Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
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If the S.D. of a Set of Observations is 8 and If Each Observation is Divided by −2, the S.D. of the New Set of Observations Will Be (A) −4 (B) −8 (C) 8 (D) 4 - Mathematics

MCQ

If the S.D. of a set of observations is 8 and if each observation is divided by −2, the S.D. of the new set of observations will be

Options

  • −4

  • −8

  • 8

  •  4

     
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Solution

 4

If a set of observations, with SD \[\sigma\]  , are multiplied with a non-zero real number a, then SD of the new observations will be\[\left| a \right| \sigma .\]
Dividing the set of observations by − 2 is same as multiplying the observations by \[\frac{1}{- 2}\]

\[\text{ New}  S . D . = \left| - \frac{1}{2} \right| \times 8\]

\[ = \frac{8}{2}\]

\[ = 4\]

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 32 Statistics
Q 13 | Page 51
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