Statistics · NDA previous year questions

2024 12 questions

1. Q622024 · 1 Sept 2024

   Direction: Consider the following for the items that follow: A triangle ABC is inscribed in the circle $x^2+y^2=100$. B and C have coordinates (6, 8) and (-8, 6) respectively. What are the coordinates of A?

   1. A.(-6, 8)
   2. B.(-6, -8)
   3. C.$(5\sqrt{2},5\sqrt{2})$
   4. D.Cannot be. determined due to insufficient data
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   Answer: D

2. Q1012024 · 1 Sept 2024

   Let $x-3y+4=0$ and $2x-7y+8=0$ be two lines of regression computed from some bivariate data. If $b_{yx}$ and $b_{xy}$ are regression coefficients of lines of regression of y on x and x on y respectively, then what is the value of $b_{xy}+7b_{yx}$?

   1. A.-2
   2. B.1
   3. C.2
   4. D.5
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   Answer: D

3. Q1022024 · 1 Sept 2024

   The mean of n observations 1, 4, 9, 16 ...., $n^2$ is 130. What is the value of n?

   1. A.18
   2. B.19
   3. C.20
   4. D.21
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   Answer: B

4. Q1102024 · 1 Sept 2024

   What is the mean deviation of the first 10 natural numbers?

   1. A.2
   2. B.2.5
   3. C.3
   4. D.3.5
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   Answer: B

5. Q1112024 · 1 Sept 2024

   Let ${\sum }_{i=1}^9{x}_i^2=855$ If M is the mean and $\sigma$ is the standard deviation of $x_1,x_2,x_3.....x_9$ then what is the value of $M^2+{\sigma }^2$?

   1. A.100
   2. B.95
   3. C.90
   4. D.85
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   Answer: B

6. Q1122024 · 1 Sept 2024

   The mean of the series $x_1,x_2\dots x_n$ is $\bar{x}$ If $x_n$ is replaced by k, then what is the new mean?

   1. A.$\bar{x}-x_n+k$
   2. B.$\frac{n\bar{x}-\bar{x}+k}{n}$
   3. C.$\frac{\bar{x}-x_n-k}{n}$
   4. D.$\frac{n\bar{x}-x_n+k}{n}$
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   Answer: D

7. Q1202024 · 1 Sept 2024

   In a binomial distribution, if the mean is 6 and the standard deviation is √2, then what are the values of the parameters n and p respectively?

   1. A.18 and 1/3
   2. B.9 and 1/3
   3. C.18 and 2/3
   4. D.9 and 2/3
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   Answer: D

8. Q1032024 · 21 Apr 2024

   From data (-4, 1), (-1, 2), (2, 7) and (3, 1), the regression line of y on x is obtained as $y=a+bx$, then what is the value of $2a+15b$?

   1. A.6
   2. B.11
   3. C.17
   4. D.21
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   Answer: B

9. Q1042024 · 21 Apr 2024

   Let $x+2y+1=0$ and $2x+3y+4=0$ are two lines of regression computed from some bivariate data. If $\theta$ is the acute angle between them, then what is the value of $488\tan 3\theta$ ?

   1. A.191
   2. B.161
   3. C.131
   4. D.121
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   Answer: A

10. Q1182024 · 21 Apr 2024

    Consider the following for the next two (02) items that follow: $$\begin{array}{cccccc}{x}_i& 1& 2& 3& \dots & n\\ f_i& 1& 2^{-1}& 2^{-2}& \dots & 2^{-(n-1)}\end{array}$$ What is the mean of the distribution?

    1. A.$\frac{2^{n+1}-n+2}{2^n-1}$
    2. B.$\frac{2^{n+1}-n-2}{2^{n-1}}$
    3. C.$\frac{2^{n+1}-n-2}{2^n-1}$
    4. D.$\frac{2^{n+1}-n+2}{2^n}$
    Show answer

    Answer: C

11. Q1192024 · 21 Apr 2024

    Consider the following for the next two (02) items that follow: The marks obtained by 10 students in a Statistics test are 24, 47, 18, 32, 19, 15, 21, 35, 50 and 41. What is the mean deviation of the largest five observations?

    1. A.4.8
    2. B.5.5
    3. C.6
    4. D.7.5
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    Answer: C

12. Q1202024 · 21 Apr 2024

    What is the variance of the largest five observations?

    1. A.14.6
    2. B.21.8
    3. C.25.2
    4. D.46.8
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    Answer: D