Statistical Analysis
Vs
 INTRODUCTION
 RESEARCH METHODOLOGY
 ARITHMETIC MEAN
 MEDIAN
 MODE
 GEOMETRIC MEAN
 STANDARD DEVIATION
 COEFFECIENT OF VARIANCE
 SKEWNESS
 RANGE
 KARLPEARSON’S COEFFECIENT OF CORELATION
 REGRESSION
 CONCLUSION
Founded: October 1, 2001
Headquarters: Tokyo, Japan
Key people:
• Kunimasa Suzuki (President &
CEO)
• Bob Ishida (Deputy CEO)
World’s 10th largest mobile phone
manufacturer
Profits: € 206 million (2011)
Founded: 1938
Headquarters: Samsung Town, Seoul, South
Korea
Key people:
• Lee Kun-hee (Chairman and CEO)
• Lee Soo-bin (President, CEO)
In 2007,it was the second largest mobile device
manufacturer in the world (after Nokia)
By 2011, it came upto No. 1.
Profits: US$ 18.3 billion (2011)
32.90%
6.70%
5.80%
4.90%5.10%
44.60%
SAMSUNG
NOKIA
HTC
SONY
BLACKBERRY
OTHERS
• Data collection
• Preparing a questionnaire of two different
mobile companies using different variables
• Where people had to rate it on the scale of 1 to 5
• Data was collected from the people who had
used both the companies phone.
• The sample size taken into consideration was 50
Sr
No.
Questions Samsung Sony
1 How would you rate your brand according to your preference?
2 Appearance/design
3 Camera & picture quality
4 Sound quality
5 Battery life
6 User Friendly (including touch & feel)
7 Built quality
8 Value for Money
9 Headphones and other accessories
10 After sales service
Questionnaire
Name:
Age:
Occupation:
Current mobile you are using:
Kindly rate all the
2 brands from 1-5
for the 10
questions stated
below:
1-Poor
2-Average
3-Good
4-Very Good
5-Excellent
A mathematical representation of the
typical value of a series of numbers,
computed as the sum of all the numbers in
the series divided by the count of all
numbers in the series.
Arithmetic mean is commonly referred to
as "average" or simply as "mean".
MEAN = ∑ FX
N
Particulars Samsung Sony
1 0 3
2
5
9
3 13 18
4 20 17
5 12 3
PARTICULARS SAMSUNG SONY
MEAN 3.78 3.16
•The mean rating of Samsung is high.
The middle number in a sorted list of
numbers. The median can be used to
determine an approximate average.
Median = N + 1 th observation
2
PARTICULARS SAMSUNG SONY
1 1 3
2 2 10
3 15 17
4 18 18
5 14 2
PARTICULARS SAMSUNG SONY
MEDIAN 14 10
•The Median of Appearances/ Design of Samsung is High
A statistical term that refers to the most
frequently occurring number found in a set of
numbers.
Mode= The result with the highest occurrences
is the mode of the set.
PARTICULARS SAMSUNG SONY
1 2 1
2 3 2
3 17 9
4 15 25
5 13 13
PARTICULARS SAMSUNG SONY
MODE 17 25
•The Mode of Camera and Picture Quality of Sony is High
 Geometric mean is defined as the Nth root of the
product of N items or Values. If there are two items we
take the square root: if there are three items the cube
root and so on.
 When the number of items is 3 or more the task of
multiplying the numbers and of extracting the root
becomes very difficult. To simplify calculations
logarithms are used,
GM= Anti log [∑log x]
N
Variable SAMSUNG SONY
Value for Money 9.76 9.82
•The GM of Value for Money of Sony is High.
A measure of the dispersion of a set of data
from its mean. The more spread apart the
data, the higher the deviation. Standard
deviation is calculated as the square root of
variance.
PARTICULARS SAMSUNG SONY
1 0 2
2 6 2
3 17 3
4 21 19
5 6 24
PARTICULARS SAMSUNG SONY
MEAN 3.54 4.22
MEDIAN 6 3
S.D 1.01 1.04
• The Standard deviation of Sony is higher which means
that the Sound Quality is less/ Bad.
100
x

Coefficient of Variation: The standard deviation of data divided by it’s
mean. It is usually expressed in percent.
Coefficient of Variation=
Variables Samsung Sony
Sound Quality 1.01
3.54
1.04 X 100=24.64%
4.22
X 100= 28.53%
SKEWNESS is a measure of the probability
distribution of a real valued random variable.
The skewness value can be positive or
negative or even undefined.
 SKEWNESS= (Mean-Mode)
Standard deviation
PARTICULARS SAMSUNG SONY
1 4 2
2 12 14
3 17 17
4 15 12
5 2 5
PARTICULARS SAMSUNG SONY
MEAN 2.98 3.08
MODE 17 17
S.D 5.9614 5.6212
SKEWNESS -0.3312 -0.3547
Range is the difference between largest value
and the smallest value.
