Statistics · NDA previous year questions

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2011 15 questions

Q282011 · 21 Aug 2011
Which one of the following is the mean of the data given below? $x_{i} f_{i} 621041471812248284303$
1. A.17
2. B.18
3. C.19
4. D.20
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Answer: C
Q482011 · 21 Aug 2011
Students of three sections of a class, having 30, 30 and 40 students appeared for a test of 100 marks. The arithmetic means of the marks of the three sections are 72.2, 69.0 and 64.1 in that order. What is the arithmetic mean of the marks of all the students of the three sections ?
1. A.66.6
2. B.67.3
3. C.68.0
4. D.70.6
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Answer: C
Q572011 · 21 Aug 2011
If the variance of the data 2, 4, 5, 6, 17 is v, then what is the variance of the data 4, 8, 10, 12, 34 ?
1. A.v
2. B.4v
3. C. $v^{2}$
4. D.2v
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Answer: B
Q672011 · 21 Aug 2011
The mean of 7 observations is 10 and that of 3 observations is 5. What is the mean of all the 10 observations?
1. A.15
2. B.10
3. C.8.5
4. D.7.5
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Answer: C
Q842011 · 21 Aug 2011
Some measures of central tendency for n discrete observations are given below: 1. Arithmetic mean 2. Geometric mean 3. Harmonic mean 4. Median A desirable property of a measure of central tendency is if every observation is multiplied by c, then the measure of central tendency is also multiplied by c, where c > 0. Which of the above measures satisfy the property?
1. A.1, 2 and 3 only
2. B.1, 2 and 4 only
3. C.3 and 4 only
4. D.1, 2, 3 and 4
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Answer: D
Q862011 · 21 Aug 2011
A variate X takes values 2, 3, 4, 2, 5, 4, 3, 2, 1. What is the mode?
1. A.2
2. B.3
3. C.4
4. D.5
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Answer: A
Q872011 · 21 Aug 2011
If $z = \frac{1 + 2 i}{2 - i} - \frac{2 - i}{1 + 2 i}$ , then what is the value of $z^{2} + z \overset{z}{ˉ}$ ? $(i = - 1)$
1. A.0
2. B. $- 1$
3. C.1
4. D.8
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Answer: A
Q1182011 · 21 Aug 2011
What is the geometric mean of 10, 40 and 60?
1. A.10
2. B.20
3. C.40
4. D.70
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Answer: Dropped in the final answer key (full marks to everyone)
Q1192011 · 21 Aug 2011
What is the median of the distribution 3, 7, 6, 9, 5, 4, 2?
1. A.5
2. B.6
3. C.7
4. D.8
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Answer: A
Q812011 · 17 Apr 2011
What is the geometric mean of the data 2, 4, 8, 16, 32?
1. A.2
2. B.4
3. C.8
4. D.16
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Answer: C
Q822011 · 17 Apr 2011
What is the cumulative frequency curve of statistical data commonly called?
1. A.Cartogram
2. B.Histogram
3. C.Ogive
4. D.Pictogram
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Answer: C
Q1002011 · 17 Apr 2011
If the values of a set are measured in cm, what will be the unit of variance?
1. A.cm
2. B. $c m^{2}$
3. C. $c m^{3}$
4. D.No unit
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Answer: B
Q1132011 · 17 Apr 2011
$Class Interval Frequency 1 - 5 3 6 - 10 7 11 - 15 6 16 - 20 5$ Consider the following statements in respect of the above frequency distribution : 1. The median is contained in the modal class. 2. The distribution is bell-shaped. 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: D
Q1142011 · 17 Apr 2011
For the next two (2) items that follow : The following table gives the continuous frequency distribution of a continuous variable $X$ : $Class Interval Frequency 0 - 10 5 10 - 20 10 20 - 30 20 30 - 40 5 40 - 50 10$ What is the median of the above frequency distribution?
1. A.23
2. B.24
3. C.25
4. D.26
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Answer: C
Q1152011 · 17 Apr 2011
For the next two (2) items that follow : The following table gives the continuous frequency distribution of a continuous variable $X$ : $Class Interval Frequency 0 - 10 5 10 - 20 10 20 - 30 20 30 - 40 5 40 - 50 10$ What is the mean of the above frequency distribution?
1. A.25
2. B.26
3. C.27
4. D.28
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Answer: B