Suppose you are$$performing parab shooting experiments$$lick and throw a

projectile with initial velocity v$0$and with a$$angle$\backslash$theta $=45$O$.$Then measure the distance

horizontal where the projectile lands and obtains the following data$\{28,3\mathrm{<font><font>0</font></font>}<font><font>,</font></font>\mathrm{<font><font>2</font></font>}7<font><font>,</font></font>\mathrm{<font><font>2</font></font>}\mathrm{<font><font>8</font></font>}<font><font>,</font></font>\mathrm{<font><font>2</font></font>}9<font><font>,</font></font>\mathrm{<font><font>3</font></font>}\mathrm{<font><font>2</font></font>}<font><font>,</font></font>\mathrm{<font><font>2</font></font>}\mathrm{<font><font>9</font></font>}\}$in

meters. Calculate the average and uncertainty at this distance. This horizontal distance

$($known as range R$)$it is calculated$$orically with the following f$$ormula:

R $<font><font>=</font></font>$in$\mathrm{<font><font>2</font></font>}$

$\mathrm{<font><font>0</font></font>}$ sin $\mathrm{<font><font>\backslash </font></font>}$theta

$\mathrm{<font><font>2</font></font>}$g

Calculate the mean and uncertainty of the initial velocity.