Business Statistics Formulas 5l4s6d

Name : Class : Section : Roll No :

BUSINESSSTATISICS FORMULAE

BUSINESS STATISTICS FOMRULAE S.No Calculatio . n 1

2

Formula Explanation

Arithmetic Mean

∑ fX

X

Median “M”

N

N −m 2 L+ C f

L+ 3

Mode “Z”

4

Geometric Mean “G.M.”

5

Harmonic Mean “H.M.”

Designed by S.V.Nikethan. 8019958900

f=frequency, x=Midvale’s, N=total of frequency, fX = f × x L = lower limit of Median class, N=total of frequency, m = the preceding item to the Median class in cumulative frequency. f = frequency of Median class L = lower limit of Mode class, C f1 = frequency of Mode class, f0 = preceding of Mode class in frequency f2 = succeeding of Mode class in frequency C = width of the class

f 0− f 0 2 f 1 − f 0 −f 2

[

A ntilog

N

n

]

n = no. of items in a series

1 n ∑ fi log X i N = total frequency N i =1 fi log Xi = product of

log Xi

with frequency.

fi

∑ xi i= 1

N = total frequency n = no. of items in a series

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6

Lower Quartile Q1

7

Upper Quartile Q3

8

9

Decile Dn

Percentile Pn

N −m 4 L+ f

L+

3(

C

N )− m 4 f

N n( )− m L + 10 C f n(

N +1 ) 100

th

Range

L− S

Co efficient 10 B of Range

L− S L+ S

10 A

Quartile 11 A Deviation QD Co efficient 11 B of QD 12 A Mean Deviation MD

12 B

Co efficient of MD

Designed by S.V.Nikethan. 8019958900

C

item

Q3 − Q1 2

Q3 − Q1 Q3 + Q1

∑ fdy N

MD X/M/Z

L = lower limit of Quartile class, N=total of frequency, m = the preceding item to the Quartile class in cumulative frequency. f = frequency of Quartile class L = lower limit of Quartile class, N=total of frequency, m = the preceding item to the Quartile class in cumulative frequency. f = frequency of Quartile class L = lower limit of Quartile class, N=total of frequency, m = the preceding item to the Quartile class in cumulative frequency. f = frequency of Quartile class n = no. of percent N = total of frequency in a series L = largest item in a series S = smallest item in a series L = largest item in a series S = smallest item in a series Q3 = Upper Quartile Q1 = Lower Quartile Q3 = Upper Quartile Q1 = Lower Quartile N = Sum of frequency in a series

∑ fdy = Sum of product of frequency with deviation

MD = Mean Deviation X = Arithmetic mean M = Median Z = Mode MD X

= Mean Deviation is

divided by Mean

Pg # 3

Note : For Individual series, only x value has taken & in Discrete series, both f & x values For any print deg works -

Designed by S.V.Nikethan. 8019958900

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