Step 1
Draw a frequency distribution table from the dot plot
Step 2:
Step 3:
[tex]\begin{gathered} Mean\text{ with the youngest included } \\ =\text{ }\frac{19\text{ + 45+ 46+46+47+47+48+48+48+49+50+51+53}}{13} \\ =\text{ 45.9} \\ Mean\text{ without the youngest} \\ =\frac{\text{45+46+46+47+47+48+48+48+49+50+51+53}}{12} \\ =\text{ 48.17} \end{gathered}[/tex]
Step 4:
Median with the youngest included = 48
[tex]Meadian\text{ without the youngest = }\frac{48+48}{2}=\frac{96}{2}=\text{ 48}[/tex]
Final answer
If the youngest member leaves the club, the mean age of the club members would increase and the median age would stay the same.
