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 \[\frac{1}{- 2}\]
\[\text{ New} S . D . = \left| - \frac{1}{2} \right| \times 8\]
\[ = \frac{8}{2}\]
\[ = 4\]
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