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Sumit[1]
- 1. STATISTICS FORMULA Sumit Kanwar 17PBA044 Baddi University of emerging sciences and technology
- 2. Measure of central tedendancy Median Mean Mode
- 3. Mean Formula Individual Discrete Continuous DIRECT π΄π π π΄ππ π π΄ππ π SHORT CUT A+ π΄π π A+ π΄ππ π A+ π΄ππ π STEP DEVIATION A+ π΄ππβ² π β π A+ π΄ππ π β i (d=X-XΝ )
- 4. Mean ο΄ COMBINED MEAN π΅ πXΝ π+π΅ πXΝ π π΅π+π΅π , ο΄ WEIGHTED MEAN βπΎπΏ βπΎ
- 5. Median Individual N+1/2 (when in points add L+U/2) Continuous M= L+ π 2 βππ π β π
- 7. Measure of dispersion Quartile deviation Mean deviation Standard deviation
- 8. QUARTILE DEVIATION Individual Continuous Q1= π+1 4 Q3= 3 π+1 4 QD= π3βπ1 2 , QD=πΏ + π 4 βππ π β π Coeff. = π3βπ1 π3+π1
- 9. STANDARD DEVIATION DIRECT SHORT CUT STEP DEVIATION Individual =SD= πΊπ π π OR πΊ(πβπΝ π πΊππ± π π β ( πΊππ± π )Β² = πΊππ± π π β ( πΊππ± π )Β² β π Discrete & continuous πΊπππ±Β² π β ( πΊπππ± π )Β² πΊππ±β² π π β ( πΊππ±β² π )Β² β π dxβ= ππ± π
- 10. STANDARD DEVIATION ο΄ Coefficient of SD= Ο π AND ο΄ Coefficient of variation or C.V = Ο π β 100 ο΄ Combined SD= π΅ πΟ π+π΅ πΟ π+π΅ π π π+π΅βπ β π΅ π+π΅β
- 11. MEAN DEVIATION Individual Discrete & CONTINOUS COFFICENT MD= π΄βπ π MD= π΄πβπβ π ππ· ππΈπ·πΌπ΄N ππ ππΈπ΄π
- 12. SKEWNESS Karl pearson Bowleey Kelly π¦πππ§ β π¦π¨ππ πΊπ« πΈπ + πΈπ β π π΄π¬π«π°π¨π΅ πΈπ β πΈπ π π + π π β ππππ π π β π π
- 13. Weighted aggregative Methods Formula Price Quantity Laspeyreβs Ξ£p1q0 Ξ£p0q0 β 100 Ξ£q1p0 Ξ£q0p0 β 100 Paascheeβs Ξ£p1q1 Ξ£p0q1 β 100 Ξ£q1p1 Ξ£q0p1 β 100 Fisherβs Ξ£p1q0 Ξ£p0q0 β Ξ£p1q1 Ξ£p0q1 β 100 Ξ£q1p0 Ξ£q0p0 β Ξ£q1p1 Ξ£q0p1 β 100 Dorbish & Bowleyβs Ξ£p1q0 Ξ£p0q0 + Ξ£p1q1 Ξ£p0q1 β 100 2 Ξ£q1p0 Ξ£q0p0 + Ξ£q1p1 Ξ£q0p1 β 100 2 Marshall edgeworthβs Ξ£p1q0 + Ξ£p1q1 p0q0 + p0q1 β 100 Ξ£q1q0 + Ξ£q1p1 Ξ£q0p0 + Ξ£q0p1 β 100
- 14. INDEX NUMBERS ο΄ Time Reversal Test : P01 X P10 = 1 ο΄ Factor Reversal Test P01 XQ01 = Ξ£P1q1/Ξ£P0q0
- 15. CORELATION (Actual mean) Assumed mean) Actual data r= π΄π₯π¦ π΄π₯2.π΄π¦2 r= π.π΄ππ₯ππ¦βπ΄ππ₯.π΄ππ¦ ππ΄ππ₯Β²β π΄ππ₯ 2. π.π΄ππ¦Β²β(π΄ππ¦)Β² r= π.π΄ππβπ΄π.π΄π π.π΄πΒ²β π΄π 2. π΄πΒ²β(π΄π)Β²
- 16. When ranks are not given
- 17. Rank are equal ο΄R = 1 β 6[βπ·2+ 1 12 (π3βπ)+ 1 12 (π3βπ) π3βπ
- 18. REGRESSION 1.Y on X Y=a+ bX Ξ£Y=Na+bΞ£x Ξ£XY=aΞ£X+bΞ£XΒ² 2.X on Y X=a+ bY Ξ£X=Na+bΞ£Y Ξ£XY=aΞ£Y+bΞ£YΒ²
- 19. Equation using coefficient (Using Mean) 1.Y on X Y- XΜ ) byx= π.π΄π₯π¦βπ΄π₯.π΄π¦ π.π΄π₯Β²β(π΄π₯)Β² 2.X on Y X-XΜ =bxy(Y- bxy= π.π΄π₯π¦βπ΄π¦.π΄π₯ π.π΄π¦Β²β(π΄π¦)Β²
- 20. Assumed mean 1.Y on X Y-YΜ =byx(X-XΜ ) byx= π.π΄ππ₯ππ¦βπ΄ππ₯.π΄ππ¦ π.π΄ππ₯Β²β(π΄ππ₯)Β² 2. X on Y X-XΜ =bxy(Y-YΜ ) bxy= π.π΄ππ₯ππ¦βπ΄ππ¦.π΄ππ₯ π.π΄ππ¦Β²β(π΄ππ¦)Β²
- 21. Time series Least square method ο΄ YC = a +bx ο΄ if x =0 then ο΄ a = βy π ο΄ b = βxy βxΒ²