Statistical Assistant gr II-2015(195/2013)



Question Paper Code: 11/2015/OL

Category Code: 195/2013

Exam: Statistical Assistant gr II

Medium of Question: English

Date of Test 29-06-2015

Question 1 : Drafting Committee chairman of Indian Constitution

1. Dr. Rajendra Prasad

2. Dr. B R Ambedkar

3. Jawaharlal Nehru

4. Sardar Vallabjhai Patel


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2. Dr. B R Ambedkar

Question 2 : The President of India who officially issued a state of emergency in 1975

1. Zakir Huzain

2. V.V. Giri

3. Fakruddin Ali Ahmad

4. Neelam Sanjeev Reddy


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3. Fakruddin Ali Ahmad

Question 3 : Right to Information Law was passed on

1. 26 January 2005

2. 15 June 2005

3. 15 August 2005

4. 2 October 2005


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2. 15 June 2005

Question 4 : The ruler who founded the first English school in Travancore

1. Chithira Thirunnal

2. Sree Moolam Thirunnal

3. Swathy Thirunnal

4. Vishakham Thirunnal


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3. Swathy Thirunnal

Question 5 : First travelogue in Malayalam

1. London Note Book

2. Varthamana Pustakam

3. Vazhiyorakazchakal

4. Israel Yatra


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2. Varthamana Pustakam

Question 6 : Founder of Prathyaksha Raksha Sabha

1. Joseph Parekkattil

2. Benjamin Bailee

3. Charls Mart

4. Poykayil Yohannan


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4. Poykayil Yohannan

Question 7 : Travancore State Congress was formed in

1. 1932

2. 1936

3. 1938

4. 1939


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3. 1938

Question 8 : The leader of Ezhava Memorial

1. G.P. Pillai

2. Dr. Palpu

3. Nataraja Guru

4. Kumaran Asan


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2. Dr. Palpu

Question 9 : Paliyam Satyagraha was in the year

1. 1924

2. 1931

3. 1948

4. 1959


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3. 1948

Question 10 : Who started the monthly publication Gramadeepam ?

1. K. Kelappan

2. T.N. Gangadharan

3. K.M. Mathew

4. K. Balakrishnan


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1. K. Kelappan


Question 11 : Who among the following started a branch of Brahma Samaj at Kozhikode in 1898 ?

1. Ayyathan Gopalan

2. K. Ayyappan

3. T.K. Madhavan

4. P. Narayanan Nair


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1. Ayyathan Gopalan

Question 12 : Seethamuthal Sathyavathivare is a work of

1. Balamani Amma

2. Lalithambika Antharjanam

3. Dr. M. Leelavathy

4. Kamala Surayya


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2. Lalithambika Antharjanam

Question 13 : The Malayali who delivered his speech in Malayalam at Oxford University in 1959

1. V.K. Krishna Menon

2. Mannathu Padmanabhan

3. K.P. Kesava Menon

4. Captain Lekshmi


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2. Mannathu Padmanabhan

Question 14 : The leader of the Yachana Yatra in 1931

1. A.K. Gopalan

2. M.P. Manmathan

3. V.T. Bhattathiripad

4. Ayyankali


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3. V.T. Bhattathiripad

Question 15 : Who organized a Misrabhojanam in 1917 at Kozhikode

1. K.P. Vallon

2. C. Krishnan

3. Chovvara Parameswaran

4. Sahodaran Ayyappan


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4. Sahodaran Ayyappan

Question 16 : Who is popularly known as Kerala Vyasan ?

1. Vallathol Narayana Menon

2. A.R. Rajaraja Varma

3. Kodungalloor Kunjikkuttan Thampuran

4. Keralavarma Valiyakoyi Thampuran


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3. Kodungalloor Kunjikkuttan Thampuran

Question 17 : The birth palace of Ulloor S. Parameswara Iyer

1. Kilimanoor

2. Pattom

3. Mavelikkara

4. Changanacherry


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4. Changanacherry

Question 18 : Temple Entry Proclamation was declared on

1. 1 November 1935

2. 12 November 1935

3. 1 November 1936

4. 12 November 1936


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4. 12 November 1936

Question 19 : The Pope who canonized Mar Kurikos Elias Chavara on 23 November 2014

1. Pope John Paul I

2. Pope John Paul II

3. Pope Francis

4. Pope Benedict XVI


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3. Pope Francis

Question 20 : Founder of Bachpan Bachao Andolan

1. Medha Padkar

2. Kailash Satyarthi

3. Sundarlal Bahuguna

4. Arundhathi Roy


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2. Kailash Satyarthi


Question 21 : Who among the following is the real giant in the development of the theory of Statistics?

