Question

You want to know the mean number of hour’s music students at your school practice each week. At each of three music classes you randomly survey $10$ students. Your results are shown. Use all three samples to make one estimate for the mean number of hour’s music students practice each week

$$\begin{gathered} \mathit{H}\mathit{o}\mathit{u}\mathit{r}\mathit{s}\mathbf{}\mathit{P}\mathit{r}\mathit{a}\mathit{c}\mathit{t}\mathit{i}\mathit{s}\mathit{e}\mathit{d}\mathbf{}\mathit{E}\mathit{a}\mathit{c}\mathit{h}\mathbf{}\mathit{W}\mathit{e}\mathit{e}\mathit{k} \\ A:6,5,5,6,4,6,8,5,2,6 \\ B:0,6,6,5,4,5,6,3,4,9 \\ C:4,5,6,4,3,2,2,3,12,1 \end{gathered}$$

Answer 1

Step 1:Mean value of hours for number of students practiced for each week of class A
Mean value of hours for number of students practiced for each week of class A
$$\begin{gathered} =(6+5+5+6+4+6+8+5+2+6)/10 \\ =58÷10 \\ =5.8 \end{gathered}$$

Step 2: Mean value of hours for number of students practiced for each week of class B
Mean value of hours for number of students practiced for each week of class B
$$\begin{gathered} =(0+6+6+5+4+5+6+3+4+9)/10 \\ =48÷10 \\ =4.8 \end{gathered}$$

Step 3:Mean value of hours for number of students practiced for each week of class C
Mean value of hours for number of students practiced for each week of class C
$$\begin{gathered} =(4+5+6+4+3+2+2+3+12+1)/10 \\ =42÷10 \\ =4.2 \end{gathered}$$

Mean value of hours for number of students practiced for each week for all three classes A,B,C

$$\begin{gathered} =(5.8+4.8+4.2)÷3 \\ =14.8÷3 \\ =4.93 \end{gathered}$$

Hence,Mean value of hours for number of students practiced for each week for all three classes A,B,C

$=4.93$