frequency distribution

1. Frequency
Distribution
Grouped & Ungrouped
NOUFALNAHEEM KK
MTTM

2. Frequency
distribution…………
 Is a statistical method for summarizing
the data’s.
It orderly arranging data's, after
collecting.
when the data are grouped into
classes of appropriate size indicating
the number of observations in each
class we get a frequency distribution.

3. Frequency
distribution…………
 A statistical data consist of a list of
numbers related to a research, among
those numbers , few may be repeated
twice and more than twice.
 The repeating numbers in a data set is
termed as ‘frequency’; that
frequencies are listed in a table is
known as ‘frequency
distribution/table’.

4. Frequency
distribution…………
 Objectives
 1-To estimate the frequencies of the
population .
 2-To facilitate the analysis of data.
 3-To facilitate computation of various
statistical measures.

5. Frequency distribution…………
 Components ……
 1-class
 Groups according to size of data.
 2-class limit
 The smallest and largest possible
measurements in each classes.
 *lower limit
 *upper limit

6. Frequency distribution…………
 3-class mark
 Also known as middle value.
 ½(lower limit + upper limit)
 4-Class interval
 Upper limit - lower limit
5-class boundaries

7. Frequency
distribution…………
 6-Class frequency
 The number observations falling in
each class.
 7-Tally mark
 Strokes against each frequency
observed.

8. Frequency distribution…………
x Frequency Tally
10-20 2 11
20-30 5 1111
30-40 5 1111
40-50 4 1111
classe
s
Class limit
Lower limit 40
Upper limit 50
Class mark
½(lower +upper)
½(40+50)
0.5*90=45

9. Frequency distribution…………
 Grouped frequency distribution.
 based on classes, forming frequency
distribution table.
 Example:
 From the following data construct a
grouped frequency distribution.
 3,8,5,2,15,16,13,12,10,19,18,11

10. Frequency
distribution…………
Classes Frequency Tally
0-5 2 11
5-10 2 11
10-15 4 1111
15-20 4 1111
3,8,5,2,15,16,13,12,10,19,18,11

11. Frequency distribution…………
 Ungrouped frequency distribution
 These data’s not arranged in
group, the are individual series. it
arranging in ascending order.
 Example:
 From the following ,make a ungrouped
frequency distribution.
 11,12,5,3,11,13,17,13,5,5,11,5

12. Frequency distribution…………
 11,12,5,3,11,13,17,13,5,5,11,5
X Frequency Tally
3 1 1
5 4 1111
11 3 111
12 1 1
13 2 11
17 1 1

13. NOUFALNAHEEM KK
MTTM