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www.afterschoool.t k AFTERSCHO OL's MATERIAL FOR PGPSE PARTICIPANTS STATISTICS FOR MANAGEMENT AFTERSCHO OL – DEVELOPING CHANGE MAKERS CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME – World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship OPEN FOR ALL FREE FOR ALL

# Statistics & Economics 6 December

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www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

STATISTICS FOR MANAGEMENT AFTERSCHO☺OL – DEVELOPING CHANGE MAKERS

CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME –

World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship

OPEN FOR ALL FREE FOR ALL

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

STATISTICS FOR MANAGEMENT

Dr. T.K. Jain.

AFTERSCHO☺OLCentre for social entrepreneurship

Bikaner M: 9414430763

[email protected]

www.afterschool.tk, www.afterschoool.tk

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

THERE ARE 2 EQUATIONS, SOLVE THEM TO MAKE EQUATION OF Y ON X

• 5A+10B=40

• 10A+25B = 95

• Solving these we get : 5b = 15 or b = 3

• 5A = 10 or A = 2.

• Y =A+BX

• Thus we have Y = 2+ 3x answer.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

WHICH OF THESE IS REGRESSION EQUATION OF Y

ON X?

• 3X+Y =13

• 2X+5Y=20

• Solving the first equation we get:

• Y = 13-3X

• Solving second equation we get:

• Y = 4 – 2/5X

• (both are regression equations).

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

If regression lines are Y=-2x+3 and 8x =-Y +3, what is correlation of X

and Y? • B = covariance/ variance X = -2

• Covariance / variance Y = -1/8

• Correlation = covariance / std dev. Of X * std. dev. Of Y

• Multiplying the above two we get:

• -2*-1/8 = ¼ let us take square root of this we get : ½ or .5 answer.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

The coefficient of concurrent deviation for p pairs of observations

was found to be 1/sqrt(3) if the number of concurrent deviations was found to be 6, the value of P

is? • =+/- sqrt(+/- (2c-m)/m)• sqrt{(12 – m)/m }= 1/sqrt(3) ( now square these)• = (12 – m)/m = 1/3 • 36 – 3m = m OR 4 m = 36 OR M= 9• No. of pairs = 10 answer.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

If regression equation of Y on X, coefficient of correlation between X and Y and variance of Y are -3/4, -sqrt(3/2) and 4 respectively. What

is variance of X?

• Covariance / stddev. Of X*Y = sqrt 3/2

• Cov^2 / VarX *Var Y = 3/2

• Cov / VarX = -3/4 (using 2nd value in 1st)

• Cov /4 = 3/2 *- 4/3 = -2 or Cov = -8

• Var X =-8 *4/-3 = 32/3 ans.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Alternate Solution . . .

• Cov / VariX = -3/4 • Cov / Std. X *Std.Y = 1.2247• Variance Y = 4• Square of 2nd equation: • Cov^2 / Var X *Var Y = 1.5• (-3/4)*cov / varY = 1.5• Cov / Var Y = 1.5 / -.75 = -2 (var Y = 4)• Cov = - 8 OR -8/Var X = -3/4• -3VarX = -32 or Var X = 32/3 answer.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

. The true discount on a bill due 10 months hence at 6% per annum is

Rs.26.25. The amount of the bill is:

• Let us assume that the amount is X

• =AMOUNT * RATE *TIME / (100+ (R*T)

• X *6*.833 / (100 +(6*.833) = 26.25

• 5X = 26.25 *105

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

A man purchased a cow for Rs. 300 and sold it the same day for

Rs. 360, allowing the buyer a credit of 9 years. If the rate of interest be 7 per annum, then the man has a

gain of:• True discount =AMOUNT * RATE *TIME / (100+ (R*T)

• =360 * 63 / 163 = 139.14

• He is having loss of 80 Rupees as the present value of 360 is only 220. ans.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

The average age of a husband and wife was 23 years when they were married 5 years ago. The average age of the husband, the wife and a

child who was born during the interval, is 20 years now. How old

is the child.

• 23*2 = 46 add 5+5 years = 56.

• However, 20*3 = 60 that means the child is 4 years old. Ans.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Out of three given numbers, the first one is twice the second and

three times the third. If the average of these numbers is 88, then the

difference between first and third is• Let us assume that the third number is 2x

• First is 6x and 2nd is 3x. The average of these is 11/3x

• 11/3x = 88 so X = 24. The difference between the first and third is 4x or 96. ans.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

A can hit a target 3 times in 5 trials or shots. B can hit 2 times in

5 trials and C can hit the target 3 times in 4 trials. They fire (i.e.,

shoot simultaneously). What is the chance that exactly 2 shots hit the

target?

