Reg. No: XXXXX
Name: YYYYY
AIM:
Example: Finding Measures of Central Tendency, Dispersion, Skewness and
Kurtosis for the given data.
KEY WORDS:
Example:
M = Mean
MD = Median
Mode = mode
Cl = cumulative frequency
H = height of the class
F = frequency
V = variance
SD = standard deviation
CV = coefficient of variation
B1 & B2 = Pearson’s Coefficients
M1,M2,M3,M4 = Moments about mean
R-CODE:
h=10
x=seq(175,245,h)
f=c(53,68,85,92,100,95,70,28)
N=sum(f)
Reg. No: XXXXX
Name: YYYYY
M=(sum(x*f))/sum(f)
M
cl=cumsum(f)
cl
ml=min(which(cl>=N/2))
ml
F=f[ml]
F
c=cl[ml-1]
c
l=midx[ml]-h/2
MD=l+(((N/2)-c)/f)*h
MD
m=which(f==max(f))
m
fm=f[m]
fm
f1=f[m-1]
f2=f[m+1]
f1
f2
l=midx[m]-h/2
l
mode=l+((fm-f1)/(2*fm-f1-f2))*h
mode
var=((1/N)*(sum(x^2*f)))-((1/N)*(sum(x*f)))^2
var
SD=sqrt(var)
SD
CV=100*(SD/M)
CV
Reg. No: XXXXX
Name: YYYYY
M1=sum(((x-M)^1)*f)/N
M2=sum(((x-M)^2)*f)/N
M3=sum(((x-M)^3)*f)/N
M4=sum(((x-M)^4)*f)/N
B1=(M3^2)/(M2^3)
B2=(M4)/(M2^2)
B1
B2
G1=sqrt(B1)
G2=B2-3
G1
G2
CONCLUSION:
i) Mean = 208.9255
ii)
Median = 209.3391
iii)
Mode = 206.1538
iv) 1. Variance = 389.3278
2. SD = 19.73139
3. CV = 9.444221
4. B1 = 0.00336
5. B2 = 2.03125