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NDA 2021
Exam
NDA
Year
2021
Subject
Mathematics
Chapter
Statistics

NDA 2021 · Mathematics · Statistics

The mean of 10 observations is 5.5. If each observation is...

The mean of 10 observations is 5.5. If each observation is multiplied by 4 and subtracted from 44 , then what is the new mean?

Options

  1. A20
  2. B22
  3. C34
  4. D44

Correct answer

B. 22

Step-by-step solution

It is given that mean of 10 observations are 5.5⇒xˉ=5.55.5 \Rightarrow \bar{x}=5.5 Now, each observation is multiplied by 4 and subtracted from 44. Then New mean yˉ=44−4xˉ=44−4×5.5∴yˉ=22\begin{aligned} & \bar{y}=44-4 \bar{x}=44-4 \times 5.5 \\ & \therefore \bar{y}=22 \end{aligned}
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