Statistics · NDA previous year questions

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2012 17 questions

Q992012 · 19 Aug 2012
What is the geometric mean of the sequence $1, 2, 4, 8, \dots, 2^{n}$ ?
1. A. $2^{n /2}$
2. B. $2^{(n + 1) /2}$
3. C. $2^{(n + 1)} - 1$
4. D. $2^{(n - 1)}$
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Answer: A
Q1002012 · 19 Aug 2012
The mean of 10 observations is 5. If 2 is added to each observation and then multiplied by 3, then what will be the new mean ?
1. A.5
2. B.7
3. C.15
4. D.21
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Answer: D
Q1012012 · 19 Aug 2012
What is the mean of first n odd natural numbers ?
1. A.n
2. B.(n + 1)/2
3. C.n(n + 1)/2
4. D.n + 1
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Answer: A
Q1022012 · 19 Aug 2012
The arithmetic mean of numbers a, b, c, d, e is M. What is the value of (a – M) + (b – M) + (c – M) + (d – M) + (e – M) ?
1. A.M
2. B.a + b + c + d + e
3. C.0
4. D.5 M
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Answer: C
Q1032012 · 19 Aug 2012
The algebraic sum of the deviations of 20 observations measured from 30 is 2. What would be the mean of the observations ?
1. A.30
2. B.32
3. C.30.2
4. D.30.1
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Answer: D
Q1042012 · 19 Aug 2012
The median of 27 observations of a variable is 18. Three more observations are made and the values of these observations are 16, 18 and 50. What is the median of these 30 observations ?
1. A.18
2. B.19
3. C.25.5
4. D.Can not be determined due to insufficient data
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Answer: A
Q1052012 · 19 Aug 2012
Frequency curve may be :
1. A.symmetrical
2. B.positive skew
3. C.negative skew
4. D.all the above
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Answer: D
Q1062012 · 19 Aug 2012
The monthly family expenditure (in percentage) on different items are as follows : | Food | Rent | Cloth | Transport | Education | Others | |---|---|---|---|---|---| | 38 | 19 | 18 | – | 9 | 6 | If the total monthly expenditure is Rs. 9000, then what is the expenditure on transport ?
1. A.Rs. 180
2. B.Rs. 1000
3. C.Rs. 900
4. D.Rs. 360
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Answer: C
Q1072012 · 19 Aug 2012
If the mean of few observations is 40 and standard deviation is 8, then what is the coefficient of variation ?
1. A.1%
2. B.10%
3. C.20%
4. D.30%
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Answer: C
Q1082012 · 19 Aug 2012
What is the standard deviation of 7, 9, 11, 13, 15 ?
1. A.2.4
2. B.2.5
3. C.2.7
4. D.2.8
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Answer: D
Q1092012 · 19 Aug 2012
Which one of the following is a measure of dispersion ?
1. A.Mean
2. B.Median
3. C.Mode
4. D.Standard deviation
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Answer: D
Q1102012 · 19 Aug 2012
Let X and Y be two related variables. The two regression lines are given by x – y + 1 = 0 and 2x – y + 4 = 0. The two regression lines pass through the point :
1. A.(–4, –3)
2. B.(–6, –5)
3. C.(3, –2)
4. D.(–3, –2)
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Answer: D
Q92012 · 15 Apr 2012
What is the arithmetic mean of first 16 natural numbers with weights being the number itself?
1. A.17/2
2. B.33/2
3. C.11
4. D.187/2
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Answer: C
Q102012 · 15 Apr 2012
What is the mode for the data 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 25?
1. A.7
2. B.21
3. C.22
4. D.25
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Answer: C
Q122012 · 15 Apr 2012
The geometric mean and harmonic mean of two non-negative observations are 10 and 8 respectively. Then what is the arithmetic mean of the observations equal to?
1. A.4
2. B.9
3. C.12.5
4. D.25
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Answer: C
Q1142012 · 15 Apr 2012
Consider the following statements : 1. Two independent variables are always uncorrelated. 2. The coefficient of correlation between two variables X and Y is positive when X decreases then Y decreases. 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
Q1152012 · 15 Apr 2012
A variate X takes values 2, 9, 3, 7, 5, 4, 3, 2, 10. What is the median?
1. A.2
2. B.4
3. C.7
4. D.9
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Answer: B