UM20BB151 Business Stats - Consolidated.pptx

BUSINESS STATISTICS
Dr. Anitha Jandhyala (Anchor)
Department of BBA
Mr. Christopher Devakumar (Co-Anchor)

BUSINESS STATISTICS
Unit 1: Introduction to Statistics – Class#1
Dr. Anitha Jandhyala
Department of BBA
Mr. Christopher Devakumar

Topics Covered
INTRODUCTION TO STATISTICS
Meaning and Definition of Statistics
Functions , Importance and Limitations of Statistics
Primary Data and Secondary Data
Data Collection Methods
Classification and Tabulation of Data
Diagrammatic and Graphical representation of Data.

Definition of Statistics
Statistics may be defined as the Science of collection, presentation,
analysis and interpretation of numerical data.
F. E. Croxton and D.J. Cowden

Functions of Statistics
 It simplifies complex data.
It collects the data systematically in a definite form.
It presents the data in a most suitable manner.
It compares one set of data with the other.
It guides the management in planning.
It helps in estimating the future activities.

 Statistics in Planning.
 Statistics in Economics.
 Statistics in Business and Management.
 Statistics in Industry.
 Statistics in Astronomy.
 Statistics in Physical Sciences.
 Statistics in Social Sciences.
 Statistics in Medical Sciences.
Importance of Statistics in Different Disciplines

 Statistics does not study qualitative phenomenon.
 Statistics does not study individual items and it is confined to the
study of group of items.
 Statistical laws are not exact. They are probabilistic in nature and
inferences based on them are only approximate and not exact like
the inferences based on mathematical or scientific laws. Statistical
laws are true only on the average.
 Statistics is liable to be misused. Its tools are dangerous in the
hands of inexperienced persons.
Limitations of Statistics

•The data which are originally collected by an investigator or agency
for the first time for any statistical investigation and used by them in
the statistical analysis are termed as “Primary data”.
•The data (published or unpublished) which have already been
collected and processed by some agency or person and taken over
from there and used by any other agency for their statistical work are
termed as “Secondary data”.
Primary data and Secondary data

Classification is the process of arranging data into sequences and
groups or classes according to their common characteristics or
attributes. It refers to the sorting out of a heterogeneous mass data
into a number of homogeneous groups and sub-groups.
Classification of data

A statistical table is the logical listing of related quantitative data in
vertical columns and horizontal rows of numbers with sufficient
explanatory and qualifying words, phrases and statements in the form
of titles, headings and notes to make clear the full meaning of data
and their origin.
Tabulation of data

 Table number
 Title
 Head notes or Prefatory notes
 Captions and Stubs
 Body of the table
 Foot-note
 Source note
Parts of a Table

BUSINESS STATISTICS
Unit 2: Measures of Dispersion
Department of BBA

Range
1. Calculate range and its co-efficient for the
following data.
• 53, 46, 18, 16, 75, 84, 28
• 16,13,17,14,53
2. Calculate range and its co-efficient for the
following data.
Measures of Dispersion
X 6 12 18 24 30 36 42
F 20 130 80 60 210 150 600

Range
3. Calculate the range and its coefficient for the following data
4. Calculate the quartile deviation for the following data.
a. 25,30,37,43,89,84,80,72,67,61,54,48
b. 16,13,17,14,53
Measures of Dispersion
Marks
obtained
0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of
students
22 34 52 87 44 49 40 34 44 24

Quartile Deviation
5. Calculate the quartile deviation for the following data.
6. Calculate the quartile deviation for the following data
X 58 59 60 61 62 63 64 65 66
Frequency 15 20 32 35 33 22 20 10 8
Value 10 20 30 40 50 60
Frequency 28 36 24 32 40 16

Quartile Deviation
7. Calculate quartile deviation and its co-efficient.
8. Calculate quartile deviation and its co-efficient
for the following data.
Value 15-25 25-35 35-45 45-55 55-65 65-75 75-85 85-95
Frequency 32 38 45 98 122 80 50 25
Class Interval 10-20 20-30 30-40 40-50 50-60 60-70
Frequency 3 5 15 10 3 4

Mean Deviation
9. Calculate the mean deviation for the following data.
a) 5,10,8,6,15,25,16 (from mean)
b) 15,20,60,90,25,65,70 (from median )
10.Calculate the mean deviation for the following data
X 10 20 30 40 50 60
Frequency 4 7 15 8 7 2

Median
11. Find mean deviation and its co-efficient.
12. Calculate mean deviation and its co-efficient for the following data.
Age 18 20 22 24 26 28 30
No. of persons 12 15 20 25 18 10 8
Marks Obtained 10-12 12-14 14-16 16-18 18-20 20-22 22-24 24-26 26-28
No.of students 5 8 12 20 7 10 11 15 10

Mean Deviation
13. Calculate mean deviation and its co-efficient for the following data.
14. Calculate Standard deviation and coefficient of variation for the following
data.
a. 5,10,20,25,40,42,45,48,70,80
b. 5,10,8,6,15,25,16
Marks 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
Frequency 5 10 16 20 25 20 18 12 6

