Multiple choice

Mean of all obeservtions is 35.If each observation is decreased by 30%. then the mean is 24.5 If true then enter $1$ and if false then enter $0$

  1. 1

  2. 0

  3. Can't determine

  4. None of these

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A Correct answer
Explanation

Reducing every observation by 30% also reduces their mean by 30%. Thus the new mean is 35 × 70% = 24.5, so the statement is true.

AI explanation

If each observation is decreased by 30%, the new mean will also decrease by exactly 30%. The new mean equals 35 minus 0.30 multiplied by 35, which is 35 minus 10.5. This calculation results in 24.5, proving the statement is true.