This document discusses the topics of ungrouped versus grouped data, frequency distributions, and data range. Ungrouped data refers to raw data that has not been organized, while grouped data has been organized into a frequency distribution by classifying the data into intervals. An example shows ages of managers organized into a frequency distribution with class intervals of 10 years each. The data range is calculated by finding the difference between the largest and smallest values in the set of data.

1. Course Title: Business Statistics
BBA (Hons)
2nd
Semester
Lecture No:2
Course Instructor: Atiq ur Rehman Shah
Lecturer, Federal Urdu University of Arts,
Science & Technology, Islamabad
+92-345-5271959
aatresh@gmail.com

2. Learning Objectives
• Recognize the difference between
grouped and ungrouped data
• Construct a frequency distribution
• Data Range

3. Ungrouped Versus Grouped
Data
• Ungrouped data
• have not been summarized in any way
• are also called raw data
• Grouped data
• have been organized into a frequency
distribution

4. Example of Ungrouped Data
42
30
53
50
52
30
55
49
61
74
26
58
40
40
28
36
30
33
31
37
32
37
30
32
23
32
58
43
30
29
34
50
47
31
35
26
64
46
40
43
57
30
49
40
25
50
52
32
60
54
Ages of a Sample of
Managers from
Urban Child Care
Centers in the
United States

5. Frequency Distribution of
Child Care Manager’s Ages
Class Interval Frequency
20-under 30 6
30-under 40 18
40-under 50 11
50-under 60 11
60-under 70 3
70-under 80 1

6. Data Range
42
30
53
50
52
30
55
49
61
74
26
58
40
40
28
36
30
33
31
37
32
37
30
32
23
32
58
43
30
29
34
50
47
31
35
26
64
46
40
43
57
30
49
40
25
50
52
32
60
54
Smallest
Largest
Range = Largest - Smallest
= 74 - 23
= 51

7. Data Range
42
30
53
50
52
30
55
49
61
74
26
58
40
40
28
36
30
33
31
37
32
37
30
32
23
32
58
43
30
29
34
50
47
31
35
26
64
46
40
43
57
30
49
40
25
50
52
32
60
54
Smallest
Largest
Range = Largest - Smallest
= 74 - 23
= 51