# statistic project on hero motocorp

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- 1. Hero Motocorp Ltd. For the Hero within

2. Introduction Hero MotoCorp is more than a national brand Worlds largest two wheeler manufacturing company Wider choice of globally-benchmarked products at competitive prices 3. Research Tools: Primary data: Questionnaire (Data collected outside the college.) Sample Size: 50 nos Secondary data: Annual reports of the company from website of company. 4. Questionnaire 1. Which bike you like the most? (a) Bajaj (b)TVS (c)Hero Motocorp (d) Yamaha (e) Others_______ 2. Which bike of Hero Motocorp you like the most? (a) CD Dawn (b) Splendor (c) Passion (d) Karizma (e) Others_______ 3. Do you own a Hero Motocorp Bike? (a) Yes (b) No 4. If yes Which Hero Motocorp Bike? ________________________________________________________ 5. Why you brought Hero Motocorp Bike? Utility Vehicle (b) Status Symbol (c) Style 6. What ranking you would give to following features of Hero Motocorp bike? Fuel Consumption Engine Capacity Average Mileage 7. Rate the Hero Motocorp bike on the level of satisfaction? Highly Satisfactory 1 ___2____3____4____5 Highly unsatisfactory 8. How much you spend on servicing of Hero Motocorp Bike 0-1000 (b)1000 -2000 (c) 2000-3000 (d) 3000-4000 9. Do you have faith on Hero Motocorp Brand (a)Yes (b) No 5. Share Holding Pattern Share Holding pattern %ge 360o Promoters 52.21 187.95 MF 1.15 4.14 FI/ Banks 0.12 0.43 Insurance co 3.89 14.00 FII 32.79 118.04 Corporate Bodies 1.91 6.87 Indian Public 7.16 25.77 Others 0.77 2.77 52% 1%0% 4% 33% 2% 7% 1% Promoters MF FI/ Banks Insurance co FII Corporate Bodies Indian Public Others Source: Annual Report 2010-2011 6. Mean Mean is the mathematical average of set of numbers. The average is calculated by adding up two or more scores and dividing the total by the number of scores. Advantages: Finds the most accurate average of the set of numbers. Disadvantages: Outliers can change the mean a lot..Making it much lower/higher than it should be 7. Mean Age Group Number (f) Mid-point(x) Fx 20-24 28 22 616 24-28 10 26 260 28-32 8 30 240 32-36 4 34 136 50 1252 Mean is 25.04 Which Means data is collected from persons of average age of 25 Yrs. X=fx n 8. Geometric Mean Year Return on Average Capital Employed At Base of 100 Logx 2013-2012 62.3% 162.3 2.2103 2012-2011 76.4% 176.4 2.2465 2011-2010 50.9% 150.9 2.1786 2010-2009 49% 149 2.1732 2009-2008 51.6% 151.6 2.1807 10.9893 Elogx = 10.9893/5 = 2.1979 GM = Antilog(Elogx) = Antilog(2.1979) GM = 157.7 = 57.7% 9. Mode Mode is defined as the value which occurs maximum number of times i.e. having maximum frequency. Advantages: Allows you to see what value happened the most in a set of data. This can help you to figure out things in a different way. It is also quick and easy. Disadvantages: Could be very far from the actual middle of the data. The least reliable way to find the middle or average of the data. 10. Mode Which bike you like the most f Bajaj 10 TVS 7 Hero Motocorp 18 Yamaha 13 Others 2 Mode is a value which occurs maximum number of times that is having maximum frequency Here we can see Hero Motocorp has maximum frequency of 18 which means Hero Motocorp bikes are used most amongst samples collected 11. Which bike of Motocorp you like the most? 0 5 10 15 20 25 CD Dawn Splendor Passion Karizma Others From bar diagram we can conclude that Splendor is most liked bike of Hero motocorp 12. Median Median is the measure of central tendency which appears in the middle of an ordered sequence of values. I.e. half of the observations in a set of data are lower than it and half of the observations are greater than it. Advantage: Finds the middle number of a set of data, so outliers have little or no effect. Disadvantage: If the gap between some numbers is large, while it is small between other numbers in the data, this can cause the median to be a very inaccurate way to find the middle of a set of values. 