# Frequency distribution

Frequency distribution is the values and their frequencies in the particular sample space. It displays the organized frequency counts so that the given information is easily understandable. We know that frequency denotes how many times a particular event occurs.

**Example:**

Mathew played soccer on

- Sunday morning
- Sunday evening

- Monday evening
- Tuesday evening

Here the frequency for playing soccer on Sunday is **2**, on Monday and Tuesday are **1** each.

### Frequency distribution table

We know the distribution table shows the various outcomes in a sample space.

**Example:**

The outcomes of a survey which is conducted how many cars are used in each house in one particular area which consists of 25 houses is as follows:

3,2,1,1,1,0,2,1,0,3,0,1,0,2,2,1,1,0,0,2,1,1,3,3,1.

To form the table first let us arrange the outcomes in frequencies.

- Frequency for having no car (that is denoted by 0) = 6
- Frequency for having 1 car = 10
- Frequency for having 2 cars = 5
- Frequency for having 3 cars = 4

Now let us arrange the above information in table.

From the above table we can say the event **1** (having only one car) has the highest frequency as **10**.

**Example:**

The number goals scored by a team in the last 15 matches are:

4, 3, 2, 5, 2, 1, 2, 3, 5, 1, 1, 3, 4, 6, 2.

Let us arrange the outcomes:

- Number of days only one goal is scored = 3
- Number of days 2 goals are scored = 4
- Number of days 3 goals are scored = 3
- Number of days 4 goals are scored = 2
- Number of days 5 goals are scored = 2
- Number of days 6 goals are scored = 1

Now let us table the above information in the table.

The highest frequency is 4 for the event of scoring 2 goals. The lowest frequency is 1 for the event of scoring 6 goals.

The above examples are table for small groups. If we have a large sample space we can divide the events in class intervals to form the frequency table. That we will see in the next page.

** **Now let us some practice problems to form the table for the un grouped data.

**Practice problems:**

Form the distribution table for the given data.

1. Number of vehicles in each house in a street.

1, 3, 4, 1, 0, 2, 3, 1, 3, 0, 2,1, 2, 3, 1.

2. Number of students in each class in a school.

20, 22, 21, 21, 22, 21, 20, 22, 23, 22.

Basic statistics

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