Detail Survey on Indian manufacture shampoo for management statistical purpose and calculation of Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

1. Statistical Measure for Shampoo in Indian
market
Renzil D’cruz
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2. Introduction
• The top shampoo brands in India include Sunsilk, Clinic
Plus, L’oreal and Pantene.
• The shampoo market in India is estimated to be 2,5003,000 crore.
• conducted survey on sample of 50 people age group
between 18-25, who are consumers of various Shampoos.
• compare Sunsilk, L’Oreal with respect to other brands on
various factors

3. Questionnaire For Shampoo Survey
Company
SUNSILK
(HUL)
LOREAL
Variable
Price
Availability
Aroma
Packaging
Varieties
Value For Money
Brand Ambassadors
Advertising
Satisfaction
Please rate the following on the scale of 1-7:(1:Lowest & 7: Highest)
VATIKA
(DABUR)

4. Vote Distribution
100%
90%
80%
70%
60%
50%
40%
30%
20%
10%
0%
Other
L'Oreal
Sunsilk
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5. Price
30
25
20
Sunsilk
15
L'oreal
Others
10
5
0
1
2
3
4
5
6
7

6. Availability
25
20
15
Sunsilk
L'oreal
10
Others
5
0
1
2
3
4
5
6
7

7. Aroma
20
18
16
14
12
Sunsilk
10
L'oreal
8
Others
6
4
2
0
1
2
3
4
5
6
7

8. Quality
16
14
12
10
Sunsilk
8
L'oreal
6
Others
4
2
0
1
2
3
4
5
6
7

9. Packaging
18
16
14
12
10
Sunsilk
8
L'oreal
Others
6
4
2
0
1
2
3
4
5
6
7

10. Varieties
20
18
16
14
12
Sunsilk
10
L'oreal
8
Others
6
4
2
0
1
2
3
4
5
6
7

11. Value for money
18
16
14
12
10
Sunsilk
8
L'oreal
Others
6
4
2
0
1
2
3
4
5
6
7

12. Brand Ambassador
20
18
16
14
12
Sunsilk
10
L'oreal
8
Others
6
4
2
0
1
2
3
4
5
6
7

13. Advertising
18
16
14
12
10
Sunsilk
8
L'oreal
Others
6
4
2
0
1
2
3
4
5
6
7

14. Mean, Mode and Median
• Mean: The arithmetic mean or average of a set of numbers is the expected
value. The mean is calculated by adding up all the values, and then dividing
that sum by the number of values.
• Mean (x)=A+(Σ(fd)/n)*i
• Median: The median is the middle value in a set of values. To find the
median, order the numbers from largest to smallest, and then choose the
value in the middle.
• Median =L+((n/2-PCF)/f)*i
• Mode: The mode of a set is the value or values that occur most frequently.
There can be more than one mode in a set. If there is more than one mode,
you simply list all of the modes; you do not have to average them.
• Mode=L+{∆1/(∆1+ ∆2)}*i
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15. Mean, Mode and Median
60
50
40
Mean
30
Median
Others
20
10
0
Sunsilk
L'Oreal
Other

16. 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 (σ) =
*i
S.D
15
10
S.D
5
0
SUNSILK
LO'REAL
OTHERS

17. Skewness:
• It is a measure of the asymmetry of the probability distribution of
a real-valued random variable. The skewness value can be positive or
negative, or even undefined.
SKEWNESS
0.1
0.05
0
-0.05
-0.1
-0.15
-0.2
-0.25
SUNSILK
LO'REAL
OTHERS
SKEWNESS

18. Coefficient of quartile deviation:
• It is the simple method of studying variation. it is defined as the
difference between the value of the smallest and the highest
observation. the relative measure corresponding to deviation is called
coefficient of quartile deviation t is given by,
• Coefficient of quartile deviation =(Q3 − Q1)/( Q3 + Q1)
Coefficient of quartile deviation:
0.3
0.2
Coefficient of quartile
deviation:
0.1
0
SUNSILK
LO'REAL
OTHERS

