This document compares various variables of Samsung and Apple/i-Phone using statistical measures. It calculates the mean, mode, median, standard deviation, skewness, and correlation for metrics like brand value, camera, features, display, sound, applications, services, user friendliness, battery life and value for money. Hypothesis testing using z-test and chi-square test show significant differences in brand value but not value for money between the two companies. In conclusion, i-Phone performs better in areas like brand value, camera, features, sound and display while Samsung leads in battery life, services and applications.

1. STATS
COMPARISON OF VARIABLES OF
SAMSUNG AND I-PHONE USING
STATISTICAL MEASURES

2. • RONAK SANGANI -56
• RUCHI KEDIA-57
• TWINKLE CHHADWA-75
• VIRAJ SHAH-81
• YASH GHATALIA-82
• ZEEL SHAH-87

3. Apple Inc.
Type Public.
Industry Computer hardware.
Computer software.
Consumer electronics.
Digital distribution.
Founded April 1, 1976 (37 years ago).
(incorporated January 3, 1977).
Founder(s) Steve Jobs.
Steve Wozniak.
Ronald Wayne.
Headquarters Apple Campus, Cupertino, California, U.S.
Area served Worldwide.

4. Type Public.
Industry
Founder
Consumer electronics.
Telecoms equipment.
Semiconductors.
Home appliances.
Lee Byung-chul.
Founded 1969 (Samsung Electric Industries)
1988 (Samsung Electronics)
Headquarters Suwon,South Korea.
Area served Worldwide.

5. APPLE SAMSUNG
Brand value
Camera
Features
User friendly
Battery back up
Services
Applications
Sound
Display
Value for money
How would you rate on scale of 1-5 ?
Ratings are measured as
• Poor
•Average
•Good
•Very good
Excellent

6. MEAN
• The most popular and widely used measure of representing
the entire data by one value is called as Arithmetic Mean.
• Mean = ∑FX/∑F
•
• Results:
•
• During the analysis of above 2 company mean of Apple and
Samsung found to be respectively. This shows the mean of
– The mean of Apple for display is more than Samsung 4.193
and 3.8387 respectively.
– The mean of Apple for sound is more than Samsung 4.032
and 3.275 respectively.

7. Mean: Apple Vs Samsung
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
Display Sound
4.193 4.032
3.8387
3.275
Apple
Samsung

8. MODE : Apple Vs Samsung.
0
0.5
1
1.5
2
2.5
3
3.5
4
4.5
5
Camera Features
4
55
3
Apple
Samsung

9. MODE
• Mode is defined as the value which occurs maximum number of time i.e. which has
maximum frequency .It is calculated as:
• Mode = L+ *{Δ1/(Δ1+Δ2)}×i]
Where,
L=Lower limit of the class interval of mode class
Δ1=Diff b/w frequency of modal class and frequency of premodal class
Δ2=Diff b/w frequency of modal class and frequency of postmodal class
i= Class Interval
• Results:
• During the analysis of above 2 company , mode of Apple and Samsung shows
• In matter of camera, mode of Samsung is more than Apple 5 and 4 respectively.
• In matter of features, mode of Apple is more than Samsung 5 and 3 respectively.

10. MEDIAN
• It is a measure of central tendency which appears in the middle of order sequence of values i.e. half
of the observation in the set of the data are lower and half are greater than it .Hence median is
called as ‘Positional Average’ .It is calculated as
•
• N/2 - Locate the median Class = Median Position
•
• Median = L+ [{(N/2 – P.C.F)/F}×i]
• Where,
L=Lower limit of the class interval of median class
P.C.F=Preceding Cumulative Frequency
F=Frequency of median class
i =class interval
• Results:
• During the analysis of above 2 company median of Apple and Samsung shows.
• In matter of applications of both phones Samsung is more than Apple 3 and 4 respectively.
• In matter of service of both phones Apple is more than Samsung 4 and 3 respectively.

11. MEDIAN : Apple Vs Samsung
0
0.5
1
1.5
2
2.5
3
3.5
4
Application Service
3
44
3
Apple
Samsung

12. MEDIAN OGIVES
USER FRIENDLINESS OF I-PHONE
0
10
20
30
40
50
60
70
1 2 3 4 5
Series1
Series2

13. STANDARD DEVIATION
• It is a measure of how much spread or variability is present in the sample.
If all the number in the sample are very close to each other in such cases
SD is zero (0) and if the numbers are well dispersed than SD tends to be
large. It is calculated as:
• Standard Deviation =
• Results:
• During the analysis of 2 company in Standard Deviation. This shows
• In matter of brand value Samsung is more than Apple 0.77 and 0.74
respectively.
• In matter of value for money, Samsung is more than Apple 0.86 and 0.67.

14. STANDARD DEVIATION : Apple Vs
Samsung
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
Brand Value Value for money
0.77
0.8633
0.74
0.6766
Samsung
Apple

15. SKEWNESS
VARIABLE SAMSUNG I-PHONE
SOUND 0.171992 -0.4692
DISPLAY 0.234164 -0.33281
•When the mean is higher than the median, there will be a
relatively long upper tail, which is "positive skew".
•Often in the social sciences, the mean may be lower that the
median in which case the distribution has "negative skew"

17. CORRELATON
r = Ʃxy ÷ Ʃxˆ2 × Ʃyˆ2
Brand value Value for money
Samsung
and i- phone
-0.037 0.58
•Correlation is Positive when the values increase together,
•Correlation is Negative when one value decreases as the
other increases.
•There is low negative correlation between samsung and
I-Phone’s brandvalue.
•There is high positive correlation between samsung and
I-Phone’svalue for money

18. Hypothesis test
2
2
2
1
2
1
21 )(
nn
xx
z

19. From the following survey in respect of brand value of
samsung and i phone users,test @ 5%significance
level, if there is any significant difference in the
brandvalue of 2 mobile phones
MOBILE MEAN S.D OF
BRANDVALUE
SIZE OF SAMPLE
SAMSUNG 3.13 0.72 60
I-PHONE 3.92 0.75 60
AS THE SAMPLE IS LARGE WE USE A Z TEST FOR DIFFERENCE IN THE MEANS WITH
THE FOLLOWING –
AT 5%LEVEL OF SIGNIFICANCE FOR A 2-TAILED TEST R: Z > 1.96. OUR OBSERVED
VALUE -5 >-1.96 AND HENCE WE REJECT OUR NULL HYPOTHESIS.AS IT IS IN THE
REJECTION REGION.
THEREFORE THERE EXISTS A SIGNIFICANT DIFFERENCE IN THE BRAND VALUE OF I-
PHONE AND SAMSUNG

20. Chi-square test

21. A sample of 30 is taken randomly can we say
that variance of value for money of iphone
from which the above sample was drawn is
equal to 1.
• Mean of random 30 samples-4.17
• Variance of the above samples-0.54
• AT 5%LEVEL OF significance and at 29 dof our table value for
chi square comes to42.557. our observed value for chi-square
is 15.8804 which lies in the region .
• Hence we accept our null hypothesis and conclude that
variance of population from which the above sample is drawn
is equal to 1 .

22. CONCLUSION
• Brandvalue, camera, features, sound, display,
value for money are the variables where I-
PHONE has won the majority.
• Battery back up, services, user friendliness,
applications are the variables where samsung
has won the majority.