SSC CGL TierII Free Online Mock Test (Statistics Paper)
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Question 1 of 100
1. Question
1 point(s)Category: StatisticsFor determination of mode and median graphically, one considers:
CorrectIncorrect 
Question 2 of 100
2. Question
1 point(s)Category: StatisticsCorrectIncorrect 
Question 3 of 100
3. Question
1 point(s)Category: StatisticsIn the construction of cost of living index, commodities are selected by :
CorrectIncorrect 
Question 4 of 100
4. Question
1 point(s)Category: ScienceIf x and y are uncorrelated variables then this implies :
CorrectIncorrect 
Question 5 of 100
5. Question
1 point(s)Category: StatisticsIn simple random sampling of n units from a population of N units the quantity [1(^{n}/_{N})] is called the
CorrectIncorrect 
Question 6 of 100
6. Question
1 point(s)Category: StatisticsThe coefficient of range of the weights of 10 students from the following data :
41,20,15,65,73,84,53,35,71,55 isCorrectIncorrect 
Question 7 of 100
7. Question
1 point(s)Category: StatisticsConsider simple random sampling with replacement from a population of size N. The number of samples of size n is
CorrectIncorrect 
Question 8 of 100
8. Question
1 point(s)Category: StatisticsUnder usual notations used for Index Number calculation
Σ P_{1} q_{0} = 231 , Σ P_{0} q_{0} = 228
Σ P_{1} q_{1} = 295 , Σ P_{0} q_{1} = 283
the value of paasche’s index is :CorrectIncorrect 
Question 9 of 100
9. Question
1 point(s)Category: StatisticsIf a population consists of 10 units and SRSWOR is adopted, the probability of selecting a specified sample of 2 units is :\
CorrectIncorrect 
Question 10 of 100
10. Question
1 point(s)Category: StatisticsIn drawing a sample of size n under SRSWR from a population of size N, the probability that a specified member is included in the chosen sample is
CorrectIncorrect 
Question 11 of 100
11. Question
1 point(s)Category: StatisticsSuppose a person would earn Rs. 10,000 in base period. Suppose the cost of living index increases by 20% over base period. Then the employers of that person increase his salary by Rs. 1500. Which of the following option is TRUE?
CorrectIncorrect 
Question 12 of 100
12. Question
1 point(s)Category: StatisticsThe correlation coefficient between two variables X and Y is 0.4. The correlation coefficient between 2X and (Y) will be :
CorrectIncorrect 
Question 13 of 100
13. Question
1 point(s)Category: StatisticsTrace out the WRONG option from the following: (CLI= Cost of living index numbers)
CorrectIncorrect 
Question 14 of 100
14. Question
1 point(s)Category: StatisticsA sample of 60 students is to be selected from a population of 480 students belonging to 3 different school.
Drawing a sample using proportional allocation technique would give n_{1} , n_{2} , n_{3} asCorrectIncorrect 
Question 15 of 100
15. Question
1 point(s)Category: StatisticsRelationship between real wage and money wage is given by
CorrectIncorrect 
Question 16 of 100
16. Question
1 point(s)Category: StatisticsWhen the collected data is grouped with reference to time, we have
CorrectIncorrect 
Question 17 of 100
17. Question
1 point(s)Category: StatisticsIn SRSWOR of size n from a population with N units if p is the proportion of sampled units having a given attribute, then unbiased estimate of V(p) is
CorrectIncorrect 
Question 18 of 100
18. Question
1 point(s)Category: StatisticsThe data about the sales and advertisement expenditure of a firm is given below
The correlation coefficient between sales and advertisement expenditure is 0.9. The likely sales for a proposed advertisement expenditure of Rs. 10 croreCorrectIncorrect 
Question 19 of 100
19. Question
1 point(s)Category: StatisticsWhich type of sampling is one where only the first sample unit is selected at random and the remaining units are automatically selected in a definite sequence at equal spacing from one another. It is :
CorrectIncorrect 
Question 20 of 100
20. Question
1 point(s)Category: StatisticsIf the mean and the standard deviation of n observations x_{1} ,x_{2} ,…, x_{n} be and σ respectively, then the mean and standard deviation of x_{1},x_{2},x_{3},.., x_{n} are, respectively,:
CorrectIncorrect 
Question 21 of 100
21. Question
