This document discusses frequency distribution tables and includes three examples. It summarizes the key steps in creating frequency distribution tables: (1) grouping data into class intervals, (2) tallying the frequency of values within each interval, and (3) constructing a table with the class intervals, tallies, and frequencies. Three examples are provided that demonstrate creating frequency distribution tables using both inclusive and exclusive class intervals for sets of student test scores and worker hours. The document concludes with multiple choice questions to test understanding of class intervals, boundaries, and other concepts relating to frequency distribution tables.
3. LEARNING OBJECTIVES
โข The aim of the chapter is to make students to
present data in textual and Tabular format including
the technique of creating frequency distribution
and working out bi-variate distribution table
4. LEARNING OUTCOMES
โข After the Chapter, The Students Shall be able to
Describe and Understand the Rules & Types of
Classification, Frequency Distribution, Class Interval
& its Types, Basic Principles Tabulation and The
Sorting of Data.
5. SESSION - 12
โข Preparation of Frequency Distribution Table -
Continuous Series(Inclusive) Problems -03
6. EXAMPLE 1
Consider the following marks obtained in Mathematics
by 60 students of Class X : taking 10 Class interval under
inclusive method, Ex 0-9, 10-19, Etc.,
21, 10, 30, 22, 33, 5 , 37, 12, 25, 42, 15, 39, 26, 32, 18,
27, 28, 19, 29, 35, 31, 24,36, 18, 20, 38, 22, 44, 16, 24,
10, 27, 39, 28, 49, 29, 32, 23, 31, 21, 34, 22, 23, 36, 24,
36, 33, 47, 48, 50 , 39, 20, 7, 16, 36, 45, 47, 30, 22, 17.
Construct grouped frequency distribution table.
7. CONTD
CLASS INTERVAL TALLY MARKS FREQUENCY
0-9 II 02
10-19 IIII IIII 10
20-29 IIII IIII IIII IIII I 21
30-39 IIII IIII IIII IIII 19
40-49 IIII II 07
50-59 I 01
TOTAL 60
8. EXAMPLE 2
Form a frequency distribution table for the following
data related to a certain factory with regard to hours
spent by 50 workers in a month.
111, 176, 162, 158, 156, 109, 165, 129, 115, 179
166, 134, 195, 152, 072, 095, 088, 043, 031, 063
131, 157, 168, 125, 165, 147, 117, 150, 105, 142
104, 204, 162, 149, 080, 114, 070, 122, 094, 144
141, 145, 188, 185, 198, 088, 040, 123, 204, 149
Taking class interval , 30-54, 55-79 Etc
9. CONTD
CLASS INTERVAL TALLY MARKS FREQUENCY
30-54 III 03
55-79 III 03
80-104 IIII I 06
105-129 IIII IIII 10
130-154 IIII IIII I 11
155-179 IIII IIII I 11
180-204 IIII I 06
TOTAL 50
10. EXAMPLE 3
Classify the following data by taking class intervals such
as 20-24, 25-29, 30-34 etc.,
35, 47, 35, 59, 45, 56, 53, 20, 22, 47
30, 46, 35, 32, 47, 41, 33, 31, 42, 59
49, 36, 41, 45, 41, 27, 35, 36, 24, 53
21, 47, 37, 26, 27, 51, 38, 46, 26, 56
11. CONTD
CLASS INTERVAL TALLY MARKS FREQUENCY
20-24 IIII 04
25-29 IIII 04
30-34 IIII 04
35-39 IIII III 08
40-44 IIII 04
45-49 IIII IIII 09
50-54 III 03
55-59 IIII 04
TOTAL 40
12. SUMMARY
As we already discussed and learnt today on
Classifications and Tabulation as below
โข Preparation of Frequency Distribution Table -
Continuous Series(Inclusive) Problems -03
13. MCQs
1 . The extreme values used to describe the different
classes in a frequency distribution are called:
(a) Class intervals
(b) Class boundaries
(c) Class limits
(d) Cumulative frequency
2 . If in a frequency table, either the lower limit of first
class or the upper limit of last class is not a fixed number,
then classes are called:
(a) One-way classes
(b) Two-way classes
(c) Discrete classes
(d) Open-end classes
14. MCQs
3 . The class boundaries can be taken when the nature
of variable is:
(a) Discrete
(b) Continuous
(c) Both (a) and (b)
(d) Qualitative
4 . Class boundaries are also called:
(a) Mathematical limits
(b) Arithmetic limits
(c) Geometric limits
(d) Qualitative limits
15. MCQs
5 . The average of lower and upper class limits is called:
(a) Class boundary
(b) Class frequency
(c) Class mark
(d) Class limit
17. REFERENCES
โข S.P. Gupta, Sultan Chand and Sons Publications, 2017
โข S. C. Gupta, Himalaya Publishing House,
Fundamentals of Statistics, 2018
โข R.S.N Pillai and Bagavathi, S.Chand publications, 2010
