M.A. (Semester (CBCS) Examination Oct/Nov-2017
Economics
QUANTITATIVE TECHNIQUES FOR ECONOMICS I
Day Date: Saturday, 18-11-2017 Max. Marks: 70
Time: 10.30 AM to 01.00 PM
Instructions: All questions are compulsory.
Calculator is permitted.
Q.1 Choose the correct answer from the given alternatives: 14
is not calculating open end classes.
Mode Mean and Median
Median Mean
Simple Correlation studies
One Variable Two Variable
Three Variable More than three
Partial Correlation studies
One Variable Two Variable
Three Variable More than two
Correlation coefficient lies between
to 10 1 to 1
0 to None of them
If, mean value is 50 and standard deviation is 5 than coefficient of variation is

10 5
50 500
Dispersion means
Variations Fluctuations
Scatteredness All the above
If, Intercept 10 and Slope 5 in case of regression line of Y on Find
value of When X=3.
53 18
35 25
Q.2 Solve Problem. (Any 4 out of 14
Problem: Calculate Mean for the following data.
FDI (Rs. Cr.) 10-20 20-30 30-40 40-50 50-60
No. of Company 20 30 40 50 10
Problem: Calculate Mode for the following data.
Expenditure 10-20 20-30 30-40 40-50 50-60
No. of Family 200 300 1000 300 200
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SLR-HE-2
Problem: Calculate Median for the following continuous frequency
distribution.
Apple Prod. 20-30 30-40 40-50 50-60 60-70
No. of Growers 200 1000 500 300 200
Problem: Calculate Standard Deviation and Mean for the following data.
Investment 10-20 20-30 30-40 40-50 50-60
No. of Institutions 200 600 500 300 200
Problem: Calculate Standard Deviation and Mean for the following data.
Total Marks 480 490 510 520 600
No. of Students 1 2 4 2 1
Q.3 Solve problem. (Any 2 out of 14
Problem: Calculate Mean and Median and Coefficient of 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: Calculate Karl Pearson's Coefficient of Correlation for the
following data.
X 50 60 70 80 90
Y 20 30 40 50 60
Problem: Calculate Spearman'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 50 100
Q.4 Solve problem. (Any 1 out of 14
Problem: Calculate Karl Pearson's Coefficient of Correlation for the
following data.
X 30 30 50 60 70 80 90 10 20 40
Y 30 30 20 30 40 50 70 10 20 20
Problem: Calculate Spearman's Rank Coefficient of Correlation for the
following data.
X 500 425 600 250 600 699 605 900 199 999
Y 251 425 250 250 300 400 450 145 250 250
Q.5 Solve problem 14
Problem: Find two line of regression equation and estimate the following value.
X 10 30 50 70 90
Y 11 12 13 14 14
Estimate Y variable value, when X is 20 in Regression line of Y on X.
ii) Estimate X variable value, when Y is 10 in Regression line of X on Y.