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If the values of x variable are 1,2,3,4,5 and those of y variable are 2,4,6,8,10 the concurrent deviation (rc) will be?
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If the values of x variable are 1,2,3,4,5 and those of y variable are ...
To calculate the concurrent deviation (rc) between two variables x and y, we first need to determine the deviations of each variable from their respective means.
Step 1: Calculate the Means
1. Mean of x (μx):
- μx = (1 + 2 + 3 + 4 + 5) / 5
- μx = 3
2. Mean of y (μy):
- μy = (2 + 4 + 6 + 8 + 10) / 5
- μy = 6
Step 2: Calculate Deviations
- Deviations for x (dx):
- dx = x - μx
- dx values:
- 1 - 3 = -2
- 2 - 3 = -1
- 3 - 3 = 0
- 4 - 3 = 1
- 5 - 3 = 2
- Deviations for y (dy):
- dy = y - μy
- dy values:
- 2 - 6 = -4
- 4 - 6 = -2
- 6 - 6 = 0
- 8 - 6 = 2
- 10 - 6 = 4
Step 3: Calculate Concurrent Deviations
- Concurrent Deviations (rc):
- rc = dx * dy
- rc values:
- (-2) * (-4) = 8
- (-1) * (-2) = 2
- 0 * 0 = 0
- 1 * 2 = 2
- 2 * 4 = 8
Step 4: Sum of Concurrent Deviations
- Total rc = 8 + 2 + 0 + 2 + 8 = 20
Conclusion
The concurrent deviation (rc) for the given variables x and y is 20. This indicates a positive relationship between the two variables, showing that as x increases, y also increases.
Step 1: Calculate the Means
1. Mean of x (μx):
- μx = (1 + 2 + 3 + 4 + 5) / 5
- μx = 3
2. Mean of y (μy):
- μy = (2 + 4 + 6 + 8 + 10) / 5
- μy = 6
Step 2: Calculate Deviations
- Deviations for x (dx):
- dx = x - μx
- dx values:
- 1 - 3 = -2
- 2 - 3 = -1
- 3 - 3 = 0
- 4 - 3 = 1
- 5 - 3 = 2
- Deviations for y (dy):
- dy = y - μy
- dy values:
- 2 - 6 = -4
- 4 - 6 = -2
- 6 - 6 = 0
- 8 - 6 = 2
- 10 - 6 = 4
Step 3: Calculate Concurrent Deviations
- Concurrent Deviations (rc):
- rc = dx * dy
- rc values:
- (-2) * (-4) = 8
- (-1) * (-2) = 2
- 0 * 0 = 0
- 1 * 2 = 2
- 2 * 4 = 8
Step 4: Sum of Concurrent Deviations
- Total rc = 8 + 2 + 0 + 2 + 8 = 20
Conclusion
The concurrent deviation (rc) for the given variables x and y is 20. This indicates a positive relationship between the two variables, showing that as x increases, y also increases.
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If the values of x variable are 1,2,3,4,5 and those of y variable are 2,4,6,8,10 the concurrent deviation (rc) will be?
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If the values of x variable are 1,2,3,4,5 and those of y variable are 2,4,6,8,10 the concurrent deviation (rc) will be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the values of x variable are 1,2,3,4,5 and those of y variable are 2,4,6,8,10 the concurrent deviation (rc) will be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the values of x variable are 1,2,3,4,5 and those of y variable are 2,4,6,8,10 the concurrent deviation (rc) will be?.
If the values of x variable are 1,2,3,4,5 and those of y variable are 2,4,6,8,10 the concurrent deviation (rc) will be? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about If the values of x variable are 1,2,3,4,5 and those of y variable are 2,4,6,8,10 the concurrent deviation (rc) will be? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the values of x variable are 1,2,3,4,5 and those of y variable are 2,4,6,8,10 the concurrent deviation (rc) will be?.
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