1 point(s)Category: StatisticsA random sample of size n is drawn from a population of size N by SRSWOR method. Then the standard error of sample mean will be zero if n is
CorrectIncorrect 
Question 22 of 100
22. Question
1 point(s)Category: StatisticsThe coefficient of correlation between two variables X and Y is 0.48. The covariance is 36. The variance of X is 16. The standard deviation of Y is :
CorrectIncorrect 
Question 23 of 100
23. Question
1 point(s)Category: StatisticsIf 4,5,6,6,6,6,6,6,6,7 be a random sample from a Poisson population with parameter λ, then an unbiased estimate of λ is :
CorrectIncorrect 
Question 24 of 100
24. Question
1 point(s)Category: StatisticsThere are 35 students in a hostel. If the number of students increases by 7, the expenses of the hostel increases by Rs. 42 per day while the average expenditure per head diminishes by Re.1. The original expenditure of the hostel is:
CorrectIncorrect 
Question 25 of 100
25. Question
1 point(s)Category: StatisticsA random sample of size 81 is taken a normal population with unknown mean μ and known standard deviation σ = 0.90. If the sample mean is = 20 and the upper 2.5% point of a standard normal variable is Ƭ_{0.025} = 1.96% confidence interval for μ is :
CorrectIncorrect 
Question 26 of 100
26. Question
1 point(s)Category: StatisticsFor a bivariate data set no (x,y), if the means, standard deviations and correlation coefficient are
= 1.0, ȳ = 2.0,
s_{x} = 3.0, s_{y,} = 9.0,
r =0.8 than the regression line of y on x is :CorrectIncorrect 
Question 27 of 100
27. Question
1 point(s)Category: StatisticsConsider two univariate normal populations : N(μ_{1},σ_{2}^{2}) with σ_{1}^{2} = 4 and σ_{2}^{2} = 6. Let 1 be the mean of a random sample of size 10 from Nμ_{1}, σ_{1}^{2} and 2 be the mean of a random sample of size 20 from N(μ_{2}, σ_{2}^{2}), then the best statistic for tasting H_{0} : μ_{1} = μ_{2} is :
CorrectIncorrect 
Question 28 of 100
28. Question
1 point(s)Category: StatisticsWhich of the following is a method of collection of primary data?
CorrectIncorrect 
Question 29 of 100
29. Question
1 point(s)Category: StatisticsCorrectIncorrect 
Question 30 of 100
30. Question
1 point(s)Category: StatisticsIf the regression line of Y on X is Y =30 0.9X and the standard deviations are S_{x} = 2 and S_{y} = 9, then the value of the correlation coefficient rxy is :
CorrectIncorrect 
Question 31 of 100
31. Question
1 point(s)Category: StatisticsA coin is tossed repeatedly until a head appears. If ‘p’ be the probability of getting a head in any toss and x be the number of tosses required to get the first head then which of the following statement is true:
CorrectIncorrect 
Question 32 of 100
32. Question
1 point(s)Category: StatisticsCorrectIncorrect 
Question 33 of 100
33. Question
1 point(s)Category: StatisticsLet x_{1} ,x_{2} ,…, x_{n} be a random sample of size n from N (μ , σ^{2}) population where μ and σ are both unknown. For testing H_{0} : μ = μ_{0} against H_{1} : μ = μ_{1} ( ≠ μ_{0}) If one uses the test statistic
then H_{0} is rejected at level α if :CorrectIncorrect 
Question 34 of 100
34. Question
1 point(s)Category: StatisticsFor a trivariate distribution, if the correlation coefficients are r_{12} = r_{13} = r_{23} = r, 1 < r < 1, then r_{12.3} is:
CorrectIncorrect 
Question 35 of 100
35. Question
1 point(s)Category: StatisticsAn observation is drawn from an experimental distribution with mean θ, if the observation is found to be 2, and we test H0: θ>1 against H1: θ>1 with level e^{3} then
CorrectIncorrect 
Question 36 of 100
36. Question
1 point(s)Category: StatisticsThe average of 25 numbers is 36. If the average of first 13 numbers is 32 and that of the last 13 numbers is 39, then the 13th number is
CorrectIncorrect 
Question 37 of 100
37. Question
1 point(s)Category: StatisticsIn an analysis of variance problem involving 3 treatments and 10 observations per treatment, SSE= 399.6 The MSE for the analysis would be :
CorrectIncorrect 
Question 38 of 100
38. Question
1 point(s)Category: StatisticsIf six handwritings were ranked by two judges in a competition and the ranking are as follows:
Then the value of spearman’s rank correlation coefficient isCorrectIncorrect 
Question 39 of 100
39. Question
