M.A.(Economics) (Semester (CBCS) Examination, 2017
QUANTITATIVE TECHNIQUES FOR ECONOMICS-I iI
Day Date: Thursday, 20-04-2017 Max. Marks: 70
Time: 10.30 AM to 01.00 PM
N.B. All questions are compulsory.
Calculator is permitted.
Q.1 Choose the correct answer from the given alternatives: 14
Coefficient of Correlation between sale of woolen cloth and day
temperature.
Zero One Negative Positive
Price and Demand is
Negatively correlated Positively correlated
Zero correlated None of the above
Correlation coefficient lies between
to 10 1 to 1 0 to None of them
If, mean value is 500 and standard deviation is 5 than coefficient of
variation is
1 5 50 500
Dispersion means
Variations Fluctuations
Scatteredness All the above
If, Intercept -20 and Slope 10 in case of regression line of Y on
Find value of Y When X=3.
203 10 -13 33
If, Intercept 10 and Slope 5 in case of regression line of Y on
Find value of When X=2.
52 17 25 20
Q.2 Solve Problem (any 4 out of 14
Problem: Calculate Arithmetic Mean for the following data.
Investment 10-20 20-30 30-40 40-50 50-60
No. of Companies 200 300 500 300 200
Problem: Calculate Medium for the following data.
Marks 10-20 20-30 30-40 40-50 50-60
No. of Students 20 30 100 30 20
Problem: Calculate Mode for the following continuous frequency
distribution.
Saving (Rs.00) 20-30 30-40 40-50 50-60 60-
70
No. of Families 20 30 100 30 20
Problem: Calculate Range, Relative Range and standard Deviation
for following data.
Income (Rs.00) 10-20 20-30 30-40 40-50 50-60
No. of Families 2 3 10 3 2
Problem: Calculate Range, Relative Range and Standard Deviation
for following data.
Investment (Rs.00) 20-30 30-40 40-50 50-60 60-70
No. of Banks 20 30 50 30 20
Q.3 Solve problem (Any 2 out of 14
Problem: Calculate Mean and Median and Coefficient or Variation
from given data.
Wages (Rs.00) 30-40 40-50 50-60 60-70 70-80
No. of Workers 100 200 400 200 100
Problem:2: Calculate Karl Pearson's Corfficient of Correlation for the
following data.
X 50 60 70 80 90
Y 20 30 40 50 60
Problem: Calculate Sepearman's Rank Coefficient of Correlation for
the following data.
X 50 58 42 60 20 25 65 69 67 90 15 10
y 25 18 45 20 30 50 34 40 40 15 50 10
0
Q.4 Solve problem (any 1 out of 14
Problem: Calculate Karl Pearson's Coefficient of Correlation for the
following data.
Income X 50 60 70 80 90 10
20 40
Consumption Y 20 30 40 50 70 10
20 20
Problem: Calculate Spearman's Rank Coefficient of Correlation for
the following data.
Q.5 Solve problem 14
Problem: Find two line of regression equation and estimate the following
value.
X 50 50 30 30 20
Y 11 11 12 12 14
Estimate Y variable value, when X is 10 in Regression line of Y
on X.
ii) Estimate X variable value, when Y is 9 in Regression line of X
on Y.