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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
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Statistical Measure for Shampoo in Indian market
Renzil D’cruz
http://RenzilDe.com http://about.me/renzilde
http://linkedin.com/in/renzilde
Introduction
• The top shampoo brands in India include Sunsilk, Clinic Plus, L’oreal and Pantene.
• The shampoo market in India is estimated to be 2,500-3,000 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
Questionnaire For Shampoo Survey Company
Variable
SUNSILK
(HUL)
LOREAL VATIKA
(DABUR)
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)
Vote Distribution
0%10%20%30%40%50%60%70%80%90%
100%
Other
L'Oreal
Sunsilk
Renzil D’cruz
http://RenzilDe.com http://about.me/renzilde
http://linkedin.com/in/renzilde
Price
0
5
10
15
20
25
30
1 2 3 4 5 6 7
Sunsilk
L'oreal
Others
Availability
0
5
10
15
20
25
1 2 3 4 5 6 7
Sunsilk
L'oreal
Others
Aroma
0
2
4
6
8
10
12
14
16
18
20
1 2 3 4 5 6 7
Sunsilk
L'oreal
Others
Quality
0
2
4
6
8
10
12
14
16
1 2 3 4 5 6 7
Sunsilk
L'oreal
Others
Packaging
0
2
4
6
8
10
12
14
16
18
1 2 3 4 5 6 7
Sunsilk
L'oreal
Others
Varieties
0
2
4
6
8
10
12
14
16
18
20
1 2 3 4 5 6 7
Sunsilk
L'oreal
Others
Value for money
0
2
4
6
8
10
12
14
16
18
1 2 3 4 5 6 7
Sunsilk
L'oreal
Others
Brand Ambassador
0
2
4
6
8
10
12
14
16
18
20
1 2 3 4 5 6 7
Sunsilk
L'oreal
Others
Advertising
0
2
4
6
8
10
12
14
16
18
1 2 3 4 5 6 7
Sunsilk
L'oreal
Others
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
Renzil D’cruz
http://RenzilDe.com http://about.me/renzilde
http://linkedin.com/in/renzilde
Mean, Mode and Median
0
10
20
30
40
50
60
Sunsilk L'Oreal Other
Mean
Median
Others
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
0
5
10
15
SUNSILK LO'REAL OTHERS
S.D
S.D
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.
-0.25
-0.2
-0.15
-0.1
-0.05
0
0.05
0.1
SUNSILK LO'REAL OTHERS
SKEWNESS
SKEWNESS
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)
0
0.1
0.2
0.3
SUNSILK LO'REAL OTHERS
Coefficient of quartile deviation:
Coefficient of quartiledeviation:
Sunsilk Analysis
Parameters
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
LOREAL Analysis
Parameters
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
Others Analysis
Parameters
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
Market Shares
20
25
5.5 11
3.4
3.6
1
1.2 0.7
28.6
SHARE %
SUNSILK
CLINIC
L’Oreal
PANTENE
HALO
OPTIMA
LAKME
ULTRA DOUX
FLEX
OTHERS
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.
• 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
Renzil D’cruz http://RenzilDe.com
http://about.me/renzilde http://linkedin.com/in/renzilde
0
0.2
0.4
0.6
0.8
1
1.2
0 0.2 0.4 0.6 0.8 1 1.2
Sunsilk
L'Oreal
Thank You. • Questions ???
• Comments #@$%
• Concerns !!!
Thank You. • Questions ???
• Comments #@$%
• Concerns !!!
Thank You. • Questions ???
• Comments #@$%
• Concerns !!!
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