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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

Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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Page 1: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Statistical Measure for Shampoo in Indian market

Renzil D’cruz

http://RenzilDe.com http://about.me/renzilde

http://linkedin.com/in/renzilde

Page 2: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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

Page 3: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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)

Page 4: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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

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Page 5: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Price

0

5

10

15

20

25

30

1 2 3 4 5 6 7

Sunsilk

L'oreal

Others

Page 6: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Availability

0

5

10

15

20

25

1 2 3 4 5 6 7

Sunsilk

L'oreal

Others

Page 7: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Aroma

0

2

4

6

8

10

12

14

16

18

20

1 2 3 4 5 6 7

Sunsilk

L'oreal

Others

Page 8: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Quality

0

2

4

6

8

10

12

14

16

1 2 3 4 5 6 7

Sunsilk

L'oreal

Others

Page 9: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Packaging

0

2

4

6

8

10

12

14

16

18

1 2 3 4 5 6 7

Sunsilk

L'oreal

Others

Page 10: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Varieties

0

2

4

6

8

10

12

14

16

18

20

1 2 3 4 5 6 7

Sunsilk

L'oreal

Others

Page 11: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Value for money

0

2

4

6

8

10

12

14

16

18

1 2 3 4 5 6 7

Sunsilk

L'oreal

Others

Page 12: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Brand Ambassador

0

2

4

6

8

10

12

14

16

18

20

1 2 3 4 5 6 7

Sunsilk

L'oreal

Others

Page 13: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Advertising

0

2

4

6

8

10

12

14

16

18

1 2 3 4 5 6 7

Sunsilk

L'oreal

Others

Page 14: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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

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Page 15: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Mean, Mode and Median

0

10

20

30

40

50

60

Sunsilk L'Oreal Other

Mean

Median

Others

Page 16: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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

Page 17: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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

Page 18: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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:

Page 19: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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

Page 20: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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

Page 21: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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

Page 22: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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

Page 23: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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.

Page 24: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

• 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

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Page 25: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

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

Page 26: Mean, median, mode, Standard deviation for grouped data for Statistical Measure for Shampoo in Indian market

Thank You. • Questions ???

• Comments #@$%

• Concerns !!!

Thank You. • Questions ???

• Comments #@$%

• Concerns !!!

Thank You. • Questions ???

• Comments #@$%

• Concerns !!!

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