Statistics · NDA previous year questions

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2015 10 questions

Q1032015 · 27 Sept 2015
The regression coefficients of a bivariate distribution are $- 0.64$ and $- 0.36$ . Then the correlation coefficient of the distribution is
1. A.0.48
2. B. $- 0.48$
3. C.0.50
4. D. $- 0.50$
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Answer: B
Q1042015 · 27 Sept 2015
The geometric mean of the observations $x_{1}, x_{2}, x_{3}, \dots, x_{n}$ is $G_{1}$ . The geometric mean of the observations $y_{1}, y_{2}, y_{3}, \dots, y_{n}$ is $G_{2}$ . The geometric mean of observations $\frac{x _{1}}{y _{1}}, \frac{x _{2}}{y _{2}}, \frac{x _{3}}{y _{3}}, \dots, \frac{x _{n}}{y _{n}}$ is
1. A. $G_{1} G_{2}$
2. B. $ln (G_{1} G_{2})$
3. C. $\frac{G _{1}}{G _{2}}$
4. D. $ln (\frac{G _{1}}{G _{2}})$
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Answer: C
Q1052015 · 27 Sept 2015
The arithmetic mean of $1, 8, 27, 64, \dots$ up to $n$ terms is given by
1. A. $\frac{n ( n + 1 )}{2}$
2. B. $\frac{n ( n + 1 ) ^{2}}{2}$
3. C. $\frac{n ( n + 1 ) ^{2}}{4}$
4. D. $\frac{n ^{2} ( n + 1 ) ^{2}}{4}$
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Answer: C
Q1012015 · 19 Apr 2015
The mean and the variance of 10 observations are given to be 4 and 2 respectively. If every observation is multiplied by 2, the mean and the variance of the new series will be respectively
1. A.8 and 20
2. B.8 and 4
3. C.8 and 8
4. D.80 and 40
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Answer: C
Q1022015 · 19 Apr 2015
Which one of the following measures of central tendency is used in construction of index numbers?
1. A.Harmonic mean
2. B.Geometric mean
3. C.Median
4. D.Mode
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Answer: B
Q1032015 · 19 Apr 2015
The correlation coefficient between two variables $X$ and $Y$ is found to be 0.6. All the observations on $X$ and $Y$ are transformed using the transformations $U = 2 - 3 X$ and $V = 4 Y + 1$ . The correlation coefficient between the transformed variables $U$ and $V$ will be
1. A.-0.5
2. B.+0.5
3. C.-0.6
4. D.+0.6
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Answer: C
Q1042015 · 19 Apr 2015
Which of the following statements is/are correct in respect of regression coefficients? 1. It measures the degree of linear relationship between two variables. 2. It gives the value by which one variable changes for a unit change in the other variable. Select the correct answer using the code given below.
1. A.1 only
2. B.2 only
3. C.Both 1 and 2
4. D.Neither 1 nor 2
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Answer: B
Q1052015 · 19 Apr 2015
A set of annual numerical data, comparable over the years, is given for the last 12 years. Consider the following statements : 1. The data is best represented by a broken line graph, each corner (turning point) representing the data of one year. 2. Such a graph depicts the chronological change and also enables one to make a short-term forecast. Which of the above statements is/are correct?
1. A.1 only
2. B.2 only
3. C.Both 1 and 2
4. D.Neither 1 nor 2
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Answer: C
Q1062015 · 19 Apr 2015
The mean of five numbers is 30. If one number is excluded, their mean becomes 28. The excluded number is
1. A.28
2. B.30
3. C.35
4. D.38
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Answer: D
Q1072015 · 19 Apr 2015
The ‘less than’ ogive curve and the ‘more than’ ogive curve intersect at
1. A.median
2. B.mode
3. C.arithmetic mean
4. D.None of the above
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Answer: A