1 point(s)Category: StatisticsIn an ANOVA problem for oneway classified data, with three classes and three observations per class, if the Fvalue is 1.5 and the total sum of squares is 18, then the mean square between classes is :
CorrectIncorrect 
Question 40 of 100
40. Question
1 point(s)Category: StatisticsThe mean and standard deviation (s.d) of runs scored by three batsmen A, B and C in 9 consecutive match are given below
Considering coefficient of variations as the measure of consistency, which of the following is correct :CorrectIncorrect 
Question 41 of 100
41. Question
1 point(s)Category: Statistics. In the analysis of twoway classified data if p and q are the number of levels of the two factors then an unbiased estimator for the error variance is given by
CorrectIncorrect 
Question 42 of 100
42. Question
1 point(s)Category: StatisticsIf a data set contains n paired values on two variables x(independent) and y(dependent), then their plot is called :
CorrectIncorrect 
Question 43 of 100
43. Question
1 point(s)Category: StatisticsAn ANOVA procedure is used for data obtained from five populations. Five samples were taken from the 5 populations each comprising of 20 observations. The degree of freedom associated with F is :
CorrectIncorrect 
Question 44 of 100
44. Question
1 point(s)Category: StatisticsThe data taken from the publication “sankhya” will be considered as :
CorrectIncorrect 
Question 45 of 100
45. Question
1 point(s)Category: StatisticsSuppose r_{xy} is the correlation coefficient between two variables X and Y where s.d.(X) = s.d.(Y). If θ is the angle between the two regression lines of Y on X and X on Y then :
CorrectIncorrect 
Question 46 of 100
46. Question
1 point(s)Category: StatisticsWhich of these statements on variation is INCORRECT?
CorrectIncorrect 
Question 47 of 100
47. Question
1 point(s)Category: StatisticsIn the oneway analysis of variance model with k factors, let MSE denote the mean sum of squares due to error, MST denote the mean sum of squares due to factors, MTS denote the mean total sum of squares. For testing and homogeneity of the factor means, the test statistic is
CorrectIncorrect 
Question 48 of 100
48. Question
1 point(s)Category: StatisticsSuppose two distributions have the same mean, same standard deviation and are equally skewed, but the first distribution is more peaked than the other. This feature of the frequency distributions in which they are different are called :
CorrectIncorrect 
Question 49 of 100
49. Question
1 point(s)Category: StatisticsIn ANOVA for testing the equality of group means, one conducts
CorrectIncorrect 
Question 50 of 100
50. Question
1 point(s)Category: StatisticsIf P(A ∩ B) = 1/2, P(A^{C} ∩ B^{C}) = ^{1}/_{2} and 2P(A) = P(B) = p, then the value of p is :
CorrectIncorrect 
Question 51 of 100
51. Question
1 point(s)Category: StatisticsRatio to trend method for seasonal indices provide good results if:
CorrectIncorrect 
Question 52 of 100
52. Question
1 point(s)Category: Statisticsn a class, there are 25 students whose average age decreases by 3 months when one student aged 22 years is replaced by a new student. The age of the new student is :
CorrectIncorrect 
Question 53 of 100
53. Question
1 point(s)Category: StatisticsBased on results of 2 way ANOVA, the SSE was computed to be 139.4. If we ignore one of the factors and perform one way ANOVA using the same data, SSE will :
CorrectIncorrect 
Question 54 of 100
54. Question
1 point(s)Category: StatisticsIf the annual trend of production (Y) of a certain commodity in a factory with origin 2,000 and X unit = one year is Y= 148.8 + 7.2X Then the monthly trend equation is :
CorrectIncorrect 
Question 55 of 100
55. Question
1 point(s)Category: StatisticsIf A_{1}, A_{2} and A_{3} are three independent events with P(A_{1}) = ⅓, P(A_{2}) = ¼ and P(A_{3}) = ⅖, then the probability that exactly one of the events occurs is :
CorrectIncorrect 
Question 56 of 100
56. Question
1 point(s)Category: StatisticsIf the trend line with 2008 as origin is Y= 20.6 + 1.68X, then the trend line with 2004 as origin is :
CorrectIncorrect 
Question 57 of 100
57. Question
1 point(s)Category: StatisticsMoments are statistical constants from which we can find the different features of a distribution. Which one of the following is INCORRECT ?
