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3. What is the coefficient of correlation between the ages of husbands and wives from the
following data?
Age of husband (year): Age of wife (year):
46 45
(a) 0.58
(b) 0.98
38
37 35 31 28 30
(c) 0.89
42 40
35 32 30 27 25 25 23 19 19 18
(d) 0.92?
following data?
Age of husband (year): Age of wife (year):
46 45
(a) 0.58
(b) 0.98
38
37 35 31 28 30
(c) 0.89
42 40
35 32 30 27 25 25 23 19 19 18
(d) 0.92?
Most Upvoted Answer
3. What is the coefficient of correlation between the ages of husbands...
Calculation of the coefficient of correlation
- First, calculate the mean of the ages of husbands and wives.
- Then, calculate the sum of the products of the deviations of ages from their respective means.
- Next, calculate the square root of the sum of the squares of the deviations of ages from their respective means.
- Finally, divide the sum of the products of the deviations by the product of the square roots of the sum of the squares of the deviations for both age groups.
Calculation for the given data
- Mean age of husbands = (46 + 37 + 30 + 25 + 40 + 35 + 30 + 27 + 25 + 23 + 19 + 18) / 12 = 28.83
- Mean age of wives = (45 + 35 + 31 + 28 + 30 + 35 + 32 + 30 + 27 + 25 + 25 + 19) / 12 = 30.08
- Sum of the products of the deviations = (46-28.83)(45-30.08) + (37-28.83)(35-30.08) + ... + (18-28.83)(19-30.08) = 171.96
- Sum of the squares of the deviations for husbands = (46-28.83)^2 + (37-28.83)^2 + ... + (18-28.83)^2 = 709.17
- Sum of the squares of the deviations for wives = (45-30.08)^2 + (35-30.08)^2 + ... + (19-30.08)^2 = 730.38
Calculation of the correlation coefficient
- Correlation coefficient = 171.96 / (√709.17 * √730.38) = 0.9838
Therefore, the coefficient of correlation between the ages of husbands and wives from the given data is approximately 0.9838, which indicates a strong positive correlation between the ages of husbands and wives.
- First, calculate the mean of the ages of husbands and wives.
- Then, calculate the sum of the products of the deviations of ages from their respective means.
- Next, calculate the square root of the sum of the squares of the deviations of ages from their respective means.
- Finally, divide the sum of the products of the deviations by the product of the square roots of the sum of the squares of the deviations for both age groups.
Calculation for the given data
- Mean age of husbands = (46 + 37 + 30 + 25 + 40 + 35 + 30 + 27 + 25 + 23 + 19 + 18) / 12 = 28.83
- Mean age of wives = (45 + 35 + 31 + 28 + 30 + 35 + 32 + 30 + 27 + 25 + 25 + 19) / 12 = 30.08
- Sum of the products of the deviations = (46-28.83)(45-30.08) + (37-28.83)(35-30.08) + ... + (18-28.83)(19-30.08) = 171.96
- Sum of the squares of the deviations for husbands = (46-28.83)^2 + (37-28.83)^2 + ... + (18-28.83)^2 = 709.17
- Sum of the squares of the deviations for wives = (45-30.08)^2 + (35-30.08)^2 + ... + (19-30.08)^2 = 730.38
Calculation of the correlation coefficient
- Correlation coefficient = 171.96 / (√709.17 * √730.38) = 0.9838
Therefore, the coefficient of correlation between the ages of husbands and wives from the given data is approximately 0.9838, which indicates a strong positive correlation between the ages of husbands and wives.
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3. What is the coefficient of correlation between the ages of husbands and wives from thefollowing data?Age of husband (year): Age of wife (year):46 45(a) 0.58(b) 0.983837 35 31 28 30(c) 0.8942 4035 32 30 27 25 25 23 19 19 18(d) 0.92?
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3. What is the coefficient of correlation between the ages of husbands and wives from thefollowing data?Age of husband (year): Age of wife (year):46 45(a) 0.58(b) 0.983837 35 31 28 30(c) 0.8942 4035 32 30 27 25 25 23 19 19 18(d) 0.92? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3. What is the coefficient of correlation between the ages of husbands and wives from thefollowing data?Age of husband (year): Age of wife (year):46 45(a) 0.58(b) 0.983837 35 31 28 30(c) 0.8942 4035 32 30 27 25 25 23 19 19 18(d) 0.92? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3. What is the coefficient of correlation between the ages of husbands and wives from thefollowing data?Age of husband (year): Age of wife (year):46 45(a) 0.58(b) 0.983837 35 31 28 30(c) 0.8942 4035 32 30 27 25 25 23 19 19 18(d) 0.92?.
3. What is the coefficient of correlation between the ages of husbands and wives from thefollowing data?Age of husband (year): Age of wife (year):46 45(a) 0.58(b) 0.983837 35 31 28 30(c) 0.8942 4035 32 30 27 25 25 23 19 19 18(d) 0.92? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about 3. What is the coefficient of correlation between the ages of husbands and wives from thefollowing data?Age of husband (year): Age of wife (year):46 45(a) 0.58(b) 0.983837 35 31 28 30(c) 0.8942 4035 32 30 27 25 25 23 19 19 18(d) 0.92? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 3. What is the coefficient of correlation between the ages of husbands and wives from thefollowing data?Age of husband (year): Age of wife (year):46 45(a) 0.58(b) 0.983837 35 31 28 30(c) 0.8942 4035 32 30 27 25 25 23 19 19 18(d) 0.92?.
Solutions for 3. What is the coefficient of correlation between the ages of husbands and wives from thefollowing data?Age of husband (year): Age of wife (year):46 45(a) 0.58(b) 0.983837 35 31 28 30(c) 0.8942 4035 32 30 27 25 25 23 19 19 18(d) 0.92? in English & in Hindi are available as part of our courses for UPSC.
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