1. I. Fisher

2. Prof. R.A. Fisher

3. P.C. Mahalanobis

4. C.R. Rao


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2. Prof. R.A. Fisher

Question 22 : A suitable method of collecting data in cases where the informants are literate and spread over a vast area:

1. Direct personal interview

2. Mailed questionnaire method

3. Sample method

4. Primary method


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2. Mailed questionnaire method

Question 23 : The point of intersection of ogives correspond to:

1. Mean

2. Geometric mean

3. Mode

4. Median


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4. Median

Question 24 : In a ratio graph, the vertical scale starts with:

1. 0

2. -1

3. 1

4. Any positive number


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4. Any positive number

Question 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 :

1. 45

2. 39

3. 34

4. 41


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3. 34

Question 26 : The arithmetic mean and harmonic mean of certain data set are respectively 90 and 40. Then the geometric mean is :

1. 50

2. 60

3. 80

4. Data is not sufficient


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2. 60

Question 27 : The arithmetic mean of two sample observations is greater than the smallest by their :

1. Standard error

2. Variance

3. Range

4. None of these


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1. Standard error

Question 28 : 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 :

1. 25/2

2. 25

3. 100

4. 50


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4. 50

Question 29 : In Lorenz curve , the diagonal line y=x is known as:

1. Coefficient of determination

2. Line of unequal distribution

3. Line of equal distribution

4. Line of poverty


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3. Line of equal distribution

Question 30 : If 25% of the items in a distribution are less than 10 and 25% are more than 40, the quartile deviation is :

1. 25

2. 20

3. 15

4. 5


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3. 15


Question 31 : The standard deviation of the observations x and y is :

1. Absolute value of (x-y)/2

2. Absolute value of (x-y)

3. (x-y)

4. None of these


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1. Absolute value of (x-y)/2

Question 32 : The coefficient of variation of first four natural numbers is :

1. 5(1/2)

2. sqrt(0.4)

3. sqrt(0.2)

4. sqrt(2.5)


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3. sqrt(0.2)

Question 33 : The distribution of mortality rates with respect to the age after ignoring the accidental deaths will give:

1. Positively skewed distribution

2. Negatively skewed distribution

3. Symmetric distribution

4. None of these


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1. Positively skewed distribution

Question 34 : Which one of the following is true for a discrete distribution?

1. β2 > 1

2. β2 > 3

3. β2 < 3

4. β2 > 2


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1. β2 > 1

Question 35 : The sum of squares of deviations is least when measured from :

1. Median

2. Mean

3. Mode

4. None of these


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2. Mean

Question 36 : The axiomatic approach to probability was proposed by:

1. Karl Pearson

2. Laplace

3. A. Kolmogorov

4. A.N. Kolmogorov


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4. A.N. Kolmogorov

Question 37 : 10 persons are seated on 10 chairs at a round table. The probability that two specified persons are sitting next to each other is:

1. 2/10

2. 1/10

3. 2/9

4. 1/9


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3. 2/9

Question 38 : Which of the following statement is most correct:

1. P(AB) ≤ P(A)

2. P(AB) ≤ P(B)

3. P(AB) ≤ min(P(A),P(B))

4. P(AB) ≤ max(P(A),P(B))


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3. P(AB) ≤ min(P(A),P(B))

Question 39 : A random sample of 10 different observations is given. How many samples of {(x, y): x < y} can be formed is:

1. 45

2. 90

3. 60

4. 30


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1. 45

Question 40 : If P(A)=P(B)=P(C)=0.5, P(AB)=P(AC)=P(BC)=0.2 and P(ABC)=0.1, then P(A-B-C) is :

1. 0.15

2. 0.20

3. 0.10

4. 0


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2. 0.20


Question 41 : The probability of choosing a square of dimension 2 from a chess board of dimension 8 is:

1. 1/64

2. 2/64

3. 4/64

4. None of these


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4. None of these

Question 42 : If A and B are exhaustive and equally likely events with P(AB)=0.2, then P(A) is:

1. 0.6

2. 0.4

3. 0.8

4. None of these


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2. 0.4

Question 43 : Which of the following statement is true ?

