**Making a two way table :**

The frequency is the number of times an event occurs. A two-way table shows the frequencies of data that is categorized in two ways. The rows indicate one categorization and the columns indicate another.

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 "Making a two way table".

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