business statistics formulas
DESCRIPTION
Statistics formuleTRANSCRIPT
Name : Class : Section : Roll No :
BUSINESSSTATISICS FORMULAE
BUSINESS STATISTICS FOMRULAE
S.No.
Calculation
FormulaExplanation
1Arithmetic Mean
f=frequency, x=Midvale’s, N=total of frequency,
= f × x
2 Median “M”
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
3 Mode “Z”
L = lower limit of Mode class,f1 = frequency of Mode class,f0 = preceding of Mode class in frequencyf2 = succeeding of Mode class in frequencyC = width of the class
4 Geometric Mean “G.M.”
n = no. of items in a seriesN = total frequency
= product of with frequency.
5 Harmonic Mean “H.M.”
N = total frequencyn = no. of items in a series
Designed by S.V.Nikethan. Pg # 2 8019958900
6 Lower QuartileQ1
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
7Upper Quartile Q3
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
8 Decile Dn
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
9 Percentile Pn th item n = no. of percent
N = total of frequency in a series
10 ARange L = largest item in a series
S = smallest item in a series
10 B Co efficient of Range L = largest item in a series
S = smallest item in a series
11 AQuartile Deviation QD
Q3 = Upper QuartileQ1 = Lower Quartile
11 BCo efficient of QD
Q3 = Upper Quartile Q1 = Lower Quartile
12 A Mean Deviation MD
N = Sum of frequency in a series
= Sum of product of
frequency with deviation
12 B = Mean Deviation = Arithmetic mean
Designed by S.V.Nikethan. Pg # 3 8019958900
Co efficient of MD
= Median = Mode
= Mean Deviation is
divided by Mean
13A
Standard Deviation “SD”
f = frequencyx = mid valuedx = deviation from mean d x2 = squared of dxfd x2 = frequency multiplied by dx2
=sum of fd x2
= squared root of
N = total of items in a series
13 BCo efficient of SD SD = Standard Deviation
= Arithmetic mean
13 C Co efficient of variants “CV”
SD = Standard Deviation
= Arithmetic mean
14 A Karl Person ‘s co efficient of skewness
SD = Standard Deviation
= Arithmetic mean
Z = Mode
15 A Bowley ‘s co efficient of skewness
Q1 = Lower QuartileQ3 = Upper QuartileM = Median
16 Actual skewness
= Arithmetic mean = Mode
Designed by S.V.Nikethan. Pg # 4 8019958900
17 Simple Aggregate (Price)
= prices of base
year = prices of current
year
= Sum of
commodity prices of current year
= Sum of
commodity prices of base year
18 Simple Aggregate (Quantity)
= Quantities of base year
= Quantities of current year
= Sum of
commodity quantity of current year
Designed by S.V.Nikethan. Pg # 5 8019958900
= Sum of
commodity quantity of base year
19 Reversal Index Numbers
= Quantities of base year
= Quantities of current year
= Sum of
commodity quantity of current year
= Sum of
commodity quantity of base year
20 Simple Averages (A.M.)
By using
= prices of base
year = prices of current
year
= Sum of
commodity prices of current year
= Sum of
commodity prices of base year
21ALaspeyere’s Index Numbers( Price )
21BLaspeyere’s Index Numbers( Quantity )
Designed by S.V.Nikethan. Pg # 6 8019958900
22 A
Paasche’s Index Numbers( Price )
22 B
Paasche’s Index Numbers ( Quantity)
23 A
Bowley’s Index Numbers( Price )
OR
24 Fisher’s Index Numbers( Price )
OR
24 Marshall Edzewarth’s Index Numbers( Price )
OR
25 Kelly’s Index Numbers( Price )
26 Time Reversal Test
Designed by S.V.Nikethan. Pg # 7 8019958900
26 Factor Reversal Test
27 Consumer Price Index Numbers & Cost of living index numbers
R = RelativesW = Weights
= Sum of Relatives multiplied by Weights
= Sum of weights
Note : For Individual series, only x value has taken & in Discrete series, both f & x values
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Designed by S.V.Nikethan. Pg # 8 8019958900