Mode
15. From the following data find who better run getter and who consistent batsman.
16. Calculate co-efficient of variation and state who is a better run getter and who is
consistent batsman.
Particulars Batsman A Batsman
B
Average Runs Scored per innings 45.5 52.5
No. of innings 10 10
Standard deviation 10 11
Particulars Batsman A Batsman B
Average Runs Scored per innings 40.5 52.5
No. of innings 10 10

Standard Deviation
17. From the following data find in which factory is there a greater variation in the distribution
of wages per employee. Which factory pays more wages.
18. From the following data find
a. Which section scores more marks in an average.
b. Which section is more consistent in scoring?
Factory X Factory Y
No. of employees 50 100
Average wage per employee 60 42
Variance of wages per employee 16 64
Marks 0-10 10-20 20-30 30-40 40-50
Boys Section 9 13 20 10 8

Standard Deviation
19. Calculate Karl Pearson’s coefficient of skewness for the following data.
20.Calculate Karl Pearson’s coefficient of skewness for the following data.
Measurement 10 11 12 13 14 15
Frequency 2 4 10 8 5 1
Wages (Rs) 0-10 10-20 20-30 30-40 40-50
No. of workers 15 20 30 25 10

Standard Deviation
21. Calculate Karl Pearson’s coefficient of skewness for the following data.
Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70
Number of
students
10 15 24 25 10 10 6

BUSINESS STATISTICS
Unit 2: Measures of Central Tendency
Department of BBA

Arithmetic mean
1. Calculate the mean for the following data. 5, 20,6,25,42,30
2. Given average marks=50, No. of students =25, find the total
marks of all the students.
3. Calculate the mean for the following data.
70 ,120,110,101,88,83,95,98,107,100
Measures of Central tendency

Arithmetic mean
4. Calculate the arithmetic mean for the following data
Runs
Scored
10 20 30 40 50 60 70 80 90
No. of
Batsmen
7 18 15 25 30 20 16 7 2
Number of
calls
0 1 2 3 4 5 6 7
Frequency 14 21 25 43 51 40 39 12

Arithmetic mean
Marks
obtained
0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of
students
22 34 52 87 44 49 40 34 44 24
Marks below 10 20 30 40 50 60 70
No. of Students 18 35 58 73 80 96 100

Arithmetic mean
8. Find out missing frequency when the mean is 19.
9. Find the missing frequency when the mean is 25.
Marks 5-10 10-15 15-20 20-25 25-30
No.of Students 2 2 --- 4 4
Class interval 0-10 10-20 20-30 30-40 40-50 Total
Frequency 5 ? 15 ? 5 45

Arithmetic mean
10. A contractor employs three types of workers male, female and
children. To a male worker he pays Rs 30 per day, to a female worker
Rs. 20 per day and to a child worker Rs. 10 per day. What is the
weighted average wage if the weights are 20,15,5 for male, female
and child?
11.A candidate obtains the following marks in the Pre-University
examination: English 60, Kannada 50, Physics 80, Chemistry 70,
Maths 90 and Biology 70. Admission to a Science Institute are based
on weighted mean of the marks scored, where weights for different
subjects are given as 1,2,3,3,3 and 2 respectively. Find out the
weighted Mean marks.

Median
12. Calculate the median for the following data.
a) 5,10,8,6,15,25,16
b) 15,20,69,90,23,65
13. In a class of 15 students 5 students failed in a test. The
marks of 10 students who have passed were 9, 6,
7,8,9,6,5,4,7 and 8. What is the median mark of all the
students?

Median
12. Calculate the median for the following data.
13. Find the median for the following data.
Marks 10 20 30 40 50 60 70 80 90 100
No. of
students
10 16 18 13 6 3 8 4 6 6
Mid Points 5 15 25 35 45
Frequency 3 9 8 5 5

Median
14. Find the missing frequency when the median is 500.
15. Find the missing frequency when the median is 46.
Class interval 0-200 200-400 400-600 600-800 800-1000
Frequency 14 23 27 ? 15
Class
interval
10-20 20-30 30-40 40-50 50-60 60-70 70-80 Total
Frequency 12 30 ? 65 ? 25 18 229

Median and Mode
16. Find the median for the following data.
17.Calculate the mode for the following data
a) 20,30,40,20,50,93,45,20
b) 60,30,56,32,35,60,30,20,20,60,30
c)25,56,32,69,25,20,25,20,36,56,56,20
Class interval 4-7 8-11 12-15 16-19 20-23 24-27
Frequency 12 23 40 65 17 3

Mode
18. Find the mode for the following data.
Value 1 2 3 4 5 6 7
Frequency 7 11 31 17 16 5 2

Mode
19. Find the mode for the following data.
20.Calculate the mode for the following data
Class interval 4-7 8-11 12-15 16-19 20-23 24-27
Frequency 12 23 40 65 17 3
Marks
obtaine
d
0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of
student
22 34 52 87 44 49 40 34 44 24

anithajandhyala@pes.edu
THANK YOU
Department of BBA

UM20BB151 Business Stats - Consolidated.pptx

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