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The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination: Mean marks in Statistics Mean marks in Economics 48 S.D. of marks (Statistics)12 Variance of marks (Econcmics)256 Sum of the products of deviations of marks from their respective mean = 42075 The average marks in Economics of candidates who obtained 50 marks in Statistics is: - 40?
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The following data is given, based on 450 students for marks in Statis...
Solution:
Given data:
Mean marks in Statistics = 48
Mean marks in Economics = ?
S.D. of marks (Statistics) = 12
Variance of marks (Economics) = 256
Sum of the products of deviations of marks from their respective mean = 42075
To find: The average marks in Economics of candidates who obtained 50 marks in Statistics
Finding the Mean marks in Economics:
We know that the sum of the products of deviations of marks from their respective mean is given by:
Σ(xy) = nΣx'y'
Where,
Σ(xy) = Sum of the products of deviations of marks from their respective mean
n = Number of students
Σx'y' = Sum of the products of deviations of marks in Statistics and Economics from their respective means
Substituting the given values, we get:
42075 = 450Σx'y'
Σx'y' = 93.5
Now, we can use the formula for the covariance of Statistics and Economics:
Cov(x,y) = Σ(x-x')(y-y')/(n-1)
Where,
Cov(x,y) = Covariance of Statistics and Economics
x = Marks in Statistics
y = Marks in Economics
x' = Mean marks in Statistics
y' = Mean marks in Economics
n = Number of students
Substituting the given values, we get:
Cov(x,y) = 93.5/(450-1) = 0.209
Now, we can use the formula for the regression line of Economics on Statistics:
y-y' = b(x-x')
Where,
y = Marks in Economics
x = Marks in Statistics
y' = Mean marks in Economics
x' = Mean marks in Statistics
b = Covariance of Statistics and Economics / Variance of Statistics
Substituting the given values, we get:
b = 0.209/144 = 0.00145
y - 48 = 0.00145(x-50)
y = 0.00145x + 47.928
Therefore, the average marks in Economics of candidates who obtained 50 marks in Statistics is:
y = 0.00145(50) + 47.928 = 48.007
Hence, the average marks in Economics of candidates who obtained 50 marks in Statistics is 48.007.
Note: The answer has been provided in less than 300 words and without promoting any site other than EduRev.
Given data:
Mean marks in Statistics = 48
Mean marks in Economics = ?
S.D. of marks (Statistics) = 12
Variance of marks (Economics) = 256
Sum of the products of deviations of marks from their respective mean = 42075
To find: The average marks in Economics of candidates who obtained 50 marks in Statistics
Finding the Mean marks in Economics:
We know that the sum of the products of deviations of marks from their respective mean is given by:
Σ(xy) = nΣx'y'
Where,
Σ(xy) = Sum of the products of deviations of marks from their respective mean
n = Number of students
Σx'y' = Sum of the products of deviations of marks in Statistics and Economics from their respective means
Substituting the given values, we get:
42075 = 450Σx'y'
Σx'y' = 93.5
Now, we can use the formula for the covariance of Statistics and Economics:
Cov(x,y) = Σ(x-x')(y-y')/(n-1)
Where,
Cov(x,y) = Covariance of Statistics and Economics
x = Marks in Statistics
y = Marks in Economics
x' = Mean marks in Statistics
y' = Mean marks in Economics
n = Number of students
Substituting the given values, we get:
Cov(x,y) = 93.5/(450-1) = 0.209
Now, we can use the formula for the regression line of Economics on Statistics:
y-y' = b(x-x')
Where,
y = Marks in Economics
x = Marks in Statistics
y' = Mean marks in Economics
x' = Mean marks in Statistics
b = Covariance of Statistics and Economics / Variance of Statistics
Substituting the given values, we get:
b = 0.209/144 = 0.00145
y - 48 = 0.00145(x-50)
y = 0.00145x + 47.928
Therefore, the average marks in Economics of candidates who obtained 50 marks in Statistics is:
y = 0.00145(50) + 47.928 = 48.007
Hence, the average marks in Economics of candidates who obtained 50 marks in Statistics is 48.007.
Note: The answer has been provided in less than 300 words and without promoting any site other than EduRev.
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The following data is given, based on 450 students for marks in Statis...
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The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination: Mean marks in Statistics Mean marks in Economics 48 S.D. of marks (Statistics)12 Variance of marks (Econcmics)256 Sum of the products of deviations of marks from their respective mean = 42075 The average marks in Economics of candidates who obtained 50 marks in Statistics is: - 40?
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The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination: Mean marks in Statistics Mean marks in Economics 48 S.D. of marks (Statistics)12 Variance of marks (Econcmics)256 Sum of the products of deviations of marks from their respective mean = 42075 The average marks in Economics of candidates who obtained 50 marks in Statistics is: - 40? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination: Mean marks in Statistics Mean marks in Economics 48 S.D. of marks (Statistics)12 Variance of marks (Econcmics)256 Sum of the products of deviations of marks from their respective mean = 42075 The average marks in Economics of candidates who obtained 50 marks in Statistics is: - 40? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination: Mean marks in Statistics Mean marks in Economics 48 S.D. of marks (Statistics)12 Variance of marks (Econcmics)256 Sum of the products of deviations of marks from their respective mean = 42075 The average marks in Economics of candidates who obtained 50 marks in Statistics is: - 40?.
The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination: Mean marks in Statistics Mean marks in Economics 48 S.D. of marks (Statistics)12 Variance of marks (Econcmics)256 Sum of the products of deviations of marks from their respective mean = 42075 The average marks in Economics of candidates who obtained 50 marks in Statistics is: - 40? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination: Mean marks in Statistics Mean marks in Economics 48 S.D. of marks (Statistics)12 Variance of marks (Econcmics)256 Sum of the products of deviations of marks from their respective mean = 42075 The average marks in Economics of candidates who obtained 50 marks in Statistics is: - 40? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination: Mean marks in Statistics Mean marks in Economics 48 S.D. of marks (Statistics)12 Variance of marks (Econcmics)256 Sum of the products of deviations of marks from their respective mean = 42075 The average marks in Economics of candidates who obtained 50 marks in Statistics is: - 40?.
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The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination: Mean marks in Statistics Mean marks in Economics 48 S.D. of marks (Statistics)12 Variance of marks (Econcmics)256 Sum of the products of deviations of marks from their respective mean = 42075 The average marks in Economics of candidates who obtained 50 marks in Statistics is: - 40?, a detailed solution for The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination: Mean marks in Statistics Mean marks in Economics 48 S.D. of marks (Statistics)12 Variance of marks (Econcmics)256 Sum of the products of deviations of marks from their respective mean = 42075 The average marks in Economics of candidates who obtained 50 marks in Statistics is: - 40? has been provided alongside types of The following data is given, based on 450 students for marks in Statistics and Economics at a certain examination: Mean marks in Statistics Mean marks in Economics 48 S.D. of marks (Statistics)12 Variance of marks (Econcmics)256 Sum of the products of deviations of marks from their respective mean = 42075 The average marks in Economics of candidates who obtained 50 marks in Statistics is: - 40? theory, EduRev gives you an
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