1. Disjoint events are independent

2. Independent events may be disjoint

3. Both options 1 and 2

4. None of these


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2. Independent events may be disjoint

Question 44 : Five events are said to be mutually independent if they have to satisfy ……….. conditions:

1. 26

2. 30

3. 28

4. 32


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1. 26

Question 45 : 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:

1. 1/9

2. 2/9

3. 4/9

4. 5/9


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4. 5/9

Question 46 : Bayes’ formula is used to obtain the probabilities of:

1. Posterior events

2. Likelihood events

3. Prior events

4. None of these


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1. Posterior events

Question 47 : The distribution which holds the property non correlation of random variables implies independence is:

1. Bivariate normal

2. Bivariate exponential

3. Bivariate Cauchy

4. None of these


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1. Bivariate normal

Question 48 : The Union Minister of Statistics and Program Implementation is:

1. Dr. V. K. Singh

2. Rajnath Singh

3. Smriti Irani

4. Venkia Naidu


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1. Dr. V. K. Singh

Question 49 : The mean sum of squares is obtained by dividing the sum of squares by:

1. Size of the sample

2. Degrees of freedom

3. Squared degrees of freedom

4. Squared sample size


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2. Degrees of freedom

Question 50 : The method of moment estimator for Θ in a uniform distribution over [-Θ,Θ ] with sample mean 10 and sample variance 4 is:

1. 2√3

2. 24

3. 10

4. 0


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1. 2√3


Question 51 : A consistent estimator of Θ2 in a Poisson distribution with parameter θ is:

1. Square of sample mean

2. Sample mean

3. Sample variance

4. Sample mean- sample variance


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1. Square of sample mean

Question 52 : The degrees of freedom associated to error sum of squares in one-way ANOVA having n observations and k treatments is:

1. n-1

2. k-1

3. n-k

4. k+1


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3. n-k

Question 53 : The sum of all two digit numbers formed using the digits 1, 2, 3 and 4 if each digit is used exactly once is:

1. 110

2. 284

3. 330

4. None of these


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3. 330

Question 54 : The moment generating function M(t) of a random variable X exists at:

1. Any real value of t

2. t=0

3. Neighborhood of zero

4. Deleted neighborhood of zero


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3. Neighborhood of zero

Question 55 : Francis Galton is pioneered in the study of:

1. Biometry

2. Genetics

3. Regression

4. Correlation


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3. Regression

Question 56 : The correlation coefficient of the bi variate data: (1,10), (2,9), (3,8) and (4,7) is

1. 1

2. -1

3. 0.6

4. None of these


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2. -1

Question 57 : Let r(x, y)=0.8. Then the explained variation in y due to x is:

1. 80%

2. 64%

3. 81%

4. 70%


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2. 64%

Question 58 : If both regression coefficients are positive, then their sum is always:

1. ≥ 1

2. Lies between 1 and 2

3. ≥ 2

4. None of these


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4. None of these

Question 59 : The line of best fit can be obtained by the principle of:

1. Least squares

2. Moments

3. Mixed moments

4. Minimum chi-sqare


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1. Least squares

Question 60 : The coefficients of determination is the square of:

1. r

2. 1-r

3. 1+r

4. 1−r / 1+r


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1. r


Question 61 : Probable error is used to test:

1. Observed correlation coefficient

2. Regression coefficients

3. Rank correlation

4. Consistency


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1. Observed correlation coefficient

Question 62 : Let X be the number of successes follow B(n,p), then the distribution of failures follow:

1. B(n,p)

2. B(n, 1-p)

3. B(2n, 1-p)

4. None of these


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2. B(n, 1-p)

Question 63 : Let X follows B(n,p) is positively skewed if :

1. p<1/2

2. p>1/2

3. p=1/2

4. o


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1. p<1/2

Question 64 : Correlation coefficient between the number of successes and failures in B(n,p) is:

1. 1

2. -1

3. 0

4. None of these


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2. -1

Question 65 : Let X follows B(n,p) and define Y= (X−np)/√npq . Then Var(Y) is:

1. npq

2. q/p2

3. 1

4. p2


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3. 1

Question 66 : If X and Y are two independent Poisson variates with parameters 2 and 3 respectively and let U=X+Y. Then P(U=0) is:

1. e to the power of −5

2. eto the power of −3

3. eto the power of −2

4. e to the power of −2 +e to the power of −3


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1. e to the power of −5

Question 67 : Referring to Question 50, E(X/U=3) is:

1. 1

2. 2/3

3. 5/3

4. 6/5


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4. 6/5

Question 68 : Which of the following statement about B(n,p) is always true?

