Subscribe to our YouTube channel for the latest videos, updates, and tips.


Frequency Distribution

In 7ᵗʰ grade and 8ᵗʰ grade frequency distribution, we will cover presentation of data, frequency and also about frequency distribution using the examples.


Presentation of Data: After collecting the data, it is condensed in the tabular form in order to study its features, Such an arrangement is called presentation of data.


Observation: Each entry collected as a numerical fact in the given data is called the observation.


Frequency: It is quite possible that in many situations two or more observations are identical, thus, the number of times a particular observation occurs is known as frequency.


For Example:

(i) If 4 students get 68 marks, then we say that the frequency of 68 is 4.

If this is done for all the observations and the data is rearranged from the lowest to the highest value; frequency distribution is obtained.

(ii) If 3 girls have height 156cm, then we say that frequency of 156 cm is 3.



Frequency Distribution Table:

The table in which such a distribution of frequencies is given is called the frequency distribution table.

For Example:

Frequency distribution of marks obtained by 15 students of class VIII-A in mathematics is given.

Marks Obtained Frequency
29 1
31 3
34 2
37 6
46 1
48 1
49 1
Total 15


Note: The number of times a particular observation occurs in a given data is called its frequency of an observation:


What is frequency distribution?

The tabular arrangement of data showing the frequency of each observation using tally marks or by condensing the data into classes or groups is called frequency distribution.

1. Suppose we make a survey of 20 families of a locality and find out the number of children in each family. 

Let the observations be

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

State the frequency of each observation.

Solution:

Arranging the data in ascending order, we get the observations as

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

We find that

      1 occurs 6 times;

      2 occurs 10 times;

    and 3 occurs 4 times.

We say that the frequency of families having 1 child is 6,

the frequency of families having 2 children is 10,

and the frequency of families having 3 children is 4.

We may represent the above data in a tabular form, showing the frequency of each observation.

This tabular form of representation is called frequency distribution.

For counting, we use tally marks |||| and the fifth tally mark is entered as

by crossing diagonally the four tally marks already entered.

Thus, the frequency distribution table of the above data may be presented as given below.

Frequency Distribution Table

Frequency Distribution


 Data Handling

Data Handling

Frequency Distribution

Grouping of Data


 Data Handling - Worksheet

Worksheet on Data Handling









8th Grade Math Practice 

From Frequency Distribution to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Average | Word Problem on Average | Questions on Average

    May 17, 25 05:37 PM

    In worksheet on average interest we will solve 10 different types of question. Find the average of first 10 prime numbers. The average height of a family of five is 150 cm. If the heights of 4 family

    Read More

  2. How to Find the Average in Math? | What Does Average Mean? |Definition

    May 17, 25 04:04 PM

    Average 2
    Average means a number which is between the largest and the smallest number. Average can be calculated only for similar quantities and not for dissimilar quantities.

    Read More

  3. Problems Based on Average | Word Problems |Calculating Arithmetic Mean

    May 17, 25 03:47 PM

    Here we will learn to solve the three important types of word problems based on average. The questions are mainly based on average or mean, weighted average and average speed.

    Read More

  4. Rounding Decimals | How to Round a Decimal? | Rounding off Decimal

    May 16, 25 11:13 AM

    Round off to Nearest One
    Rounding decimals are frequently used in our daily life mainly for calculating the cost of the items. In mathematics rounding off decimal is a technique used to estimate or to find the approximate

    Read More

  5. Worksheet on Rounding Off Number | Rounding off Number | Nearest 10

    May 15, 25 05:12 PM

    In worksheet on rounding off number we will solve 10 different types of problems. 1. Round off to nearest 10 each of the following numbers: (a) 14 (b) 57 (c) 61 (d) 819 (e) 7729 2. Round off to

    Read More