RANGE= L - S
L+S
PARTICULARS SAMSUNG SONY
1 1 2
2 2 6
3 11 21
4 26 18
5 10 3
PARTICULARS SAMSUNG SONY
RANGE 0.9259 0.8261
•The Range of User Friendly of Samsung is High.
 Correlation is a statistical tool with the help
of which the relationship between two or
more variables is studied.
 The measure of correlation is called as co-
efficient of correlation and denoted by ‘r’.
 The Value Of Coefficient of Correlation Lies
Between -1 to 1.
Co-efficient of Correlation(r) = ∑ x y
∑x² . ∑y²
VARIABLE SAMSUNG SONY
Quality
Vs
Value for money
0.66 0.96
•Samsung Shows a Positive Correlation. Whereas
In Sony, Correlation is Very Close to 1.Therefore,
there is strong positive correlation.
Regression is the measure of the average relationship between two
or more variables in terms of the orignal units of the data.
•Y on x = y-y’ = byx (x-x’)
•X on y = x-x’ = bxy (y-y’)
•byx = cov (x,y)
v(x)
•bxy = cov (x,y)
v(y)
•cov(x,y) = ∑xy – x’y’
n
•v(x) = ∑x2 – (x’)2
n
•v(y) = ∑y2 – (y’)2
n
YEAR SALES(X) ADVTERISMENT
(Y)
2009-10 1094.77 77.37
2010-11 919.17 68.35
2011-12 888.06 70.51
2012-13 864.98 71.23
2013-14 735.64 51.53
 We have planned our advertisement expenditure
for the year 2014-15 is Rs.211.18cr.
 So through regression we have calculated
expected sales for the year 2014-15 will be
2568.72crs.
In Cr.
HEAD PHONE AND ACCESSORIES
0%
10%
20%
30%
40%
50%
60%
70%
80%
90%
100%
0
7 16
15 12
2
5 12
19 12
SONY
SAMSUNG
AFTER SALE SERVICE
1
7
21
16
5
SAMSUNG
POOR
AVERAGE
GOOD
VERY GOOD
EXCELLENT
5
11
20
12
2
SONY
POOR
AVERAGE
GOOD
VERY GOOD
EXCELLENT
After sampling 50 people for our survey we
conclude that SAMSUNG is a more preferred
brand over SONY.
Abhishek Bhatt 13002
Ankish Jain 13005
Anshul Ramnani 13006
Ashish Ramnani 1300
Tanmay Gattani 130074

Statistical Analysis of Sony and Samsung

  • 1.
  • 2.
  • 4.
     INTRODUCTION  RESEARCHMETHODOLOGY  ARITHMETIC MEAN  MEDIAN  MODE  GEOMETRIC MEAN  STANDARD DEVIATION  COEFFECIENT OF VARIANCE  SKEWNESS  RANGE  KARLPEARSON’S COEFFECIENT OF CORELATION  REGRESSION  CONCLUSION
  • 5.
    Founded: October 1,2001 Headquarters: Tokyo, Japan Key people: • Kunimasa Suzuki (President & CEO) • Bob Ishida (Deputy CEO) World’s 10th largest mobile phone manufacturer Profits: € 206 million (2011)
  • 6.
    Founded: 1938 Headquarters: SamsungTown, Seoul, South Korea Key people: • Lee Kun-hee (Chairman and CEO) • Lee Soo-bin (President, CEO) In 2007,it was the second largest mobile device manufacturer in the world (after Nokia) By 2011, it came upto No. 1. Profits: US$ 18.3 billion (2011)
  • 7.
  • 8.
    • Data collection •Preparing a questionnaire of two different mobile companies using different variables • Where people had to rate it on the scale of 1 to 5 • Data was collected from the people who had used both the companies phone. • The sample size taken into consideration was 50
  • 9.
    Sr No. Questions Samsung Sony 1How would you rate your brand according to your preference? 2 Appearance/design 3 Camera & picture quality 4 Sound quality 5 Battery life 6 User Friendly (including touch & feel) 7 Built quality 8 Value for Money 9 Headphones and other accessories 10 After sales service Questionnaire Name: Age: Occupation: Current mobile you are using: Kindly rate all the 2 brands from 1-5 for the 10 questions stated below: 1-Poor 2-Average 3-Good 4-Very Good 5-Excellent
  • 10.
    A mathematical representationof the typical value of a series of numbers, computed as the sum of all the numbers in the series divided by the count of all numbers in the series. Arithmetic mean is commonly referred to as "average" or simply as "mean". MEAN = ∑ FX N
  • 11.
    Particulars Samsung Sony 10 3 2 5 9 3 13 18 4 20 17 5 12 3 PARTICULARS SAMSUNG SONY MEAN 3.78 3.16 •The mean rating of Samsung is high.
  • 12.
    The middle numberin a sorted list of numbers. The median can be used to determine an approximate average. Median = N + 1 th observation 2
  • 13.
