Questions

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12 questions · timed · auto-graded

Question 42 Marks
Find $\frac{d y}{d x}$ for $y=x^3+\sqrt{x}-\frac{4}{x}+\frac{1}{\sqrt[3]{x}}+\frac{1}{4}$.
Answer
$3 x^2+\frac{1}{2 \times \frac{1}{2}}+\frac{4}{x^2}-\frac{1}{3 \times \frac{4}{3}}$
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Question 72 Marks
For a normal variable, mean deviation is $48$ and its third quartile is $120 .$ Estimate its first quartile.
Answer
$Q _1=40$
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Question 82 Marks
The mean and variance of a binomial distribution are $3.9$ and $2.73$ respectively. Find the parameters of the distribution.
Answer
$n =13$
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Question 102 Marks
If $b_{y x}=0.75, u=6(x-20)$ and $v=2(y-15)$ for the data in the study of a regression line then find the value of $b_{i v}$.
Answer
$bvu =0.25$
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Question 112 Marks
If $n=22, \operatorname{Cov}(x, y)=-50, S _x=15, S _y=8$, find the value of correlation coefficient ' $r$ '.
Answer
$r=-0.42$
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Question 122 Marks
The percentage increase in the price relatives of $3$ items $A, B$ and $C$ are $315,328$ and $390$ respectively. If the importance of three items has ratio $5: 7: 8$ find the genral price index number.
Answer
$449.55$
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2 Marks Each - Statistics STD 12 Commerce Questions - Vidyadip