Statistics · NDA previous year questions

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2019 17 questions

Q642019 · 17 Nov 2019
A point on a line has coordinates $(p + 1, p - 3, 2 p)$ where $p$ is any real number. What are the direction cosines of the line?
1. A. $\frac{1}{2}, \frac{1}{2}, \frac{1}{2}$
2. B. $\frac{1}{2}, \frac{1}{2}, \frac{1}{2}$
3. C. $\frac{1}{2}, \frac{1}{2}, - \frac{1}{2}$
4. D.Cannot be determined due to insufficient data
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Answer: A
Q652019 · 17 Nov 2019
Directions for the following two (02) items : Read the following information and answer the two items that follow : Let $f (x) = x^{2}$ , $g (x) = tan x$ and $h (x) = ln x$ . For $x = \frac{π}{2}$ , what is the value of $[h \circ (g \circ f)] (x)$ ?
1. A.0
2. B.1
3. C. $\frac{π}{4}$
4. D. $\frac{π}{2}$
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Answer: A
Q662019 · 17 Nov 2019
Directions for the following two (02) items : Read the following information and answer the two items that follow : Let $f (x) = x^{2}$ , $g (x) = tan x$ and $h (x) = ln x$ . What is $[f \circ (f \circ f)] (2)$ equal to?
1. A.2
2. B.8
3. C.16
4. D.256
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Answer: D
Q992019 · 17 Nov 2019
If $V$ is the variance and $M$ is the mean of first 15 natural numbers, then what is $V + M^{2}$ equal to?
1. A. $\frac{124}{3}$
2. B. $\frac{148}{3}$
3. C. $\frac{248}{3}$
4. D. $\frac{124}{9}$
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Answer: C
Q1012019 · 17 Nov 2019
Mean of 100 observations is 50 and standard deviation is 10. If 5 is added to each observation, then what will be the new mean and new standard deviation respectively?
1. A.50, 10
2. B.50, 15
3. C.55, 10
4. D.55, 15
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Answer: C
Q1022019 · 17 Nov 2019
Consider the following discrete frequency distribution : $x f 1321534545755063672589$ What is the value of median of the distribution?
1. A.4
2. B.5
3. C.6
4. D.7
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Answer: Dropped in the final answer key (full marks to everyone)
Q1032019 · 17 Nov 2019
The mean of 5 observations is 4.4 and variance is 8.24. If three of the five observations are 1, 2 and 6, then what are the other two observations?
1. A.9, 16
2. B.9, 4
3. C.81, 16
4. D.81, 4
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Answer: B
Q1042019 · 17 Nov 2019
The class marks in a frequency table are given to be 5, 10, 15, 20, 25, 30, 35, 40, 45, 50. The class limits of the first five classes are
1. A.3-7, 7-13, 13-17, 17-23, 23-27
2. B.2.5-7.5, 7.5-12.5, 12.5-17.5, 17.5-22.5, 22.5-27.5
3. C.1.5-8.5, 8.5-11.5, 11.5-18.5, 18.5-21.5, 21.5-28.5
4. D.2-8, 8-12, 12-18, 18-22, 22-28
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Answer: B
Q1052019 · 17 Nov 2019
Arithmetic mean of 10 observations is 60 and sum of squares of deviations from 50 is 5000. What is the standard deviation of the observations?
1. A.20
2. B.21
3. C.22.36
4. D.24.70
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Answer: A
Q1062019 · 17 Nov 2019
The median of the observations $22, 24, 33, 37, x + 1, x + 3, 46, 47, 57, 58$ in ascending order is 42. What are the values of 5th and 6th observations respectively?
1. A.42, 45
2. B.41, 43
3. C.43, 46
4. D.40, 40
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Answer: B
Q1102019 · 17 Nov 2019
The mean weight of 150 students in a certain class is 60 kg. The mean weight of boys is 70 kg and that of girls is 55 kg. What are the number of boys and girls respectively in the class?
1. A.75 and 75
2. B.50 and 100
3. C.70 and 80
4. D.100 and 50
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Answer: B
Q1192019 · 17 Nov 2019
For the variables $x$ and $y$ , the two regression lines are $6 x + y = 30$ and $3 x + 2 y = 25$ . What are the values of $\overset{x}{ˉ}$ , $\overset{y}{ˉ}$ and $r$ respectively?
1. A. $\frac{20}{3}$ , $\frac{35}{9}$ , $- 0.5$
2. B. $\frac{20}{3}$ , $\frac{35}{9}$ , $0.5$
3. C. $\frac{35}{9}$ , $\frac{20}{3}$ , $- 0.5$
4. D. $\frac{35}{9}$ , $\frac{20}{3}$ , $0.5$
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Answer: C
Q1202019 · 17 Nov 2019
A car travels first 60 km at a speed of 3v km/hr and travels next 60 km at 2v km/hr. What is the average speed of the car?
1. A.2.5v km/hr
2. B.2.4v km/hr
3. C.2.2v km/hr
4. D.2.1v km/hr
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Answer: B
Q982019 · 21 Apr 2019
If two variables X and Y are independent, then what is the correlation coefficient between them?
1. A.1
2. B.-1
3. C.0
4. D.None of the above
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Answer: C
Q992019 · 21 Apr 2019
Consider the following statements : 1. The algebraic sum of deviations of a set of values from their arithmetic mean is always zero. 2. Arithmetic mean > Median > Mode for a symmetric distribution. 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: A
Q1012019 · 21 Apr 2019
If all the natural numbers between 1 and 20 are multiplied by 3, then what is the variance of the resulting series?
1. A.99.75
2. B.199.75
3. C.299.25
4. D.399.25
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Answer: C
Q1022019 · 21 Apr 2019
The mean of 100 observations is 50 and the standard deviation is 10. If 5 is subtracted from each observation and then it is divided by 4, then what will be the new mean and the new standard deviation respectively?
1. A.45, 5
2. B.11.25, 1.25
3. C.11.25, 2.5
4. D.12.5, 2.5
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Answer: C