="math" localid="1650822690845" $\sum x_i$

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

Short answer

$$\begin{gathered} a)5 \\ b)27 \\ c)5.4 \end{gathered}$$

Step-by-step solution

Step 1. Given information.   

Consider these sample data:$x_1=1,x_2=7,x_3=4,x_4=5,x_5=10$

Step 2. Find  n.

The sample size is $n=5$.

Step 3. Compute ∑xi.

$$\begin{gathered} \sum _{i=5}{x}_5=x_1+x_2+x_3+x_4+x_5 \\ =1+7+4+5+10 \\ =27 \end{gathered}$$

Step 4. Compute x-.

$$\begin{gathered} \stackrel{-}{x}=\frac{{\displaystyle \sum _{i=5}}{x}_i}{n} \\ =\frac{27}{5} \\ =5.4 \end{gathered}$$