Complete parts $($a$)$ and $($b$)$ below.

Click the icon to view the number of motorcycle accidents for different road types.

a$.$ Without doing any calculations, make an educated guess at which of the two data sets, built$-$up or non$-$built$-$up$,$ has the greater variation.

The data set has greater variation, because the data set

b$.$ Find the range and sample standard deviation of each of the two data sets. Compare your results here to the educated guess that you made in part $($a$).$

Find the range of the two data sets.

The range of accidents on built$-$up roads is

The range of accidents on non$-$built$-$up roads is

$($Type whole numbers.$)$

Find the sample standard deviation of the two data sets.

The standard deviation for the number of accidents on built$-$up roads is

The standard deviation for the number of accidents on non$-$built$-$up roads is

$($Type integers or decimals. Round to one decimal place as needed.$)$

Compare your results to the educated guess that you made in part $($a$).$

The standard deviation for built$-$up roads is the standard deviation for non$-$built$-$up roads. This is with the educated guess in part $($a$)$ because the non$-$built$-$up data set

Motorcycle Accidents By Road Type

$\backslash$table$[[$Day$,$Built$-$up$,$Non$-$built$-$up$],[$Monday$,77,74],[$Tuesday$,103,56],[$Wednesday$,79,59],[$Thursday$,92,60],[$Friday$,104,51],[$Saturday$,92,86],[$Sunday$,73,105]]$