# CREATE A TWO WAY TABLE WORKSHEET

## About "Create a two way table worksheet"

Create a two way table worksheet :

Worksheet given in this section is much useful to the students who would like to practice problems on two-way table which shows the frequencies of data that is categorized in two ways. The rows indicate one categorization and the columns indicate another.

## 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.

## Create a two way table worksheet - Solution

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.

Solution :

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.

After having gone through the stuff given above, we hope that the students would have understood "Create a two way table worksheet ".

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