Question

2. For each of the next dot plots, guess the approximate location of the mean by thinking aboutwhere the balance point for the data would be. Then check how close your guess was bycalculating the mean.0 1 2 3 4 5 6 7 8 9 1001235 6 7 89 10012569 10

Answer 1

1) The plot looks like the fulcrum would balance at point 4

After calculation, the mean is 4.

2) The plot looks like the fulcrum would balance at point 3;

After calculation, the mean is 3.8.

3) The plot looks like the fulcrum would balance at point 8;

After calculation, the mean is 7.2

Step-by-step explanation

From the given data;

1) The plot looks like the fulcrum would balance at point 4.

the mean

`\begin{gathered} mean(x)=((2+2+2)+(7+7))/(5) \\ =(20)/(5) \\ =4 \end{gathered}`

2) The plot looks like the fulcrum would balance at point 2;

The mean;

`\begin{gathered} x=(0+1+1+2+2+2+3+3+4+10)/(10) \\ =(38)/(10) \\ =3.8 \end{gathered}`

3) The plot looks like the fulcrum would balance at point 8;

`\begin{gathered} x=(0+6+7+7+8+8+8+9+9+10)/(10) \\ =(72)/(10) \\ =7.2 \end{gathered}`