Quantitative Aptitude And Mathematics 15 October Iii

www.afterschoool.tk AFTERSCHOOOL MATERIAL FOR PGPSE PARTICIPANTS

Statistical Analysis

AFTERSCHOOOL – DEVELOPING CHANGE MAKERS

CENTRE FOR SOCIAL ENTREPRENEURSHIP PGPSE PROGRAMME –

World’ Most Comprehensive programme in social entrepreneurship & spiritual entrepreneurship

OPEN FOR ALL FREE FOR ALL


Statistical Analysis

Dr. T.K. Jain.

AFTERSCHOOOL

Centre for social entrepreneurship

Bikaner

M: 9414430763

[email protected]

www.afterschool.tk

www.afterschoool.tk


Find correlation between the following series?

X series 21 16 12 4 2 1

Y series 4 3 6 8 9 10


Solution . .

1. Find simple averages of these series. The averages are 9.33 and 6.66.

2. Calculate standard deviations using these averages

3. Find out covariance by multiplying the covariances.

4. Find out correlation by dividing covariance by products of standard deviations of the two series.


Solution table. . x y dx dx^2 dy dy^2 dxdy

21 4 12 ## -3 7.11 -31.1

16 3 7 44 -4 13.4 -24.4

12 6 3 7 -1 0.44 -1.78

4 8 -5 28 1 1.78 -7.11

2 9 -7 54 2 5.44 -17.1

1 10 -8 69 3 11.1 -27.89.333333 6.666667 -3E-16 56.55556 -3E-16 6.555555556 -18.22222222

8 Std. Deviations 2.56 -0.95


Solution . .

Thus correlation is -.95 answer.


Find concurrent deviations in the following 2 series?

X series 21 16 - 12 - 4 - 2 - 1 -

Y series 4 3 - 6 + 8 + 9 + 10 +


Let us take products of these signs (+ and -)

Formulae =+/- sqrt (+ or -(2c-m)/m)

C= + signs in products

M =total comparisons.

=sqrt((2-5)/5)=sqrt(-3/5)=-.7745

X Y prd- - +- + -- + -- + -- + -


There are 5 judges, who judged 6 afterschooolians on entrepreneurial skills. Find Rank correlation among them?

TarachandJudge X

1Judge Y

6

Jitendra 3 5

Arihant 2 3

Mahavir 6 1

Ram 4 2

Mukesh 5 4


Solution . .

StarX 1

Y6

(X-Y)-5

D^225

Jitu 3 5 -2 4

Arihant 2 3 -1 1

Mahvir 6 1 5 25

Ram 4 2 2 4

Mukes 5 4 1 1


Solution …

Formulae = = 1 – 6* (sum of Deviations squared)/

N(N^2-1) =1-6*60/6(36-1) =1- 360/210 =1-1.714 = -.714 answer.


ABOUT AFTERSCHOOOL 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.


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


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.


About AFTERSCHOOOL 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


Workshops from AFTERSCHOOOL 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


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


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 Indepth knowledge and expertise Professional approac: World class approach Strong intellectual and business capabilities 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


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)


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


Branches

AFTERSCHOOOL 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.


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.


Basic values at afterschoool 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 social entrepreneurship for better society

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Quantitative Aptitude And Mathematics 15 October Iii