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If the mean of few observations is \[40\] and standard deviation is \[8\], then what is the coefficient of variation?

a). \[1\% \]

b). \[10\% \]

c). \[20\% \]

d). \[30\% \]

a). \[1\% \]

b). \[10\% \]

c). \[20\% \]

d). \[30\% \]

If the coefficient of variation and standard deviation are \[{\text{60}}\] and \[{\text{21}}\] respectively, then the arithmetic mean of the distribution is

\[\left( 1 \right){\text{ }}60\]

\[\left( 2 \right){\text{ 3}}0\]

\[\left( 3 \right){\text{ 35}}\]

\[\left( 4 \right){\text{ 21}}\]

\[\left( 1 \right){\text{ }}60\]

\[\left( 2 \right){\text{ 3}}0\]

\[\left( 3 \right){\text{ 35}}\]

\[\left( 4 \right){\text{ 21}}\]

If $Var(x) = 8.25$, $Var(y) = 33.96$ and $Cov(x,y) = 10.2$ then the correlation coefficient is

$A)0.89$

$B) - 0.98$

$C)0.61$

$D) - 0.16$

$A)0.89$

$B) - 0.98$

$C)0.61$

$D) - 0.16$

How do you construct a confidence interval for a correlation coefficient?

The regression equation $y$ on $x$ is $y = \dfrac{2}{9}x$ and the regression equation of $x$ on $y$ is $x = \dfrac{y}{2} + \dfrac{7}{6}$ .

Find:

$\left( a \right){\text{ Correlation coefficient between x and y}}$

\[\left( b \right){\text{ }}\sigma _y^2{\text{ if }}\sigma _x^2 = 4\]

Find:

$\left( a \right){\text{ Correlation coefficient between x and y}}$

\[\left( b \right){\text{ }}\sigma _y^2{\text{ if }}\sigma _x^2 = 4\]

The sum of squares of deviations for $10$ observations taken from mean $50$ is $250$. Then coefficient of variation is

A) $10\% $

B) $40\% $

C) $50\% $

D) None

A) $10\% $

B) $40\% $

C) $50\% $

D) None

The following table is given the daily wages of workers in a factory. Compute the standard deviation and the coefficient of variation of the wages of the workers.

Wages(in Rs.) | 125-175 | 175-225 | 225-275 | 275-325 | 325-375 | 375-425 | 425-475 | 475-525 |

Number of workers | 2 | 22 | 19 | 14 | 3 | 4 | 6 | 1 |

JBG Ltd. budgets for fixed overhead of Rs. 24,000 and production of 4,800 units. Actual production is 4,200 units and fixed overhead cost incurred is Rs. 22,000. The fixed volume variance is:

(a) Rs. 3,000 (A)

(b) Rs. 2,000 (F)

(c) Rs. 1,000 (A)

(d) Rs. 3,000 (F)

(a) Rs. 3,000 (A)

(b) Rs. 2,000 (F)

(c) Rs. 1,000 (A)

(d) Rs. 3,000 (F)

Calculate the coefficient of variation for the given data (36, 15, 25, 10, 14).

The average run scored by a batsman in 15 cricket matches is 60 and the standard deviation of the runs is 15. Find the coefficient of variation of the runs scored by him.

The mean and S.D of marks obtained by 50 students of a class in three subjects, mathematics, physics, and chemistry are given below:

Which of the three subjects shows the lowest coefficient of variation?

Which of the three subjects shows the lowest coefficient of variation?

Identify terms which contain $x$ and give the coefficient of $x$ in $7x + x{y^2}$

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