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NIELIT Scientist B 2020 November: 41

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Consists of a question and two statements, labelled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements, plus your knowledge of mathematics and everyday facts.

What is the Standard Deviation (SD) of the four numbers $\text{A, B, C, D}$?

$\text{Statement (1)}$

The sum of $\text{A, B, C and D}$ is $24$.

$\text{Statement (2)}$

The sum of the squares of $\text{A, B, C and D}$ is $224$.

  1. Only $\text{Statement (1)}$ is required for answering the question
  2. Only $\text{Statement (2)}$ is required for answering the question
  3. Both statement together are required to answer the question
  4. Answer cannot be ascertained with the given information
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(C) Both statement together are required to answer the question.

SD = $\sqrt{\frac{\sum \left ( x^{2} \right )}{n} -\left (\frac{\sum \left (x \right )}{n} \right )^{2} }$

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