Consider a dataset A with 55 observations, all distinct. Dataset D is created from A by adding 2023 to the largest observation in A and subtracting 2023 from the smallest observation in A. Which of the following is NOT true?

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CSIR-UGC (NET) Life Science: Held on (6 June 2023 Shift 2)
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  1. Mean of D = Mean of A
  2. Sum of D = Sum of A.
  3. Median of D = Median of A.
  4. Standard deviation of D = Standard deviation of A.

Answer (Detailed Solution Below)

Option 3 : Median of D = Median of A.
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Given :- Consider a dataset A with 55 observations, all distinct. Dataset D is created from A by adding 2023 to the largest observation in A and subtracting 2023 from the smallest observation in A.

Concept used :- Adding and subtraction same value from data set does not change mean and standard deviation but median.

Solution :- Since observation in A and D are different then their middle values alter with the change in data set.

Hence Median of A is not equal to median of D

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