Statistics · NDA previous year questions

298 questions asked across 18 exam years, newest first

Year-wise papers Topic-wise questions

Practise this topic

2014 17 questions

Q652014 · 28 Sept 2014
For the next three (03) items that follow: Let $f (x) = a x^{2} + b x + c$ such that $f (1) = f (- 1)$ and a, b, c are in Arithmetic Progression. What is the value of b?
1. A.-1
2. B.0
3. C.1
4. D.Cannot be determined due to insufficient data
Show answer
Answer: B
Q982014 · 28 Sept 2014
Consider the following statements in respect of histogram: 1. The histogram is a suitable representation of a frequency distribution of a continuous variable. 2. The area included under the whole histogram is the total frequency. 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
Show answer
Answer: A
Q992014 · 28 Sept 2014
The regression lines will be perpendicular to each other if the coefficient of correlation r is equal to
1. A.1 only
2. B.1 or -1
3. C.-1 only
4. D.0
Show answer
Answer: D
Q1002014 · 28 Sept 2014
If $\overset{x}{ˉ}$ and $\overset{y}{ˉ}$ are the means of two distributions such that $\overset{x}{ˉ} < \overset{y}{ˉ}$ and $\overset{z}{ˉ}$ is the mean of the combined distribution, then which one of the following statements is correct?
1. A. $\overset{x}{ˉ} < \overset{y}{ˉ} < \overset{z}{ˉ}$
2. B. $\overset{x}{ˉ} > \overset{y}{ˉ} > \overset{z}{ˉ}$
3. C. $\overset{z}{ˉ} = \frac{x ˉ + y ˉ}{2}$
4. D. $\overset{x}{ˉ} < \overset{z}{ˉ} < \overset{y}{ˉ}$
Show answer
Answer: D
Q1012014 · 28 Sept 2014
What is the mean deviation about the mean for the data 4, 7, 8, 9, 10, 12, 13, 17?
1. A.2.5
2. B.3
3. C.3.5
4. D.4
Show answer
Answer: B
Q1022014 · 28 Sept 2014
The variance of 20 observations is 5. If each observation is multiplied by 2, then what is the new variance of the resulting observations?
1. A.5
2. B.10
3. C.20
4. D.40
Show answer
Answer: C
Q902014 · 20 Apr 2014
For two variables $x$ and $y$ , the two regression coefficients are $b_{y x} = - 3/2$ and $b_{x y} = - 1/6$ . The correlation coefficient between $x$ and $y$ is:
1. A. $- 1/4$
2. B.1/4
3. C. $- 1/2$
4. D.1/2
Show answer
Answer: C
Q912014 · 20 Apr 2014
The variance of numbers $x_{1}, x_{2}, x_{3}, \dots\dots x_{n}$ is $V$ . Consider the following statements: 1. If every $x_{i}$ is increased by 2, the variance of the new set of numbers is $V$ . 2. If the numbers $x_{i}$ is squared, the variance of the new set is $V^{2}$ . Which of the following statements is/are correct?
1. A.1 only
2. B.2 only
3. C.Both 1 and 2
4. D.Neither 1 nor 2
Show answer
Answer: A
Q922014 · 20 Apr 2014
What is the mean of the squares of the first 20 natural numbers?
1. A.151.5
2. B.143.5
3. C.65
4. D.72
Show answer
Answer: B
Q932014 · 20 Apr 2014
$p, q, r, s, t$ are five numbers such that the average of $p, q$ and $r$ is 5 and that of $s$ and $t$ is 10. What is the average of all the five numbers?
1. A.7.75
2. B.7.5
3. C.7
4. D.5
Show answer
Answer: C
Q942014 · 20 Apr 2014
For the next three (03) items that follow: The number of telephone calls received in 245 successive one minute intervals at an exchange is given below in the following frequency distribution. $Number of calls Frequency 014121225343451540639712$ What is the mean of the distribution?
1. A.3.76
2. B.3.84
3. C.3.96
4. D.4.05
Show answer
Answer: A
Q952014 · 20 Apr 2014
For the next three (03) items that follow: The number of telephone calls received in 245 successive one minute intervals at an exchange is given below in the following frequency distribution. $Number of calls Frequency 014121225343451540639712$ What is the median of the distribution?
1. A.3.5
2. B.4
3. C.4.5
4. D.5
Show answer
Answer: B
Q962014 · 20 Apr 2014
For the next three (03) items that follow: The number of telephone calls received in 245 successive one minute intervals at an exchange is given below in the following frequency distribution. $Number of calls Frequency 014121225343451540639712$ What is the mode of the distribution?
1. A.3
2. B.4
3. C.5
4. D.6
Show answer
Answer: B
Q972014 · 20 Apr 2014
For the next three (03) items that follow: The mean and standard deviation of 100 items are 50, 5 and that of 150 items are 40, 6 respectively. What is the combined mean of all 250 items?
1. A.43
2. B.44
3. C.45
4. D.46
Show answer
Answer: B
Q982014 · 20 Apr 2014
What is the combined standard deviation of all 250 items?
1. A.7.1
2. B.7.3
3. C.7.5
4. D.7.7
Show answer
Answer: C
Q992014 · 20 Apr 2014
What is the variance of all the 250 items?
1. A.50.6
2. B.53.3
3. C.55.6
4. D.59.3
Show answer
Answer: C
Q1002014 · 20 Apr 2014
The cumulative frequency of the largest observed value must always be:
1. A.Less than the total number of observations
2. B.Greater than the total number of observations
3. C.Equal to total number of observations
4. D.Equal to mid point of the last class interval
Show answer
Answer: C