Question

calculate the aurthemeticmean for the following data
family :A,B,C,D,E,F,G,H,I,J
INCOM : 60,80,10,75,150,140,75,45,100,90​

Answer 1

Explanation:

Question 14:

Construct an index for the year 2016 taking 2011 as base by simple average of price relatives method

Items P Q R S

Price (in ₹) 30 50 70 90

Price (in ₹) 40 60 80 100

ANSWER:

Items Price in 2011

(P0) Price in 2016

(P1)

Price Relative=

p1p0×100

P 30 40 133.33

Q 50 60 120

R 70 80 114.29

S 90 100 111.11

Σ (p1p0×100)=478.73

Simple Average of Price Relatives

P01=Σ (p1p0×100)N=478.734=119.68

Page No 12.50:

Question 15:

Using Paasche's formula, compute the quantity index for the year 2016 with 2011 as base year.

Commodity Quantify (in Units) Value (in ₹)

2011 2016 2011 2016

A 5 100 6 150

B 100 150 500 900

C 80 100 320 500

D 60 72 150 360

E 30 33 360 297

ANSWER:

Commodity

Quantity in 2011

(q0)

Quantity in 2016

(q1) Price in 2011

(p0) Price in

2016

(p1) q1p1 q0p1

A 5 100 6 150 15000 750

B 100 150 500 900 135000 90000

C 80 100 320 500 50000 40000

D 60 72 150 360 25920 21600

E 30 33 360 297 9801 8910

235721 161260

Paasche's Index Numberq01 =Σq1 p1Σq0 p1×100 or, q01 =235721161260×100 ⇒q01=146.17