Home | Online Math Tutoring | 8th Grade Math Tutoring | **Interpreting Two-way Tables**

In statistics, a two-way table is a table used to give information about the frequency of two variables. The rows of table are used to give information about one of the variable involved & the columns give information about the other.

This data obtained from the two-way tables helps us to extract or obtain extra information which can help us to answer many related questions and analyse the given problem.

The **horizontal lines** forming the table constitute the** rows** & the **vertical lin**es are said to form the **columns**.

Now, we consider one **example**.

Example:

Let us consider the two- way table giving the information about the number of boys & girls of grade 7 students who play football & cricket. The **rows** give the frequency i.e**. number of students’** **gender wise** whereas the **columns** give the frequency i.e**. number of students** **as per the game played by them.**

So now we can have the following information from the given table –

- If we take a look on the rows, we have
**total number of boys**in the class as**60**. Out of these, 35 play football & 25 play cricket.

** Total number of Girls** in the class is 40, out of which 17 play football & 23 play cricket.

- If we take a look on the Columns, we have
**total number of students playing football**in the class as**52**. Out of these, 35 boys play football & 17 girls play football.

** Total number of students playing cricket** in the class is 48. Out of these, 25 are boys & 23 are girls.

**Total number of students in the class**can be obtained by finding the sum of total number of boys & total number of girls i.e. (60 + 40) =**100.**

The same can also be obtained by finding the sum of total number of students playing football & total number of students playing cricket i.e. (52+ 48) =100.

- The number of students playing football is 52, which is more than the number of students playing cricket i.e. Hence
**, football is preferred over cricket**.

- The number of boys playing football is 35 & number of boys playing cricket is 25. Hence
**boys prefer to play football**.

- The number of girls playing football is 17 & number of girls playing cricket is 23. Hence
**Girls prefer to play cricket over football.**

From the above example, we see that the two-way table is a table, whose rows & columns give us information which can be used to answer many other indirect questions & analyse many other dependent things.

**CHECK POINT**

**Use the information given in two-way tables to answer the questions given below.**

- An information regarding the number of persons in a group drinking tea, coffee & cold drinks is collected & presented in the form of a table.

- How many men are in the group?
- How many women are in the group?
- How many persons are there in the group?
- How many persons drink tea?
- How many persons drink coffee?
- How many persons drink cold drinks?
- Which is the most preferred drink: tea, coffee, cold drink?
- Which is the least preferred drink: tea, coffee, cold drink?
- What do most of the men prefer to drink?
- What do most of the women prefer to drink?

##### Answer key

- 100
- 75
- 175
- 65
- 70
- 40
- Coffee
- Cold drink
- Coffee
- Tea

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