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If each item of a data is increased by 5 times, then the Arithmetic mean ___________.
  • a)
    Increases by 5 times​
  • b)
    Increases by 4 times
  • c)
    Increases by 3 times
  • d)
    Increases by 2 times
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If each item of a data is increased by 5 times, then the Arithmetic me...
Arithmetic mean refers to the average amount in a given group of data. The arithmetic mean between a and b = (a+b)/2.
So if a is increased by 5 and b is increased by 5, then the
Arithmetic mean = {(a+5)+(b+5)}/2
= (a+b+10)/2
= (a+b)/2 + 10/2
= (a+b)/2 +5
Therefore, the arithmetic mean also increases by 5.
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If each item of a data is increased by 5 times, then the Arithmetic mean ___________.a)Increases by 5 times​b)Increases by 4timesc)Increases by 3timesd)Increases by 2timesCorrect answer is option 'A'. Can you explain this answer?
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