19. Sunsilk
Analysis
Mean
Median
Mode
Standard
deviation
Quartile
Deviation
Coefficient
of Quartile
deviation
Skewness
Average
Deviation
Price
212
205.56
182.76
22.91
100.53
0.39
1.27
55.52
Availability
24.2
26
27.38
7.05
8.37
0.16
-0.45
5.50
Aroma
22.3
22.63
22.75
6.4
8.32
0.18
-0.07
4.68
Quality
20.8
20.77
19.29
6.45
9.43
0.22
0.23
5.31
Packaging
22.1
22.31
25.88
5.47
9.92
0.22
-0.69
4.49
Varieties
24.3
26.32
28.09
7.28
10.55
0.22
-0.52
6.04
Value for
Money
19.9
20.88
22.5
5.32
9.81
0.25
-0.499
5.51
Brand
Ambassador
22.9
24.23
26.39
9.12
8.04
0.17
-0.38
4.65
Advertising
22.1
25.66
28.13
6.62
10.12
0.20
-0.91
6.53
Satisfaction
21.4
21.5
21.84
5.73
7.12
0.17
-0.01
4.46
Parameters

20. LOREAL
Analysis
Mean
Median
Mode
Standard
Deviation
Quartile
Deviation
Coefficient of
Quartile
Deviation
Skewness
Average Deviation
Price
298
322
331.08
73.63
84.5
0.14
-0.45
62.34
Availability
20.4
22
24.16
7.62
12.18
0.30
-0.49
6.40
Aroma
20.1
19.66
19.09
7.22
3.92
0.89
0.14
5.90
Quality
25.2
26.66
30
7.08
10
0.19
-0.68
5.76
Packaging
23.1
23.52
23.66
8.73
8.3
0.17
-0.06
4.92
Varieties
22.7
23.5
27.5
7.54
12.01
0.26
-0.64
6.22
Value for Money
21.6
21.76
20.71
5.89
8.46
0.19
0.15
4.72
Brand
Ambassador
23.6
25.33
27.14
7.9
9.29
0.24
-0.44
6.26
Advertising
23.7
25
18.75
7.26
10.85
0.23
0.68
6
Satisfaction
22.6
22.08
13.5
9.6
9.17
0.19
0.95
5.31
Parameters

21. Others
Analysis
Mean
Median
Mode
Standard
Deviation
Quartile
Deviation
Coefficient of
Quartile
Deviation
Skewnwess
Average
Deviation
Price
216
209.09
234.21
64.57
95.47
0.22
-0.28
53.72
Availability
18.7
17.73
13.75
7.97
11.85
0.32
0.62
62.4
Aroma
18
18.21
18.33
7.5
9.88
0.27
-0.04
5.8
Quality
18.6
19
17
7.16
9.01
0.24
0.22
5.63
Packaging
17.2
11.25
14.38
8.21
11.57
0.34
0.34
6.54
Varieties
17
14.72
13.09
7.23
9.82
0.30
0.54
5.88
Value for Money
18
18.13
18.33
6.14
8.75
0.24
-0.05
4.62
Brand
Ambassador
17.7
18.07
20.83
7.28
3.17
0.08
-0.43
5.93
Advertising
18.4
17.5
16.25
6.61
8.6
0.24
0.33
5.19
Satisfaction
16.9
16.25
15
0.6
2.5
0.05
3.17
16.82
Parameters

22. Market Shares
SHARE %
SUNSILK
CLINIC
20
28.6
L’Oreal
PANTENE
HALO
1.2 0.7
OPTIMA
1
LAKME
3.6
3.4
25
11
5.5
ULTRA DOUX
FLEX
OTHERS

23. Carl Pearson correlation coefficient
• the Pearson product-moment correlation
coefficient (sometimes referred to as the PPMCC or PCC,
or Pearson's r, and is typically denoted by r) is a measure of
the correlation (linear dependence) between two
variables X and Y, giving a value between +1 and −1
inclusive. It is widely used in the sciences as a measure of
the strength of linear dependence between two variables.

24. • The interpretation of a correlation coefficient depends on
the context and purposes. A correlation of 0.9 may be very
low if one is verifying a physical law using high-quality
instruments, but may be regarded as very high in the social
sciences where there may be a greater contribution from
complicating factors.
• CorrelationNegativePositive
• None−0.09 to 0.00.0 to 0.09
• Small−0.3 to −0.10.1 to 0.3
• Medium−0.5 to −0.30.3 to 0.5
• Strong−1.0 to −0.50.5 to 1.0
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25. 1.2
1
0.8
Sunsilk
0.6
L'Oreal
0.4
0.2
0
0
0.2
0.4
0.6
0.8
1
1.2

26. Thank You.
• Questions ???
• Comments #@$%
• Concerns !!!
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