Comprehensive analysis of the structure of the variable

S t a t i s t i c s

Comprehensive analysis of the structure of the variable

1. While working in the shoes store I faced with a task, where I supposed to make a comprehensive analysis of one variable in the population, so here used our own source.

Exercise:

X ´- age of the customers in the shoe store.

Age of the customers in the shoes store (in years)	Numbers of customers
20-25 25-30 30-35 35-40 40-45 45-50
TOTAL

Make a comprehensive analysis of the structure of the variable

20-25 25-30 30-35 35-40 40-45 45-50		22,5 27,5 32,5 37,5 42,5 47,5	337,5 937,5 807,5 1092,5		-8,3 -3,3 1,7 6,7 11.7 16,7	68,9 10,9 2,9 44,9 136,9 278,9	1033,5 52,2 1122,5 2601,1 6414,7	8,3 3,3 1,7 6,7 11,7 16,7	124,5 30,6 167,5 222,3 384,1
total		----		-------	------------------	--------------		-----------

years.

(TYT MAE BYTU TAKA PRYAMA , ALE NE ZNAYU YAK ZROBUTU NA CIOMY KOMPYUTERI

Me=36 Mo=38)

Our distribution is left skewed so more customers are above 30 years old. (More observations are above the mean years)

years

; ;

(

Dispersion: R

R=50-20=30 years

S= =9,76 years

The typical area of variation:

years.

A typical customer is between 21 and 41 years old.

= years

d < S

8 = d < S = 10

Q < d < S

7 < 8 < 10

Relative measures of dispersion.

CV =

CV =

CM =

CM =

CQ =

CQ =

Asymmetry:

distribution is left- skewed therefore more customers are above 31 years old.

= -0,7

Moderate negative asymmetry:

Me=36,

= =

= =

Summary:

Central tendency:

Q =29 years Me=36 years Q =43 years

x =20 x =50

Dispersion:

= 8 S=10 CV=32% CM 26%

years

R=30 years Q=7 years CQ=19 %

Asymmetry:

M <0 Left skewed distribution

S =-0,7 =0,7

A =0,3 A =0,3

19

18

10

20-25 25-30 30-35 35-40 40-45 45-50

Дата добавления: 2015-11-04