The arithmetic mean of 100 observations is 50. If 5 is subtracted from each observation and then divided by 20, then what is the new arithmetic mean?

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NDA-I (Mathematics) Official Paper (Held On: 13 Apr, 2025)
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  1. 2.25
  2. 3.5
  3. 4.25
  4. 5.5

Answer (Detailed Solution Below)

Option 1 : 2.25
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Detailed Solution

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Calculation:

Given,

Number of observations, n = 100

Original arithmetic mean,

Transformation applied to each observation:

New value,

The new arithmetic mean is,

∴ The new arithmetic mean is 2.25.

Hence, the correct answer is Option 1.

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