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The mean of 70 obs. Value of the data is 45. If all obs. Values of the data
are multiplied by 2 then mean of resulting data is [obs. Means observed]
(a) 45 (b) 60 (c) 90 (d) None?
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The mean of 70 obs. Value of the data is 45. If all obs. Values of the...
Understanding Mean in Data
The mean is a measure of central tendency that represents the average of a set of values. In this scenario, we have 70 observations with a mean value of 45.
Effect of Multiplication on Mean
When we multiply all observations by a constant factor, the mean also gets multiplied by the same factor. Here’s how it works:
- Original Mean = 45
- Constant Factor = 2
Calculating the New Mean
To find the new mean after multiplying each observation by 2:
- New Mean = Original Mean × Constant Factor
- New Mean = 45 × 2 = 90
Conclusion
Thus, if all observation values of the data are multiplied by 2, the resulting mean becomes:
- (c) 90
This principle applies universally for any constant factor applied to all observations in a dataset. Multiplying the data values directly scales the mean proportionately by that factor.
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The mean of 70 obs. Value of the data is 45. If all obs. Values of the data are multiplied by 2 then mean of resulting data is [obs. Means observed] (a) 45 (b) 60 (c) 90 (d) None?
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The mean of 70 obs. Value of the data is 45. If all obs. Values of the data are multiplied by 2 then mean of resulting data is [obs. Means observed] (a) 45 (b) 60 (c) 90 (d) None? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The mean of 70 obs. Value of the data is 45. If all obs. Values of the data are multiplied by 2 then mean of resulting data is [obs. Means observed] (a) 45 (b) 60 (c) 90 (d) None? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The mean of 70 obs. Value of the data is 45. If all obs. Values of the data are multiplied by 2 then mean of resulting data is [obs. Means observed] (a) 45 (b) 60 (c) 90 (d) None?.
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