19 august statistics for business and management
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www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
STATISTICAL ANALYSIS
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
STATISTICAL ANALYSISDr. T.K. Jain.
AFTERSCHO☺OLCentre for social entrepreneurship
BikanerM: 9414430763
www.afterschoool.tk
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
CALCULATE MEAN DEVIATION FROM THE FOLLOWIND DATA? X
23
24
28
35
39
49
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
SOLUTION . . Step 1. prepare average of the numbers Step 2: find Dx or deviation of each
number from the mean. (ignore plus or minus signs)
Step 3: find our average of Dx. Mean deviation is available to us Answer = 8.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution x Dx
23 1024 928 535 239 649 1633 8
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Find mean deviation from the following series?
X
frequency (f) FX Dx fdx
1 23 23 2.8852 66.363 45 135 0.8852 39.845 32 160 1.1148 35.677 21 147 3.1148 65.419 1 9 5.1148 5.115
122 474 212.43.89 1.741
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
SOLUTION . . MEAN DEVIATION = 1.74 Steps: 1. multiply X with F and get FX X = values, F = frequency Divide sum of FX by sum of F (total frequency). You
will get average = 3.89 Find DX by taking difference of X and Average. Now
multiply DX by F. we get FDX. Get average of FDX by dividing it by sum of
frequency. We get answer 1.74 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Find Mean Deviation from the following data?
X Frequency
1 2
2 12
3 23
4 15
5 9
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution . . X F
1 2 2 2 4.562 12 24 1 15.33 23 69 0 6.414 15 60 1 10.85 9 45 2 15.5
61 200 52.63.3 0.86
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Answer . . Mean deviation is .86 (see excel sheet for details).
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Find mean deviation from Median from the following data. . : 80, 75, 70, 52, 56, 68, 82? STEP 1: ARRANGE THE DATA IN
ASCENDING ORDER. STEP 2: FIND THE MID VALUE = HERE
IT IS 70. THIS IS MEDIAN. STEP 3: FIND Dx (DIFFERENCE)
FROM MEDIAN. FIND AVERAGE OF Dx.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution . .
x Dx52 1856 1468 270 075 580 1082 12
618.7
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution .. Check the excel notes for this and final
answer is 8.7 answer.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Find MEDIAN from the following data? (see excel table). Use the following formulae to find
MEDIAN: 1. SUM UP ALL THE FREQUENCY. IT
IS 50. DIVIDE 50 BY 2 = 25. FIND OUT WHERE IS 25. 25 LIES IN
THE GROUP 60 TO 70. NOW APPLY FORMULAE . .
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
SOLUTION . . . L + (N/2) – p1/ (t-p1) *c =L = THE LOWER LIMIT OF CLASS. N = TOTAL FREQUENCY P1 = TOTAL OF PREVIOUS
FREQUENCY SET T = TOTAL OF MEDIAN CLASS C = GAP IN THE MEDIAN CLASS.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
SOLUTION . . . L = 60 N = 50 (TOTAL FREQUENCY) P1 = 20 (TOTAL UPTO LESS THAN 60) T = 40 (TOTAL UPTO LESS THAN 70) C = (70 – 60) = 10 (gap of median class) =60 + (25-20) / (40-20) *10 60 + 2.5 =62.5 ANSWER.
www.afterschoool.tk AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
Solution table : X Fry range f midLess than 50 8 40-50 8 45less than 60 20 50 - 60 12 55less than 70 40 60-70 20 65less than 80 50 70 -80 10 75
50
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 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 AFTERSCHO☺OL's MATERIAL FOR PGPSE PARTICIPANTS
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