CREATE A TWO WAY TABLE WORKSHEET

Question :

A survey was made among 150 town residents found that 40% own a car. Of those who own a car, 75% shop at the farmer’s market. Of those who do not own a car, 25% shop at the farmer’s market. Create a two way table for the above data.

Detailed Answer Key

Question :

A survey was made among 150 town residents found that 40% own a car. Of those who own a car, 75% shop at the farmer’s market. Of those who do not own a car, 25% shop at the farmer’s market. Create a two way table for the above data.

Answer : 

Step 1 :

Find the number of residents who own a car. 

40% of the residents who own a car. 

So, no. of residents who own a car is 

=  40% ⋅ 150

=  0.4 ⋅ 150

=  60

Step 2 :

Find the number of residents who do own a car. 

No. of residents who do not own a car is 

=  Total no. of residents - No. of residents who own a car

=  150 - 60

=  90

Step 3 :

Find the number of residents who own a car, shop at the farmer's market. 

75% of the residents who own a car, shop at the farmer's market.  

So, no. of residents who own a car, shop at the farmer's market is 

=  75% ⋅ 60

=  0.75 ⋅ 60

=  45

Step 4 :

Find the number of residents who own a car, do not shop at the farmer's market. 

No. of residents who own a car, do not shop at the farmer's market is 

=  60 - 45

=  15

Step 5 :

Find the number of residents who do not own a car, shop at the farmer's market. 

25% of the residents who do not own a car, shop at the farmer's market.  

So, no. of residents who do not own a car, shop at the farmer's market is 

=  25% ⋅ 90

=  0.25 ⋅ 90

=  22.5  ≈  23

Step 6 :

Find the number of residents who do not  own a car, do not shop at the farmer's market. 

No. of residents who do not own a car, do not shop at the farmer's market is 

=  90 - 23

=  67

Step 7 :

Make a table by taking the categories "Owning a car" and "Not owning a car" in rows and the categories "Shopping at farmer's market" and "Not shopping at farmer's market" in columns as given below.

Step 8 :

Fill the empty cells of the above table using the results received from step 1 to step 7. 

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