Statistics · NDA previous year questions

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2022 20 questions

Q1012022 · 4 Sept 2022
Let x be the mean of squares of first n natural numbers and y be the square of mean of first n natural numbers. If $\frac{x}{y} = \frac{55}{42}$ , then what is the value of n ?
1. A.24
2. B.25
3. C.27
4. D.30
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Answer: C
Q1142022 · 4 Sept 2022
The coefficient of correlation between ages of husband and wife at the time of marriage for a given set of 100 couples was noted to be 0.7. Assume that all these couples survive to celebrate the silver jubilee of their marriage. The coefficient of correlation at that point of time will be
1. A.1
2. B.0.9
3. C.0.7
4. D.0.3
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Answer: C
Q1162022 · 4 Sept 2022
The mean and standard deviation (SD) of marks obtained by 50 students of a class in 4 subjects are given below : $Subject Mean Marks SD Mathematics 4015 Physics 2812 Chemistry 3814 Biology 3616$ Which one of the following subjects shows highest variability of marks ?
1. A.Mathematics
2. B.Physics
3. C.Chemistry
4. D.Biology
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Answer: D
Q1172022 · 4 Sept 2022
The mean and standard deviation (SD) of marks obtained by 50 students of a class in 4 subjects are given below : $Subject Mean Marks SD Mathematics 4015 Physics 2812 Chemistry 3814 Biology 3616$ What is the coefficient of variation of marks in Mathematics ?
1. A.37.5%
2. B.38.0%
3. C.38.5%
4. D.39.0%
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Answer: A
Q1182022 · 4 Sept 2022
Consider the following grouped frequency distribution : $Class Frequency 0 - 10 1 10 - 20 2 20 - 30 4 30 - 40 6 40 - 50 4 50 - 60 3$ What is the median of the distribution ?
1. A.34
2. B.34.5
3. C.35
4. D.35.5
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Answer: C
Q1192022 · 4 Sept 2022
1. A.11.4
2. B.11.1
3. C.10.8
4. D.10.5
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Answer: D
Q1202022 · 4 Sept 2022
Consider the following grouped frequency distribution : $Class Frequency 0 - 10 1 10 - 20 2 20 - 30 4 30 - 40 6 40 - 50 4 50 - 60 3$ What is the mean deviation about the mean ?
1. A.10.15
2. B.10.65
3. C.11.15
4. D.11.65
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Answer: B
Q772022 · 10 Apr 2022
If the derivative of the function $f (x) = \frac{m}{x} + 2 n x + 1$ vanishes at $x = 2$ , then what is the value of $m + 8 n$ ?
1. A.-2
2. B.0
3. C.2
4. D.Cannot be determined due to insufficient data
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Answer: D
Q782022 · 10 Apr 2022
What is the area included in the first quadrant between the curves $y = x$ and $y = x^{3}$ ?
1. A. $\frac{1}{8}$ square unit
2. B. $\frac{1}{4}$ square unit
3. C. $\frac{1}{2}$ square unit
4. D.1 square unit
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Answer: B
Q1022022 · 10 Apr 2022
The frequency curve (assuming unimodal) corresponding to the data obtained in an experiment is skewed to the left. What conclusion can be drawn from the curve ?
1. A.Mean > Median > Mode
2. B.Mean > Mode > Median
3. C.Median > Mean > Mode
4. D.Mode > Median > Mean
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Answer: D
Q1032022 · 10 Apr 2022
The variance of five positive observations is 3.6. If four of the observations are 2, 2, 4, 5 then what is the remaining observation ?
1. A.4
2. B.5
3. C.7
4. D.9
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Answer: C
Q1042022 · 10 Apr 2022
What is the arithmetic mean of 50 terms of an AP with first term 4 and common difference 4 ?
1. A.50
2. B.51
3. C.100
4. D.102
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Answer: D
Q1052022 · 10 Apr 2022
What is the coefficient of mean deviation of 21, 34, 23, 39, 26, 37, 40, 20, 33, 27 (taken from mean)?
1. A.0.11
2. B.0.22
3. C.0.33
4. D.0.44
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Answer: B
Q1062022 · 10 Apr 2022
Consider the following for the next three (03) items that follow : The algebraic sum of the deviations of a set of values $x_{1}, x_{2}, x_{3}, \dots, x_{n}$ measured from 100 is -20 and the algebraic sum of the deviations of the same set of values measured from 92 is 140. What is the mean of the values?
1. A.91
2. B.96
3. C.98
4. D.99
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Answer: D
Q1092022 · 10 Apr 2022
Consider the following data for the next three (03) items that follow : The marks obtained by 51 students in a class are in AP with its first term 4 and common difference 3. What is the mean of the marks ?
1. A.67
2. B.71
3. C.75
4. D.79
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Answer: D
Q1102022 · 10 Apr 2022
What is the median of the marks?
1. A.79.5
2. B.77.5
3. C.78.5
4. D.79
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Answer: D
Q1112022 · 10 Apr 2022
What is the sum of the deviations measured from the median?
1. A.-1
2. B.0
3. C.1
4. D.2
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Answer: B
Q1182022 · 10 Apr 2022
Consider the following frequency distribution for the next three (03) items follow : $Class Frequency 0 - 20 17 20 - 40 p + q 40 - 60 32 60 - 80 p - 3 q 80 - 100 19$ The total frequency is 120. The mean is 50. What is the value of p ?
1. A.25
2. B.26
3. C.27
4. D.28
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Answer: C
Q1192022 · 10 Apr 2022
Consider the following frequency distribution for the next three (03) items follow : $Class Frequency 0 - 20 17 20 - 40 p + q 40 - 60 32 60 - 80 p - 3 q 80 - 100 19$ The total frequency is 120. The mean is 50. What is the value of q ?
1. A.1
2. B.2
3. C.3
4. D.4
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Answer: A
Q1202022 · 10 Apr 2022
Consider the following frequency distribution for the next three (03) items follow : $Class Frequency 0 - 20 17 20 - 40 p + q 40 - 60 32 60 - 80 p - 3 q 80 - 100 19$ The total frequency is 120. The mean is 50. If the frequency of each class is doubled, then what would be the mean?
1. A.25
2. B.50
3. C.75
4. D.100
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Answer: B