• (3/5*2/5*1/4)+(2/5*2/5*3/4)+(3/5*3/5*3/4)

• =9/20 ans.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

A can hit a target 3 times in 5 trials or shots. B can hit 2 times in

5 trials and C can hit the target 3 times in 4 trials. They fire (i.e.,

shoot simultaneously). What is the chance that exactly 1 shot hits the

target?

• (2/5*2/5*1/4)+(2/5*3/5*3/4)+(3/5*3/5*1/4)

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Afterschoool conducts three year integrated PGPSE (after class 12th along with IAS / CA / CS) and 18 month PGPSE (Post Graduate Programme in Social Entrepreneurship) along with preparation for CS / CFP / CFA /CMA / FRM. This course is also available online also. It also conducts workshops on social entrepreneurship in schools and colleges all over India – start social entrepreneurship club in your institution today with the help from afterschoool and help us in developing society.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Why such a programme?

• To promote people to take up entrepreneurship and help develop the society

• To enable people to take up franchising and other such options to start a business / social development project

• To enable people to take up social development as their mission

• To enable people to promote spirituality and positive thinking in the world

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Who are our supporters?

• Afterschoolians, our past beneficiaries, entrepreneurs and social entrepreneurs are supporting us.

• You can also support us – not necessarily by money – but by being promotor of our concept and our ideas.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

About AFTERSCHO☺OL PGPSE – the best programme for developing great

entrepreneurs• Most flexible, adaptive but rigorous programme• Available in distance learning mode• Case study focused- latest cases • Industry oriented practical curriculum• Designed to make you entrepreneurs – not just

an employee• Option to take up part time job – so earn while

you learn • The only absolutely free course on internet

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Workshops from AFTERSCHO☺OL

• IIF, Delhi• CIPS, Jaipur• ICSI Hyderabad Branch• Gyan Vihar, Jaipur• Apex Institute of Management, Jaipur• Aravali Institute of Management, Jodhpur• Xavier Institute of Management, Bhubaneshwar • Pacific Institute, Udaipur• Engineering College, Hyderabad

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Flexible Specialisations:

• Spiritualising business and society• Rural development and transformation• HRD and Education, Social Development• NGO and voluntary work• Investment analysis,microfinance and inclusion • Retail sector, BPO, KPO• Accounting & Information system (with CA / CS /CMA)• Hospital management and Health care• Hospitality sector and culture and heritage• Other sectors of high growth, high technology and social

relevance

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Salient features:• The only programme of its kind (in the whole world)• No publicity and low profile course• For those who want to achieve success in life – not just a

degree• Flexible – you may stay for a month and continue the rest of

the education by distance mode. / you may attend weekend classes

• Scholarships for those from poor economic background• Latest and constantly changing curriculum – keeping pace

with the time• Placement for those who are interested• Admissions open throughout the year • Latest and most advanced technologies, books and study

material

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Components • Pedagogy curriculum and approach based on IIM Ahmedabad and ISB

Hyderabad (the founder is alumnus from IIMA & ISB Hyderabad)• Meditation, spiritualisation, and self development • Essential softwares for business• Business plan, Research projects• Participation in conferences / seminars• Workshops on leadership, team building etc. • Written submissions of research projects/articles / papers• Interview of entrepreneurs, writing biographies of entrepreneurs• Editing of journals / newsletters• Consultancy / research projects • Assignments, communication skill workshops• Participation in conferences and seminars• Group discussions, mock interviews, self development diaryng • Mind Power Training & writing workshop (by Dr. T.K.Jain)

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Pedagogy

• Case analysis,• Articles from Harvard Business Review • Quiz, seminars, workshops, games, • Visits to entrepreneurs and industrial visits• Presentations, Latest audio-visuals• Group discussions and group projects• Periodic self assessment• Mentoring and counselling• Study exchange programme (with institutions out of

India)• Rural development / Social welfare projects

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Branches

• AFTERSCHO☺OL will shortly open its branches in important cities in India including Delhi, Kota, Mumbai, Gurgaon and other important cities. Afterschooolians will be responsible for managing and developing these branches – and for promoting social entrepreneurs.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Case Studies

• We want to write case studies on social entrepreneurs, first generation entrepreneurs, ethical entrepreneurs. Please help us in this process. Help us to be in touch with entrepreneurs, so that we may develop entrepreneurs.

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

Basic values at AFTERSCHO☺OL

• Share to learn more• Interact to develop yourself• Fear is your worst enemy• Make mistakes to learn • Study & discuss in a group• Criticism is the healthy route to mutual support

and help • Ask fundamental questions : why, when, how &

where?• Embrace change – and compete with yourself

only

www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS

www.afterschoool.tk social entrepreneurship for better

society