frequency distribution table 3

1. PROGRAMME B.COM
SUBJECT
QUANTITATIVE TECHNIQUE – I
SEMESTER III
UNIVERSITY VIJAYANAGAR SRI
KRISHNADEVARAYA UNIVERSITY,
BALLARI
SESSION 10

2. RECAP
• Preparation of Frequency Distribution Table Discrete
Series Problems -- 02

3. LEARNING OBJECTIVES
• 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
• 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 - 10
• Preparation of Frequency Distribution Table -
Continuous Series Problems ----------- 01

6. CONTINUOUS FREQUENCY DISTRIBUTION
• In statistics Frequency distribution continuous is an
arrangement of the values that one or more variables
take in a sample.
• Each entry in the table contains the frequency or count
of the occurrences of values within a particular group
or interval, and in this way, the table summarizes the
distribution of values in the sample.

7. CONTD
• Data collected from tests and experiments may have
little meaning to the investigator until they have been
arranged or classified in some systematic way.
• The steps in grouping may be summarized as follows:
1. Decide on the number of classes.
2. Determine the range, i.e., the difference
between the highest and lowest observations in the
data.
3. Divide range by the number of classes to
estimate approximate size of the interval (h or C).

8. CONTD
4. Find the lower class limit of the lowest class and
add to it the class- interval to get the upper class
limit.
5. Obtain class-limits for the remaining classes by
adding the class-interval to the limits of the
previous class.
6. Count numbers of frequencies in each class and
check against the total number of observations

9. EXAMPLE
• Consider the following marks (out of 50) obtained in
Mathematics by 60 students of Class VIII:
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 taking
10 Class interval.

10. CONTD
CLASS INTERVAL TALLY MARKS FREQUENCY
0-10 II 02
10-20 IIII IIII 10
20-30 IIII IIII IIII IIII I 21
30-40 IIII IIII IIII IIII 19
40-50 IIII II 07
50-60 I 01
TOTAL 60

11. SUMMARY
As we already discussed and learnt today on
Classifications and Tabulation as below
• Preparation of Frequency Distribution Table -
Continuous Series Problems ----------- 01

12. MCQs
1 . The grouped data are called:
(a) Primary data
(b) Secondary data
(c) Raw data
(d) Difficult to tell
2 . A series of data with exclusive classes along with the
corresponding frequencies is called:
(a) Discrete frequency distribution
(b) Continuous frequency distribution
(c) Percentage frequency distribution
(d) Cumulative frequency distribution

13. MCQs
3 . In an exclusive classification, the limits excluded are
(a) Upper limits
(b) Lower limits
(c) Both lower and upper limits
(d) Either lower or upper limits
4 . Weights; 15-20, 20-25, 25-30, 30-35, 35-40
No.of items 10, 15, 30 , 10, 5,
The above series is categorized as:
(a) Continuous series
(b) Discrete series
(c) Time series
(d) Geometric series

14. MCQs
5 . The number of classes in a frequency distribution is
obtained by dividing the range of variable by the:
(a) Total frequency
(b) Class interval
(c) Mid-point
(d) Relative frequency

15. CONTD
ANSWERS
1. B
2. B
3. D
4. A
5. B

16. REFERENCES
• S.P. Gupta, Sultan Chand and Sons Publications, 2017
• S. C. Gupta, Himalaya Publishing House,
Fundamentals of Statistics, 2018
• R.S.N Pillai and Bagavathi, S.Chand publications, 2010

17. THANK YOU