 |
STA304 ASSIGNMENT NO. 1 FALL 2022 |
0325-6644800
kamranhameedvu@gmail.com
STA304 ASSIGNMENT NO. 1 FALL 2022 || 100% RIGHT SOLUTION || APPLIED STATISTICS || BY VuTech
KINDLY, DON’T COPY PASTE
STA304
APPLIED
STATISTICS
ASSIGNMENT
NO. 1
FALL 2022
LAST DATE: 22-11-2022
Question 1:
Given the prices of three commodities, Using 1990 as
the base period, compute, simple average of relatives price indices using
i. A.M
ii. Median
|
Year |
Prices |
||
|
A |
B |
C |
|
|
1990 |
30.00 |
12.00 |
20.00 |
|
1991 |
35.50 |
13.50 |
23.50 |
|
1992 |
32.50 |
14.50 |
25.00 |
|
1993 |
32.50 |
14.00 |
25.00 |
Solutions:
Price Relatives
|
Year |
Price Relatives |
||
|
A |
B |
C |
|
|
1990 |
(30.00/30.00)*100= 100 |
(12.00/12.00)*100 |
(20.00/20.00)*100=100 |
|
1991 |
(35.50/30.00)*100=101.6 |
(13.50/12.00)*100 = 112.5 |
(23.50/20.00)*100=117.5 |
|
1992 |
(32.50/30.00)*100=108.3 |
(14.50/12.00)*100 = 120.8 |
(25.00/20.00)*100=125 |
|
1993 |
(32.50/30.00)*100=108.3 |
(14.00/12.00)*100=116.6 |
(25.00/20.00)*100=125 |
Now A.M and Median
A.M = `\frac{Sum of all
observations}{Total number of Observations}`
|
Year |
Price Relatives |
Total |
A.M |
Median |
||
|
A |
B |
C |
||||
|
1990 |
100 |
100 |
100 |
300 |
300/3=100 |
100 |
|
1991 |
101.6 |
112.5 |
117.5 |
331.6 |
331/3=110.53 |
112.5 |
|
1992 |
108.3 |
120.8 |
125 |
354.1 |
354.1/3=118.03 |
120.8 |
|
1993 |
108.3 |
116.6 |
125 |
349.9 |
349.9/3=116.63 |
116.6 |
www.vutechofficial.blogspot.com
Question 2
The following table gives the production of cotton
cloth (in million yards) for Pakistan from 1954 to 1963.
|
Year |
1954 |
1955 |
1956 |
1957 |
1958 |
1959 |
1960 |
1961 |
1962 |
1963 |
|
Production |
282 |
389 |
438 |
470 |
511 |
555 |
564 |
630 |
662 |
681 |
Find out the index numbers by taking:
i. 1954
as base year
ii. Average
of 1958,59,60 as base period.
Solution
i. 1954
as base year
|
Year Production |
Price Relatives |
|
|
1954 as base year |
||
|
1954 |
282 |
(282/282)*100=100 |
|
1955 |
389 |
(389/282)*100=137.94 |
|
1956 |
438 |
(438/282)*100=155.32 |
|
1957 |
470 |
(470/282)*100=166.67 |
|
1958 |
511 |
(511/282)*100=181.21 |
|
1959 |
555 |
(555/282)*100=196.81 |
|
1960 |
564 |
(564/282)*100=200 |
|
1961 |
630 |
(630/282)*100=223.40 |
|
1962 |
662 |
(662/282)*100=234.75 |
|
1963 |
681 |
(681/282)*100=241.49 |
ii. Average
of 1958,59,60 as the base period.
Average of 1958,59,60 = `\frac{511
+ 555 + 564}{3}` = `\frac{1630}{3}` = 543.33
|
Year Production |
Price Relatives |
|
|
1954 as base year |
||
|
1954 |
282 |
(282/543.33)*100=51.90 |
|
1955 |
389 |
(389/543.33)*100=71.59 |
|
1956 |
438 |
(438/543.33)*100=80.61 |
|
1957 |
470 |
(470/543.33)*100=86.50 |
|
1958 |
511 |
(511/543.33)*100=94.04 |
|
1959 |
555 |
(555/543.33)*100=102.15 |
|
1960 |
564 |
(564/543.33)*100=103.80 |
|
1961 |
630 |
(630/543.33)*100=115.95 |
|
1962 |
662 |
(662/543.33)*100=121.84 |
|
1963 |
681 |
(681/543.33)*100=125.34 |
Visit Website For More Solutions
www.vutechofficial.blogspot.com
KINDLY, DON’T COPY PASTE
SUBSCRIBE, SHARE, LIKE AND COMMENTS FOR MORE UPDATES
SEND WHATSAPP OR E-MAIL FOR ANY QUERY
0325-6644800
kamranhameedvu@gmail.com