Two-way frequency tables worksheet for Pre-Algebra

What you can put on this worksheet

Fill in the missing value

Fill in the missing value.
$\overline{)\begin{array}{lccc}& \text{Electric}& \text{Gas}& \text{Total}\\ \text{Cars}& 13& 16& 29\\ \text{Trucks}& \mathrm{\_}\mathrm{\_}& 11& 15\\ \text{Total}& 17& 27& 44\end{array}}$ → $4$

A fraction of the whole table

What fraction of the vehicles are Trucks and Electric?
$\overline{)\begin{array}{lccc}& \text{Electric}& \text{Gas}& \text{Total}\\ \text{Cars}& 13& 16& 29\\ \text{Trucks}& 4& 11& 15\\ \text{Total}& 17& 27& 44\end{array}}$ → $\frac{1}{11}$

A percent of the whole table

What percent of the vehicles are Trucks and Gas?
$\overline{)\begin{array}{lccc}& \text{Electric}& \text{Gas}& \text{Total}\\ \text{Cars}& 12& 33& 45\\ \text{Trucks}& 2& 3& 5\\ \text{Total}& 14& 36& 50\end{array}}$ → $6\mathrm{\%}$

A fraction of one row or column

What fraction of the Gas are Cars?
$\overline{)\begin{array}{lccc}& \text{Electric}& \text{Gas}& \text{Total}\\ \text{Cars}& 13& 16& 29\\ \text{Trucks}& 4& 11& 15\\ \text{Total}& 17& 27& 44\end{array}}$ → $\frac{16}{27}$

A row or column total as a percent

What percent of the pets are in the Indoor column?
Round to the nearest percent.
$\overline{)\begin{array}{lccc}& \text{Indoor}& \text{Outdoor}& \text{Total}\\ \text{Cats}& 24& 30& 54\\ \text{Dogs}& 5& 21& 26\\ \text{Total}& 29& 51& 80\end{array}}$ → $36\mathrm{\%}$

Is there an association?

Is there an association? Compare each row's
percent in the Indoor column.
$\overline{)\begin{array}{lccc}& \text{Indoor}& \text{Outdoor}& \text{Total}\\ \text{Cats}& 8& 32& 40\\ \text{Dogs}& 32& 8& 40\\ \text{Total}& 40& 40& 80\end{array}}$ → Yes: $20\mathrm{\%}$ of Cats and $80\mathrm{\%}$ of Dogs

Are the events independent?

Are the events “Drive” and “Seniors” independent?
Round each probability to the nearest hundredth before you compare.
$\overline{)\begin{array}{lcc}& \text{Drive}& \text{Bus}\\ \text{Juniors}& 20& 30\\ \text{Seniors}& 12& 8\end{array}}$ → No: $P($Drive$\mid$Seniors$)=0.60$, but $P($Drive$)=0.46$

Build the table from a description

70 sixth and seventh graders were asked whether they have a pet. 33 sixth graders have a pet, and 4 sixth graders do not have one. Of the seventh graders, 23 have one. Complete the two-way table.
$\overline{)\begin{array}{lccc}& \text{Pet}& \text{No pet}& \text{Total}\\ \text{Sixth graders}& & & \\ \text{Seventh graders}& & & \\ \text{Total}& & & \end{array}}$ → Sixth graders: $33$ have a pet, $4$ do not, $37$ in all. Seventh graders: $23$ have a pet, $10$ do not, $33$ in all. Totals: $56$ have a pet, $14$ do not, $70$ in all.

A percent of one row or column

What percent of the cars are hybrid? Round to the nearest tenth.
$\overline{)\begin{array}{lccc}& \text{Electric}& \text{Gas}& \text{Hybrid}\\ \text{Car}& 23& 24& 30\\ \text{Truck}& 5& 21& 24\end{array}}$ → $39.0\mathrm{\%}$