13. Median Price range f cf 0-1000 05 05 1000-2000 26 31 2000-3000 15 46 3000-4000 04 50 Median class lies between 1000-2000 Median = L+ n/2 - (P.C.F) x i f = 1000 + 25- 5 x 1000 26 =1000+ 0.7692x1000 =1769.20 It means positional average is 1769.20 14. Standard Deviation Standard deviation is by far the most important and widely used measure of studying variation.It shows how much variation or dispersion there is from the average (mean, or expected value). A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data points are spread out over a large range of values. It significance lies in the fact that it is free from defects which earlier method suffered and satisfies most of the properties of a good measure of variation. 15. Standard Deviation Years Profit After Tax x-x (x x)2 2013-12 9.9 -0.56 0.31 2012-11 14.1 3.64 13.25 2011-10 10.4 -0.06 0.00 2010-09 9.3 -1.16 1.35 2009-08 8.6 -1.86 3.46 total 52.3 18.37 SD = E(X-X)2 n SD = 18.37/5 SD = 1.92 16. Correlation If 2 quartiles vary in such a way that movement in one is accompanied by the movement in other, these quantities are said to be co-related. For e.g. there exists some co-relation between family income and expenditure on luxury items or the price of commodity and the demand. The statistical tool with the help of which relations between these variables is studied is called as co-relation. If one variable is increasing and other on an average is also increasing or if one variable is decreasing and the other on an average is also decreasing co-relation is said to be positive. On the other hand if the variables are varying in the opposite directions i.e. if one variable is increasing and the other is decreasing or vice-versa co-relation is said to be negative. 17. Correlation Correlation between Advertising Expenses & Sales. Sales(x)in (000s) Advt (y) x(x-a) y(y-a) x2 y2 x.y 5402 382.6 1680 133 2822400 17689 223440 4600 364.97 878 115.37 770884 13310.24 101294.9 3722 249.6 0 0 0 0 0 3337 221.78 -385 -27.82 148225 773.9524 10710.7 3336 241.43 -386 -8.17 148996 66.7489 3153.62 1787 212.38 3890505 31839.94 338599.2 18. FORMULAE: Correlation = Exy Ex.Ey Correlation = 0.96 19. Scatter Diagram 0 50 100 150 200 250 300 350 400 450 0 1000000 2000000 3000000 4000000 5000000 6000000 Strongly Positive 20. Regression Regression analysis is described as explanation of unknown value of a variable with the help of known value of another variable There are two lines of regression (1) y on x (2) x on y 21. Regression Sales(x) (in 000s) R&D (y) (in Crores) x2 y2 Xy 2010-11 5402 32.15(2008-09) 291816 04 1033.6225 173674.3 2009-10 4600 30.31(2007-08) 211600 00 918.6961 139426 2008-09 3722 32.30(2006-07) 138532 84 1043.29 120220.6 13724 94.76 641948 88 2995.6086 433320.9 X = 13724/3 = 4574.66 Y = 94.76/3 = 31.59 bxy = Exy/n x y Ex2/n x2 byx = Exy/n x y Ey2/n y2 22. bxy = 433320.9/5 - 144513.5094 64194888/5 - 20927514.12 = 0.0071 byx = 433320.9/5 - 144513.5094 2995.6086/5 997.9281 =145.06 y on x y y = byx(x-x) y= 145.06(x-4574.66)+31.59 y = 145.06x-663568.59 x on y x-x = bxy(y-y) x = 0.0071(y-31.59)+4574.66 x = 0.0071y +4574.44 23. HYPOTHESIS Sampling distribution: A probabilty of all possible means of samples is a distribution of sample mean . Satisically called as sampling distribution of means. 24. H0: MtH0 = buy hero motorcop product H0: MtH0 buy hero motorcop product where , Mean of sample (x) = 25.04 S.D = 1.92 No. of sample size (n)= 50 M = 25. Thank You

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