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KPSC Mock Test: STATISTICAL ASSISTANT GR- II - ECONOMICS AND STATISTICS

KPSC Mock Test: STATISTICAL ASSISTANT GR- II - ECONOMICS AND STATISTICS

Official Kerala Public Service Commission ONLINE Exam Question Paper & Answer Key. • Name of Post: STATISTICAL ASSISTANT GR- II - ECONOMICS AND STATISTICS • Question Paper Code: 11/2015/OL • Category Number: 195/2013 • Date of Test: 29-06-2015 • Answer Key: Provisional Answer Key Question Paper PDF: https://www.keralapsc.gov.in/sites/default/files/2018-09/11-2015-OL.pdf Answer Key PDF: https://www.keralapsc.gov.in/sites/default/files/2018-08/11-2015-OL%20_0.pdf

100 Questions
Progress: 0 / 100 Answered
1
Drafting Committee chairman of Indian Constitution
2
The President of India who officially issued a state of emergency in 1975
3
Right to Information Law was passed on
4
The ruler who founded the first English school in Travancore
5
First travelogue in Malayalam
6
Founder of Prathyaksha Raksha Sabha
7
Travancore State Congress was formed in
8
The leader of Ezhava Memorial
9
Paliyam Satyagraha was in the year
10
Who started the monthly publication Gramadeepam ?
11
Who among the following started a branch of Brahma Samaj at Kozhikode in 1898 ?
12
Seethamuthal Sathyavathivare is a work of
13
The Malayali who delivered his speech in Malayalam at Oxford University in 1959
14
The leader of the Yachana Yatra in 1931
15
Who organized a Misrabhojanam in 1917 at Kozhikode
16
Who is popularly known as Kerala Vyasan ?
17
The birth palace of Ulloor S. Parameswara Iyer
18
Temple Entry Proclamation was declared on
19
The Pope who canonized Mar Kurikos Elias Chavara on 23 November 2014
20
Founder of Bachpan Bachao Andolan
21
Who among the following is the real giant in the development of the theory of Statistics?
22
A suitable method of collecting data in cases where the informants are literate and spread over a vast area:
23
The point of intersection of ogives correspond to:
24
In a ratio graph, the vertical scale starts with:
25
Out of 19 students appeared for a test only 10 students are qualified and their scores are respectively 36, 45, 58, 63, 39, 43, 47, 34, 41 and 50. The median mark of all students is :
26
The arithmetic mean and harmonic mean of certain data set are respectively 90 and 40. Then the geometric mean is :
27
The arithmetic mean of two sample observations is greater than the smallest by their :
28
Bayes' formula is used to obtain the probabilities of:
29
The harmonic mean of certain data set is 25 and if each observation is multiplied by 2. Then the harmonic mean of new data set is :
30
In Lorenz curve , the diagonal line y=x is known as:
31
If 25% of the items in a distribution are less than 10 and 25% are more than 40, the quartile deviation is :
32
The standard deviation of the observations x and y is :
33
The coefficient of variation of first four natural numbers is :
34
The distribution of mortality rates with respect to the age after ignoring the accidental deaths will give:
35
Which one of the following is true for a discrete distribution?
36
The sum of squares of deviations is least when measured from :
37
The axiomatic approach to probability was proposed by:
38
10 persons are seated on 10 chairs at a round table. The probability that two specified persons are sitting next to each other is:
39
Which of the following statement is most correct:
40
A random sample of 10 different observations is given. How many samples of \{(x,y ):x<y \} can be formed is:
41
If P(A)=P(B)=P(C)=0.5P(A)=P(B)=P(C)=0.5, P(AB)=P(AC)=P(BC)=0.2P(AB)=P(AC)=P(BC)=0.2 and P(ABC)=0.1P(ABC)=0.1, then P(A−B−C)P(A-B-C) is :
42
The probability of choosing a square of dimension 2 from a chess board of dimension 8 is:
43
If A and B are exhaustive and equally likely events with P(AB)=0.2P(AB)=0.2, then P(A)P(A) is:
44
A problem in statistics is given to 3 students A, B and C whose chances of solving it are 12,34\frac{1}{2}, \frac{3}{4} and 14\frac{1}{4} respectively. The probability that exactly one solves the problem is:
45
Which of the following statement is true ?
46
Five events are said to be mutually independent if they have to satisfy ........... conditions:
47
Two friends decided to meet between 2pm and 3pm with the proviso that one waits the other for at most 20 minutes. The chance of their meeting is:
48
The distribution which holds the property non correlation of random variables implies independence is:
49
The Union Minister of Statistics and Program Implementation is:
50
The mean sum of squares is obtained by dividing the sum of squares by:
51
The method of moment estimator for Θ\Theta in a uniform distribution over [−Θ,Θ][-\Theta,\Theta] with sample mean 10 and sample variance 4 is:
52
A consistent estimator of Θ2\Theta^2 in a Poisson distribution with parameter θ\theta is:
53
The degrees of freedom associated to error sum of squares in one-way ANOVA having n observations and k treatments is:
54
The sum of all two digit numbers formed using the digits 1, 2, 3 and 4 if each digit is used exactly once is:
55
The moment generating function M(t) of a random variable X exists at:
56
If x=rcos⁡Θx=r\cos\Theta and y=rsin⁡Θy=r\sin\Theta with r>0r>0, 0<Θ<π20<\Theta<\frac{\pi}{2}, then dxdydxdy is:
57
The characteristic function of a standard normal variate is:
58
Francis Galton is pioneered in the study of:
59
The correlation coefficient of the bi variate data: (1,10), (2,9), (3,8) and (4,7) is
60
Let r(x,y)=0.8r(x,y)=0.8. Then the explained variation in y due to x is:
61
If both regression coefficients are positive, then their sum is always:
62
The line of best fit can be obtained by the principle of:
63
The coefficients of determination is the square of:
64
If r(x,y)=0.6r(x,y)=0.6, then r(−x+32,y−58)r(-x+\frac{3}{2}, y-\frac{5}{8}) is:
65
Probable error is used to test:
66
Let X be the number of successes follow B(n,p), then the distribution of failures follow:
67
Let X follows B(n,p) is positively skewed if :
68
Correlation coefficient between the number of successes and failures in B(n,p) is:
69
Let X follows B(n,p) and define Y=X−npnpqY = \frac{X - np}{\sqrt{npq}}. Then Var(Y) is:
70
If X and Y are two independent Poisson variates with parameters 2 and 3 respectively and let U=X+Y. Then P(U=0)P(U=0) is:
71
Referring to Question 50, E(X/U=3)E(X/U=3) is:
72
lim⁡n→∞(1−x2n2)n\lim_{n \to \infty} \left(1 - \frac{x^2}{n^2}\right)^n is:
73
Which of the following statement about B(n,p) is always true?
74
If X follows N(10,σ2=4)N(10, \sigma^2 = 4), then the standard deviation of aX is:
75
If X follows U(0,1)U(0,1), then Var(1-X) is:
76
The maximum height of N(0,1)N(0,1) curve is :
77
As the scale parameter of normal curve increases, the distribution retains symmetry and becomes:
78
If X and Y are independent N(0,1)N(0,1) random variates, then P(X<Y)P(X<Y) is :
79
The Normal curve has an area about .......within one unit of SD from mean:
80
The mgf of a random variable X is M(t)=11−2t,∣t∣<12M(t) = \frac{1}{1-2t}, |t| < \frac{1}{2}. Then E(X) is :
81
The square of t distribution is an F distribution for:
82
The ratio of two independent N(0,1)N(0,1) variates is a:
83
If T1T_1 and T2T_2 are two unbiased estimates of parameter θ\theta, then (2T1+5T2)/7(2T_1+5T_2)/7 is :
84
The random variable X has mean 5 and variance 9. Then P[∣X−5∣>4]P[|X-5|>4] is:
85
The statistical error associated to the statement "An innocent person is proved as guilty" is :
86
To test H0:μ=1H_0:\mu = 1 against H1:μ≠1H_1:\mu \neq 1 based on large sample, the test statistic Z has a value 2. Then p-value associated to the test is:
87
Let X and Y be random variables with Cov(X,Y)=−0.25\text{Cov}(X,Y)=-0.25, then which of the following is true:
88
The degrees of freedom associated to t-test for the difference of the means of two samples having sizes m, n based on large sample is:
89
If F follows F(7,8), then 1/F follows:
90
The distribution function F(x) of a random variable X lies between:
91
The probability mass function of a discrete random variable X is f(x)=x10f(x)=\frac{x}{10} for x=1,2,3,4x=1,2,3,4 and 0 for other values of X. Let F(x) denote the distribution function of X. Then F(4)−F(3)F(4)-F(3) is:
92
let X be a random variable with distribution function F(x). The distribution function of 2X+32X+3 is:
93
A continuous random variable X is symmetric about a real number a (a∈Ra \in R) if the distribution function X-a is same as the distribution function of:
94
Let X be a random variable with pdf f(x)=e−∣∣x∣∣2,−∞<x<∞f(x) = \frac{e^{-||x||}}{2}, -\infty < x < \infty. The median of the distribution is at:
95
Let X be a random variable for which E(X) exists and A is any real number. Then E∣X−A∣E|X-A| is minimum if:
96
The joint distribution function of (X,Y) is given by F(x,y)=(1−e−x)(1−e−y),x>0,y>0F(x,y)=(1-e^{-x})(1-e^{-y}), x>0, y>0. The marginal distribution function of Y is:
97
The function f(x)=x2,x∈Rf(x)=x^2, x \in R is:
98
lim⁡n→∞∑k=0n(nk)e−nk!\lim_{n \to \infty} \sum_{k=0}^{n} \binom{n}{k} \frac{e^{-n}}{k!} is:
99
Let x1,x2,...,xnx_1, x_2, ..., x_n be n discrete values with corresponding frequencies f1,f2,...,fnf_1, f_2, ..., f_n. Also let F1,F2,...,FnF_1, F_2, ..., F_n be the corresponding greater than cumulative frequencies. Then ∑i=1nFiN\sum_{i=1}^{n} \frac{F_i}{N} gives:
100
According to Prof. Sturge's rule, the relation between the number of classes (k) and total number of observations in the data (N) is:

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