    PARTICULARS SAMSUNG SONY 11 3 2 2 10 3 15 17 4 18 18 5 14 2 PARTICULARS SAMSUNG SONY MEDIAN 14 10 •The Median of Appearances/ Design of Samsung is High
  • 14.
    A statistical termthat refers to the most frequently occurring number found in a set of numbers. Mode= The result with the highest occurrences is the mode of the set.
  • 15.
    PARTICULARS SAMSUNG SONY 12 1 2 3 2 3 17 9 4 15 25 5 13 13 PARTICULARS SAMSUNG SONY MODE 17 25 •The Mode of Camera and Picture Quality of Sony is High
  • 16.
     Geometric meanis defined as the Nth root of the product of N items or Values. If there are two items we take the square root: if there are three items the cube root and so on.  When the number of items is 3 or more the task of multiplying the numbers and of extracting the root becomes very difficult. To simplify calculations logarithms are used, GM= Anti log [∑log x] N Variable SAMSUNG SONY Value for Money 9.76 9.82 •The GM of Value for Money of Sony is High.
  • 17.
    A measure ofthe dispersion of a set of data from its mean. The more spread apart the data, the higher the deviation. Standard deviation is calculated as the square root of variance.
  • 18.
    PARTICULARS SAMSUNG SONY 10 2 2 6 2 3 17 3 4 21 19 5 6 24 PARTICULARS SAMSUNG SONY MEAN 3.54 4.22 MEDIAN 6 3 S.D 1.01 1.04 • The Standard deviation of Sony is higher which means that the Sound Quality is less/ Bad.
  • 19.
    100 x  Coefficient of Variation:The standard deviation of data divided by it’s mean. It is usually expressed in percent. Coefficient of Variation= Variables Samsung Sony Sound Quality 1.01 3.54 1.04 X 100=24.64% 4.22 X 100= 28.53%
  • 20.
    SKEWNESS is ameasure of the probability distribution of a real valued random variable. The skewness value can be positive or negative or even undefined.  SKEWNESS= (Mean-Mode) Standard deviation
  • 21.
    PARTICULARS SAMSUNG SONY 14 2 2 12 14 3 17 17 4 15 12 5 2 5 PARTICULARS SAMSUNG SONY MEAN 2.98 3.08 MODE 17 17 S.D 5.9614 5.6212 SKEWNESS -0.3312 -0.3547
  • 22.
    Range is thedifference between largest value and the smallest value. RANGE= L - S L+S
  • 23.
    PARTICULARS SAMSUNG SONY 11 2 2 2 6 3 11 21 4 26 18 5 10 3 PARTICULARS SAMSUNG SONY RANGE 0.9259 0.8261 •The Range of User Friendly of Samsung is High.
  • 24.
     Correlation isa statistical tool with the help of which the relationship between two or more variables is studied.  The measure of correlation is called as co- efficient of correlation and denoted by ‘r’.  The Value Of Coefficient of Correlation Lies Between -1 to 1.
  • 25.
    Co-efficient of Correlation(r)= ∑ x y ∑x² . ∑y² VARIABLE SAMSUNG SONY Quality Vs Value for money 0.66 0.96 •Samsung Shows a Positive Correlation. Whereas In Sony, Correlation is Very Close to 1.Therefore, there is strong positive correlation.
  • 26.
    Regression is themeasure of the average relationship between two or more variables in terms of the orignal units of the data. •Y on x = y-y’ = byx (x-x’) •X on y = x-x’ = bxy (y-y’) •byx = cov (x,y) v(x) •bxy = cov (x,y) v(y) •cov(x,y) = ∑xy – x’y’ n •v(x) = ∑x2 – (x’)2 n •v(y) = ∑y2 – (y’)2 n
  • 27.
    YEAR SALES(X) ADVTERISMENT (Y) 2009-101094.77 77.37 2010-11 919.17 68.35 2011-12 888.06 70.51 2012-13 864.98 71.23 2013-14 735.64 51.53  We have planned our advertisement expenditure for the year 2014-15 is Rs.211.18cr.  So through regression we have calculated expected sales for the year 2014-15 will be 2568.72crs. In Cr.
  • 28.
    HEAD PHONE ANDACCESSORIES 0% 10% 20% 30% 40% 50% 60% 70% 80% 90% 100% 0 7 16 15 12 2 5 12 19 12 SONY SAMSUNG
  • 29.
    AFTER SALE SERVICE 1 7 21 16 5 SAMSUNG POOR AVERAGE GOOD VERYGOOD EXCELLENT 5 11 20 12 2 SONY POOR AVERAGE GOOD VERY GOOD EXCELLENT
  • 30.
    After sampling 50people for our survey we conclude that SAMSUNG is a more preferred brand over SONY.
  • 32.
    Abhishek Bhatt 13002 AnkishJain 13005 Anshul Ramnani 13006 Ashish Ramnani 1300 Tanmay Gattani 130074