2. RECAP
• Preparation of Frequency Distribution Table -
Continuous Series Problems ----------- 01
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 - 11
• Preparation of Frequency Distribution Table -
Continuous Series(Exclusive) Problems-02
6. EXAMPLE; 01
Marks scored by 50 students are given below form a
frequency distribution with a class of 10.
04, 10, 14, 20, 25, 35, 65, 75, 10, 15
05, 20, 25, 30, 35, 40, 85, 95, 98, 20
50, 60, 65, 65, 35, 20, 10, 95, 85, 30
05, 15, 20, 25, 25, 30, 68, 75, 35, 45
12, 15, 20, 25, 30, 40, 48, 78, 88, 35.
Construct grouped frequency distribution table.
7. CONTD
CLASS INTERVAL TALLY MARKS FREQUENCY
0-10 III 03
10-20 IIII III 08
20-30 IIII IIII I 11
30-40 IIII IIII 09
40-50 IIII 04
50-60 I 01
60-70 IIII 05
70-80 III 03
80-90 III 03
90-100 III 03
TOTAL 50
8. EXAMPLE; 02
The following are the number of replacement parts used
In a mill 50 consecutive weeks for a certain groups of
similar machine.
48, 41, 45, 52, 47, 46, 54, 43, 46, 47
45, 36, 56, 44, 61, 68, 42, 58, 51, 47
48, 49, 42, 48, 53, 48, 41, 65, 45, 52
58, 50, 55, 45, 43, 69, 63, 45, 38, 43
42, 47, 43, 49, 46, 57, 49, 44, 47, 49
Construct a frequency table with 5 Class Interval
9. CONTD
CLASS INTERVAL TALLY MARKS FREQUENCY
35-40 II 02
40-45 IIII IIII I 11
45-50 IIII IIII IIII IIII I 21
50-55 IIII I 06
55-60 IIII 05
60-65 II 02
65-70 III 03
TOTAL 50
10. SUMMARY
As we already discussed and learnt today on
Classifications and Tabulation as below
• Preparation of Frequency Distribution Table -
Continuous Series(Exclusive) Problems-02
11. MCQs
1. The suitable formula for computing the number of
classes is:
(a) 3.322 logN
(b) 0.322 logN
(c) 1+3.322 logN
(d) 1- 3.322 logN
2. 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
12. MCQs
3 . If the number of workers in a factory is 256, the
number of classes will be:
(a) 8
(b) 9
(c) 10
(d) 12
4 . The largest and the smallest values of any given
class of a frequency distribution are called:
(a) Class Intervals
(b) Class marks
(c) Class boundaries
(d) Class limits
13. MCQs
5 . If there are no gaps between consecutive classes, the
limits are called:
(a) Class limits
(b) Class boundaries
(c) Class intervals
(d) Class marks
15. 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