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1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
In a study of two groups, the following results were obtained.

Image

Which of the following statements is correct?
A
Group A is less variable than Group B because Group A's standard deviation is smaller
B
Group A is less variable than Group B because Group A's sample size is smaller
C
Group A is less variable than Group B because Group A's sample mean is smaller
D
Group A is less variable than group B because Group A's coefficient of variation is smaller
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following statements in respect of class intervals of grouped frequency distribution.

I. Class-intervals need not be mutually exclusive.

II. Class-intervals should be exhaustive

III. Class-intervals need not be of equal width

Which of the above statements are correct?
A
I and II
B
II and III
C
I and III
D
I, II and III
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Two variates, x and y are uncorrelated and have standard deviations $$\sigma$$x and $$\sigma$$y respectively. What is the correlation coefficient between x + y and x $$-$$ y ?
A
$${{{\sigma _x}{\sigma _y}} \over {\sigma _x^2 + \sigma _y^2}}$$
B
$${{{\sigma _x} + {\sigma _y}} \over {2{\sigma _x}{\sigma _y}}}$$
C
$${{\sigma _x^2 - \sigma _y^2} \over {\sigma _x^2 + \sigma _y^2}}$$
D
$${{{\sigma _y} - {\sigma _x}} \over {{\sigma _x}{\sigma _y}}}$$
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the covariance between x and y is 30, variance of x is 25 and variance of y is 144, then what is the correlation coefficient?
A
0.4
B
0.5
C
0.6
D
0.7
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