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NDA 2019
Exam
NDA
Year
2019
Subject
Mathematics
Chapter
Statistics

NDA 2019 · Mathematics · Statistics

Mean of 100 observations is 50 and standard deviation is 10. If 5...

Mean of 100 observations is 50 and standard deviation is 10. If 5 is added to each observation, then what will be the new mean and new standard deviation respectively?

Options

  1. A50,10
  2. B50,15
  3. C55,10
  4. D55,15

Correct answer

C. 55,10

Step-by-step solution

Given: n=100xˉ=50,σ=105isaddedtoeachobservationn=100\bar{x}=50, \sigma=10 5 is added to each observation\thereforenewmeannew mean=55  and standarddeviationremainssame.\ \text{ and } standard deviation remains same.
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