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Exam Details

2019 Statistics Paper - I

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Questions 80
Duration 180 mins
Package National Defence Academy and Naval Academy Examination (I) & (II) - Previous Year Papers

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Difficulty distribution

Easy 27 33.8%
Medium 27 33.8%
Hard 26 32.5%

Question type distribution

Multiple Choices 80 100%

Syllabus

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Sample questions from this paper

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1
2019 · Unclassified
2019 Statistics Paper - I
Consider the following statements : 1. For ordinal and ratio scale data, median is a recommended measure of location. 2. Pie diagrams and bar diagrams are recommended graphs for nominal data. 3. For interval scale data, the recommended graph is histogram and the recommended measure of variability is standard deviation. Which of the above statements are correct?
A
1 and 3 only
B
2 and 3 only
C
1 and 2 only
D
1, 2 and 3
2
2019 · Unclassified
2019 Statistics Paper - I
The joint distribution of two random variables X and Y is given below :
Y-11
X0α1α2
1α3α4
where αi ≥ 0, for all i and ∑14 αi = 1. Which of the following are correct? 1. E(Xr) = α3 + α4, for all r 2. E(XY) = α4 - α3 3. E(XY)2n = α3 + α4, for all n Select the correct answer using the code given below. [IMAGE]
A
1 and 2 only
B
1 and 3 only
C
2 and 3 only
D
1, 2 and 3
3
2019 · Unclassified
2019 Statistics Paper - I
For a group of 7-year-old boys Body Height : X̄1 = 115 cm, s1 = 6·5 cm Body Weight : X̄2 = 23 kg, s2 = 2·7 kg where X̄ is the mean of the group and s is the group's standard deviation. Which one of the following is correct?
A
Boys are five times as variable in body weight than in body height
B
Boys are twice as variable in body weight than in body height
C
Boys are 2/5 times as variable in body weight than in body height
D
Boys are 2/5 times as variable in body height than in body weight
4
2019 · Unclassified
2019 Statistics Paper - I
If for two attributes A and B, (A) = 50, (B) = 60, (AB) = 40, N = 100, then
A
A and B are independent
B
A and B are positively associated
C
A and B are negatively associated
D
nothing definite can be said about the association between A and B without further information
5
2019 · Unclassified
2019 Statistics Paper - I
If x = 4y + 5 and y = kx + 4 are the lines of regression of x on y and that of y on x respectively, then which one of the following is true?
A
k ≥ 1
B
k ≤ -1
C
-1 ≤ k ≤ 0
D
0 ≤ k ≤ 1/4
6
2019 · Unclassified
2019 Statistics Paper - I
The regression lines of Y on X and of X on Y are respectively Y = aX + b and X = cY + d. If rXY is the correlation coefficient between X and Y, and \( sₓ/sᵧ \) is the ratio of standard deviation of X to standard deviation of Y, then the pair \( \left(r_{XY}, sₓ/sᵧ \right) \) would assume the value
A
\(\left( √{ac}, √{c/a} \right) \)
B
\(\left( √{c/a}, √{ac} \right) \)
C
\(\left( bd/√{ac}, √{ac} \right) \)
D
\(\left( √{ac}, √{a/c} \right) \)