some customers at a grocery store and at a bodega take a survey about whether they prefer corn or potatoes…

some customers at a grocery store and at a bodega take a survey about whether they prefer corn or potatoes. the table shows the results. the manager of the bodega wants to make a relative frequency table using column totals. complete each column. round to the nearest hundredth. you can use a calculator to help.

some customers at a grocery store and at a bodega take a survey about whether they prefer corn or potatoes. the table shows the results. the manager of the bodega wants to make a relative frequency table using column totals. complete each column. round to the nearest hundredth. you can use a calculator to help.

Answer

Explanation:

Step1: Calculate the relative frequency for "Potatoes" in "Grocery Store" column

The formula for relative frequency (using column totals) is ( \text{Relative Frequency}=\frac{\text{Value in cell}}{\text{Column Total}} ). For the "Potatoes - Grocery Store" cell, the value in the cell is ( 19 ) and the column total for "Grocery Store" is ( 54 ). So, ( \frac{19}{54}\approx 0.35 ).

Step2: Calculate the relative frequency for "Corn" in "Grocery Store" column

Using the formula ( \text{Relative Frequency}=\frac{\text{Value in cell}}{\text{Column Total}} ), with value ( 35 ) and column - total ( 54 ), we get ( \frac{35}{54}\approx 0.65 ).

Step3: Calculate the relative frequency for "Corn" in "Bodega" column

Using the formula ( \text{Relative Frequency}=\frac{\text{Value in cell}}{\text{Column Total}} ), with value ( 23 ) and column - total ( 68 ), we have ( \frac{23}{68}\approx 0.34 ).

Step4: Calculate the relative frequency for "Potatoes" in "Bodega" column

Using the formula ( \text{Relative Frequency}=\frac{\text{Value in cell}}{\text{Column Total}} ), with value ( 45 ) and column - total ( 68 ), we get ( \frac{45}{68}\approx 0.66 ).

Step5: Calculate the relative frequency for "Total" (Corn)

Using the formula ( \text{Relative Frequency}=\frac{\text{Value in cell}}{\text{Column Total}} ), with value ( 58 ) and grand - total ( 122 ), we have ( \frac{58}{122}\approx 0.48 ).

Step6: Calculate the relative frequency for "Total" (Potatoes)

Using the formula ( \text{Relative Frequency}=\frac{\text{Value in cell}}{\text{Column Total}} ), with value ( 64 ) and grand - total ( 122 ), we get ( \frac{64}{122}\approx 0.52 ).

Answer:

Grocery Store Bodega Total
(0.65) (0.34) (0.48)
(0.35) (0.66) (0.52)
(1.00) (1.00) (1.00)