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Suppose a population has observations , and another population has observations . If and represent the variances of the two populations, respectively, then is:

  1. A
  2. B
  3. C
  4. D

Solution & Step-by-step Explanation

Variance is a measure of dispersion and is independent of the change of origin.The observations in population can be obtained by adding to each observation in population (, , etc.).Since , the variance remains unchanged.

Both populations consist of consecutive integers, so their spread around their respective means is identical.

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Suppose a population has observations , and another population has observations . If and represent the variances of the two populations, respectively, then is:
A
B
C
D

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