CorrectIncorrect 
Question 58 of 100
58. Question
1 point(s)Category: StatisticsIf the equation of exponential trend with 2004 as origin is Y= 20(1.5)^{x}, Then equation of the exponential trend with 2006 as origin is :
CorrectIncorrect 
Question 59 of 100
59. Question
1 point(s)Category: StatisticsA closet contains 8 pairs of shoes. If 4 shoes are chosen at random, then the probability that all the four shoes are of the same type (left or right) is :
CorrectIncorrect 
Question 60 of 100
60. Question
1 point(s)Category: StatisticsDemand for seats in a university is at its highest in the fall; demand also trends to grow and fall off in 25 year waves. In time service forecasting, the former demand characteristic would be called_______ and the latter would be called ___________.
CorrectIncorrect 
Question 61 of 100
61. Question
1 point(s)Category: StatisticsFill up the blank: The secular trend is the part of time points where more or less regular and _______ is observed showing either the tendency of growth or decline.
CorrectIncorrect 
Question 62 of 100
62. Question
1 point(s)Category: StatisticsFollowing histogram shows certain frequency distribution against class intervals
The approximated mean of this distribution is :CorrectIncorrect 
Question 63 of 100
63. Question
1 point(s)Category: StatisticsIn a multiplicative time series model, the seasonal indices computed by the ratiototrend method
CorrectIncorrect 
Question 64 of 100
64. Question
1 point(s)Category: StatisticsFor two equally likely, exhaustive and independent events A and B, P(A ∩ B) is :
CorrectIncorrect 
Question 65 of 100
65. Question
1 point(s)Category: StatisticsTo remove quadratic trend from an additive time series, differencing :
CorrectIncorrect 
Question 66 of 100
66. Question
1 point(s)Category: StatisticsFor four observations 1, 0, 1, 4, the measure of kurtosis equals
CorrectIncorrect 
Question 67 of 100
67. Question
1 point(s)Category: StatisticsIn multiplicative model of time series: X_{t}= T_{t} x S_{t} x C_{t} x I_{t}, where T_{t} , S_{t} , C_{t} , I_{t} are trend, seasonal, cyclical and irregular components, what can be said about the values of It?
CorrectIncorrect 
Question 68 of 100
68. Question
1 point(s)Category: StatisticsLet A and B be the two possible outcomes of an experiment and suppose P(A) = 0.4, P(A U B) = 0.7 and P(B) = p, for what choice of p, A and B independent?
CorrectIncorrect 
Question 69 of 100
69. Question
1 point(s)Category: StatisticsConsider the following time series data :
Fitting a straightline, is the trend value for the year 1992 is :CorrectIncorrect 
Question 70 of 100
70. Question
1 point(s)Category: StatisticsIf the arithmetic mean is 26.8 and the median is 27.9, then the mode is :
CorrectIncorrect 
Question 71 of 100
71. Question
1 point(s)Category: StatisticsIn time series analysis which source of variation can be estimated by the ratiototrend method:
CorrectIncorrect 
Question 72 of 100
72. Question
1 point(s)Category: StatisticsThe probability that a contractor gets a plumbing contract is 2/3 and the probability that he will not get an electric contract is 5/9. If the probability of getting at least one contract is 4/5, then the probability that he will get both the contracts is :
CorrectIncorrect 
Question 73 of 100
73. Question
1 point(s)Category: StatisticsIf a time series data is given below then find three yearly moving averages to find trend.