1. It is under dispersed

2. It is over dispersed

3. Neither option1 nor option 2

4. Both options 1 and 2 depend on values of p


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1. It is under dispersed

Question 69 : If X follows N(10, σ2 = 4 ), then the standard deviation of aX is:

1. 2a

2. 4a

3. 2a2

4. None of these


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4. None of these

Question 70 : If X follows U(0,1), then Var(1-X) is:

1. 1/12

2. 1/6

3. 1/2

4. 1/4


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1. 1/12


Question 71 : The maximum height of N(0,1) curve is :

1. e

2. √e

3. 1/√π

4. 1/√2μ/div>

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4. 1/√2μ/div>

Question 72 : As the scale parameter of normal curve increases, the distribution retains symmetry and becomes:

1. Flatter

2. Peaked

3. Neither 1 nor 2

4. None of these


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1. Flatter

Question 73 : If X and Y are independent N(0,1) random variates, then P(X

1. 1/2

2. 0

3. 1.96

4. 1.65


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1. 1/2

Question 74 : The Normal curve has an area about …….within one unit of SD from mean:

1. 65%

2. 68%

3. 33%

4. 67%


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2. 68%

Question 75 : The mgf of a random variable X is M(t)= 1/(1 − 2t) ,|t|<1/2 . Then E(X) is :

1. 2

2. 6

3. 8

4. 4


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1. 2

Question 76 : The square of t distribution is an F distribution for:

1. 2 df

2. 1 df

3. n df

4. None of these


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2. 1 df

Question 77 : The ratio of two independent N(0,1) variates is a:

1. t1

2. t2

3. tn

4. χ 2


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1. t1

Question 78 : If T1 and T2 are two unbiased estimates of parameter θ, then (2 T1+5T2)/(7) is :

1. Unbiased for θ

2. Biased for θ

3. Consistent for θ

4. None of these


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1. Unbiased for θ

Question 79 : The random variable X has mean 5 and variance 9. Then P[|X-5|>4] is:

1. > 9/16

2. >4/9

3. < 9/16

4. <4/9


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3. < 9/16

Question 80 : The statistical error associated to the statement “An innocent person is proved as guilty” is :

1. Type 1 error

2. Type 2 error

3. Power

4. Critical region


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1. Type 1 error


Question 81 : To test H0 :µ = 1 against H0 :µ ≠ 1 based on large sample, the test statistic Z has a value 2. Then p-value associated to the test is:

1. P[|Z|<2]

2. P[|Z|>2]

3. P[Z<2]

4. P[Z>2]


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2. P[|Z|>2]

Question 82 : Let X and Y be random variables with Cov(X,Y)Not equal to 0.25, then which of the following is true:

1. Var(X+Y)>Var(X-Y)

2. Var(X+Y)

3. Var(X+Y)=Var(X-Y)

4. None of these


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2. Var(X+Y)

Question 83 : 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:

1. m+n-1

2. m+n-mn

3. m+n

4. m+n-2


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4. m+n-2

Question 84 : If F follows F(7,8), then 1/F follows:

1. F(7,8)

2. F(1,8)

3. F(7,1)

4. F(8,7)


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4. F(8,7)

Question 85 : The distribution function F(x) of a random variable X lies between:

1. 0 and 1

2. -1 and 1

3. 0 and ∞

4. None of these


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1. 0 and 1

Question 86 : The probability mass function of a discrete random variable X is f(x)= x/10 for x=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) is:

1. 4/10

2. 2/10

3. 3/10

4. 1/10


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1. 4/10

Question 87 : let X be a random variable with distribution function F(x). The distribution function of 2X+3 is:

1. F(x)

2. F((x + 3)/2)

3. F(2x + 3)

4. F((x − 3)/2 )∈


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4. F((x − 3)/2 )∈

Question 88 : A continuous random variable X is symmetric about a real number a (a E R) if the distribution function X-a is same as the distribution function of:

1. a-X

2. X+a

3. -X-a

4. -X+a


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1. a-X

Question 89 : Let X be a random variable with pdf f(x)= (e raise to − ||x|)/2,-∞

1. X=1

2. X=10

3. X=0

4. Any number greater than zero


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3. X=0

Question 90 : Let X be a random variable for which E(X) exists and A is any real number. Then E|X-A| is minimum if:

1. A=E(X)

2. A=Med(X)

3. A=Mod(X)

4. None of these


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2. A=Med(X)


Question 91 : The joint distribution function of (X,Y) is given by F(x,y)=(1-e raise to −x )(1 – e raise to −y ), x>0,y>0. The marginal distribution function of Y is:

1. Exp(1)

2. Exp(2)

3. Gamma(2)

4. None of these


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1. Exp(1)

Question 92 : The function f(x)=x2 , x ∈ R is:

1. Increasing

2. Decreasing

3. Neither increasing nor decreasing

4. Constant


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3. Neither increasing nor decreasing

Question 93 : According to Prof. Sturge’s rule, the relation between the number of classes (k) and total number of observations in the data (N) is:

1. k=1+3.322log10 N

2. k=1+2.333log10 N

3. k=1+2.333loge N

4. k=1+3.223loge N


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1. k=1+3.322log10 N



Question Paper Code: 11/2015/OL

Category Code: 195/2013

Exam: Statistical Assistant gr II

Medium of Question: English

Date of Test 29-06-2015

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