Statistics · NDA previous year questions

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2021 27 questions

Q1032021 · 14 Nov 2021
When the measure of central tendency is available in the form of mean, which one of the following is the most reliable and accurate measure of variability?
1. A.Range
2. B.Mean deviation
3. C.Standard deviation
4. D.Quartile deviation
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Answer: C
Q1062021 · 14 Nov 2021
Direction: Consider the following for the next two (02) items that follow. Two regression lines are given as $3 x - 4 y + 8 = 0$ and $4 x - 3 y - 1 = 0$ . Consider the following statements: 1. The regression line of y on x is $y = \frac{3}{4} x + 2$ 2. The regression line of x on y is $x = \frac{3}{4} y + \frac{1}{4}$ 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
Q1072021 · 14 Nov 2021
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
Q1082021 · 14 Nov 2021
Direction: Consider the following for the next two (02) items that follow. The marks obtained by 60 students in a certain subject out of 75 are given below: $Marks 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50 50 - 55 55 - 60 60 - 65 Number of Students 45116589642$ What is the median?
1. A.35
2. B.38
3. C.39
4. D.40
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Answer: C
Q1092021 · 14 Nov 2021
Direction: Consider the following for the next two (02) items that follow. The marks obtained by 60 students in a certain subject out of 75 are given below: $Marks 15 - 20 20 - 25 25 - 30 30 - 35 35 - 40 40 - 45 45 - 50 50 - 55 55 - 60 60 - 65 Number of Students 45116589642$ What is the mode?
1. A.27.27
2. B.27.73
3. C.27.93
4. D.28.27
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Answer: B
Q1102021 · 14 Nov 2021
What is the mean of natural numbers in the interval [15, 64]?
1. A.36.8
2. B.38.3
3. C.39.5
4. D.40.3
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Answer: C
Q1112021 · 14 Nov 2021
For the set of numbers x, x, x + 2, x + 3, x + 10 where x is a natural number, which of the following is/are correct? 1. Mean > Mode 2. Median > Mean 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: A
Q1122021 · 14 Nov 2021
The mean of 10 observations is 5.5. If each observation is multiplied by 4 and subtracted from 44, then what is the new mean?
1. A.20
2. B.22
3. C.34
4. D.44
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Answer: B
Q1132021 · 14 Nov 2021
If g is the geometric mean of 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, then which one of the following is correct?
1. A.8 < g < 16
2. B.16 < g < 32
3. C.32 < g < 64
4. D.g > 64
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Answer: C
Q1142021 · 14 Nov 2021
If the harmonic mean of 60 and x is 48, then what is the value of x?
1. A.32
2. B.36
3. C.40
4. D.44
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Answer: C
Q1152021 · 14 Nov 2021
What is the mean deviation of first 10 even natural numbers?
1. A.5
2. B.5.5
3. C.10
4. D.10.5
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Answer: A
Q1162021 · 14 Nov 2021
1. A.22
2. B.33
3. C.44
4. D.55
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Answer: B
Q82021 · 18 Apr 2021
The third term of a GP is 3. What is the product of its first five terms?
1. A.81
2. B.243
3. C.729
4. D.Cannot be determined due to insufficient data
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Answer: B
Q612021 · 18 Apr 2021
If M is the mean of n observations $x_{1} - k$ , $x_{2} - k$ , $x_{3} - k$ , $\dots$ , $x_{n} - k$ , where k is any real number, then what is the mean of $x_{1}$ , $x_{2}$ , $x_{3}$ , $\dots$ , $x_{n}$ ?
1. A.M
2. B.M + k
3. C.M - k
4. D.kM
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Answer: B
Q622021 · 18 Apr 2021
What is the sum of deviations of the variate values 73, 85, 92, 105, 120 from their mean?
1. A.-2
2. B.-1
3. C.0
4. D.5
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Answer: C
Q632021 · 18 Apr 2021
Let x be the HM and y be the GM of two positive numbers m and n. If 5x = 4y, then which one of the following is correct?
1. A.5m = 4n
2. B.2m = n
3. C.4m = 5n
4. D.m = 4n
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Answer: D
Q642021 · 18 Apr 2021
If the mean of a frequency distribution is 100 and the coefficient of variation is 45%, then what is the value of the variance?
1. A.2025
2. B.450
3. C.45
4. D.4.5
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Answer: A
Q662021 · 18 Apr 2021
For which of the following sets of numbers do the mean, median and mode have the same value?
1. A.12, 12, 12, 12, 24
2. B.6, 18, 18, 18, 30
3. C.6, 6, 12, 30, 36
4. D.6, 6, 6, 12, 30
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Answer: B
Q672021 · 18 Apr 2021
The mean of 12 observations is 75. If two observation are discarded, then the mean of the remaining observations is 65. What is the mean of the discarded observations?
1. A.250
2. B.125
3. C.120
4. D.Cannot be determined due to insufficient data
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Answer: B
Q692021 · 18 Apr 2021
The geometric mean of a set of observations is computed as 10. The geometric mean obtained when each observations $x_{i}$ is replaced by $3 x_{i}^{4}$ is
1. A.810
2. B.900
3. C.30000
4. D.81000
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Answer: C
Q742021 · 18 Apr 2021
If the mode of the scores 10, 12, 13, 15, 15, 13, 12, 10, x is 15, then what is the value of x?
1. A.10
2. B.12
3. C.13
4. D.15
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Answer: D
Q862021 · 18 Apr 2021
Consider the following measures of central tendency for a set of N numbers: 1. Arithmetic mean. 2. Geometric mean. Which of the above uses/use all the data?
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
Q872021 · 18 Apr 2021
The numbers of Science, Arts and Commerce graduates working in a company are 30, 70 and 50 respectively. If these figures are represented by a pie chart, then what is the angle corresponding to Science graduates?
1. A.36°
2. B.72°
3. C.120°
4. D.168°
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Answer: B
Q882021 · 18 Apr 2021
For a histogram based on a frequency distribution with unequal class intervals, the frequency of a class should be proportional to:
1. A.the height of the rectangle.
2. B.the area of the rectangle.
3. C.the width of the rectangle.
4. D.the perimeter of the rectangle.
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Answer: B
Q892021 · 18 Apr 2021
The co-efficient of correlation is independent of:
1. A.change of scale only.
2. B.change of origin only.
3. C.both change of scale and change of origin.
4. D.neither change of scale nor change of origin.
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Answer: C