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Chapter 18: Problem 698
If the variance of \(\mathrm{x}\) is 4 then the variance of \(3+5 \mathrm{x}\) is (a) 100 (b) 103 (c) 20 (d) 23
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From a set of numbers \(\\{1,2,3,4,5,6,7,8,9\\}\). Three numbers are selected at a time without repetition. Find the probability that the sum of numbers is equal to 10 . (a) \((1 / 180)\) (b) \((1 / 21)\) (c) \((7 / 30)\) (d) None
Mean of following frequency distribution is \(9.3\) then \(\mathrm{K}\) is $$ \begin{array}{|l|l|l|l|l|l|l|} \hline \mathrm{Xi} & 4 & 6 & 7 & \mathrm{~K} & 12 & 14 \\ \hline \mathrm{Fi} & 5 & 6 & 8 & 10 & 2 & 9 \\ \hline \end{array} $$ (a) 11 (b) 12 (c) 10 (d) 13
If \(\quad 10 \Sigma_{i=1}(x i-8)=9\) and \({ }^{10} \sum_{i=1}(x i-8)^{2}=45\) then standard deviation of \(\mathrm{x}_{1}, \mathrm{x}_{2}, \mathrm{x}_{3} \ldots \ldots \ldots \mathrm{x}_{10}\) is (a) \(19.2\) (b) \(12.92\) (c) \(1.82\) (d) \(1.92\)
Standard deviation of four consecutive numbers which are in arithmetic series is \(\sqrt{5}\) then common difference of this series is (a) \(\sqrt{5}\) (b) \(2 \cdot \sqrt{5}\) (c) \(\pm 2\) (d) \(\sqrt{2}\)
If the median of the observations \(x,(x / 5),(x / 2),(x / 3),(x / 7)\), \((x / 4),(x / 8)(x>0)\) is 10 value of \(x\) is (a) 30 (b) 20 (c) 50 (d) 40
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