Successfully reported this slideshow.
Upcoming SlideShare
×

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

5,000 views

Published on

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

• Full Name
Comment goes here.

Are you sure you want to Yes No
• @kingsley mbonu # Standard error of the mean ggplot(dfc, aes(x=dose, y=len, colour=supp)) + geom_errorbar(aes(ymin=len-se, ymax=len+se), width=.1) + geom_line() + geom_point() # The errorbars overlapped, so use position_dodge to move them horizontally pd

Are you sure you want to  Yes  No
• please i want do this in R plotting mean and standard deviation in r

Are you sure you want to  Yes  No

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

1. 1. Statistical Measure for Shampoo in Indian market Renzil D’cruz http://RenzilDe.com http://about.me/renzilde http://linkedin.com/in/renzilde
2. 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. 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. 4. Vote Distribution 100% 90% 80% 70% 60% 50% 40% 30% 20% 10% 0% Other L'Oreal Sunsilk Renzil D’cruz http://RenzilDe.com http://about.me/renzilde http://linkedin.com/in/renzilde
5. 5. Price 30 25 20 Sunsilk 15 L'oreal Others 10 5 0 1 2 3 4 5 6 7
6. 6. Availability 25 20 15 Sunsilk L'oreal 10 Others 5 0 1 2 3 4 5 6 7
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. 8. Quality 16 14 12 10 Sunsilk 8 L'oreal 6 Others 4 2 0 1 2 3 4 5 6 7
9. 9. Packaging 18 16 14 12 10 Sunsilk 8 L'oreal Others 6 4 2 0 1 2 3 4 5 6 7
10. 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. 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. 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. 13. Advertising 18 16 14 12 10 Sunsilk 8 L'oreal Others 6 4 2 0 1 2 3 4 5 6 7
14. 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 Renzil D’cruz http://RenzilDe.com http://about.me/renzilde http://linkedin.com/in/renzilde
15. 15. Mean, Mode and Median 60 50 40 Mean 30 Median Others 20 10 0 Sunsilk L'Oreal Other
16. 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. 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. 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. 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. 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. 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. 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. 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. 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 Renzil D’cruz http://RenzilDe.com http://about.me/renzilde http://linkedin.com/in/renzilde
25. 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