Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11

# 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

• −4

• −8

• 8

•  4

#### 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 $\frac{1}{- 2}$

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

$= \frac{8}{2}$

$= 4$

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#### APPEARS IN

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