Which on of the optional is correct :CorrectIncorrect 
Question 74 of 100
74. Question
1 point(s)Category: StatisticsIf the actual values in time series from 2000 to 2006 are 77, 88, 94, 85, 91, 98 and 90 and the equation of the trend line with 2003 as origin is Y = 89 + 2X , then in case of multiplicative model, the trend eliminated values are :
CorrectIncorrect 
Question 75 of 100
75. Question
1 point(s)Category: StatisticsA and B are two independent events in a given sample space and the probability that both A and B occur is 0.16 while the probability that neither occurs is 0.36, then P(A) and P(B), respectively are :
CorrectIncorrect 
Question 76 of 100
76. Question
1 point(s)Category: StatisticsLink relatives in a time series remove the influence of :
CorrectIncorrect 
Question 77 of 100
77. Question
1 point(s)Category: StatisticsThe annual vehicles production (in lacs) in India is given in the pie chart.
If the annual production of mother cycle is 1.80 lacs, the annual productionCorrectIncorrect 
Question 78 of 100
78. Question
1 point(s)Category: StatisticsLet E and F be two events with P(E ) > 0, P(FE) = 0.3 and P(E ∩ F^{C}) = 0.2. Then P(E) equals:
CorrectIncorrect 
Question 79 of 100
79. Question
1 point(s)Category: StatisticsIf the trend equation fitted from a data on production (y in kg) of a fertilizer factory is 26y = 5335 + 624t, where time(t) has unit 1 year. Then monthly increase in production of fertilisers (in kg) is:
CorrectIncorrect 
Question 80 of 100
80. Question
1 point(s)Category: StatisticsThe probability that an urn containing 5 balls contains only white balls if the first two balls drawn from it were found to be white is :
CorrectIncorrect 
Question 81 of 100
81. Question
1 point(s)Category: StatisticsSuppose owing to increased prices, a consumer reduces consumption of all commodities by 10% compared to the previous year. If IL and IP are the Laspeyres’ and Paasche’s price indices for the current year with the previous year as base, then
CorrectIncorrect 
Question 82 of 100
82. Question
1 point(s)Category: StatisticsThe standard deviation of a distribution is 5. The value of the fourth central moment, in order that the distribution be mesokurtic, should be :
CorrectIncorrect 
Question 83 of 100
83. Question
1 point(s)Category: StatisticsIf ‘I’ represents a cost of living index, then the purchasing power of money is proportional to
CorrectIncorrect 
Question 84 of 100
84. Question
1 point(s)Category: StatisticsThe system of combining two or more overlapping series of index numbers to obtain a single continuous series is called
CorrectIncorrect 
Question 85 of 100
85. Question
1 point(s)Category: StatisticsThe formula for calculating an index number should be such that it gives the same ratio between one point of comparison and the other, no matter which of the two is taken as the base or putting it another way, the index number reckoned forward should be reciprocal of the one reckoned backwards’which test of consistency of index number is this ?
CorrectIncorrect 
Question 86 of 100
86. Question
1 point(s)Category: StatisticsEvent S and T are independent with P(S) < P(T), P(S ∩ T) = 6/25 and P(ST) + P(TS) = 1. Then P(S) is :
CorrectIncorrect 
Question 87 of 100
87. Question
1 point(s)Category: StatisticsInitially there are 9 workers, all being paid a uniform wage. Later a 10th worker is added whose wage rate is Rs 20 less than for the others. The average wage gets :
CorrectIncorrect 
Question 88 of 100
88. Question
1 point(s)Category: StatisticsIf L(p) and L(q) represent Laspeyres’ index number for prices and quantities and P(p) and P(q) represents Paasche’s index number for price and quantities then :
CorrectIncorrect 
Question 89 of 100
89. Question
1 point(s)Category: StatisticsLet x be a random variable with probability mass function
ƒ(x) = k. x, if x = 2,1, 3
= 0, otherwise
Where, K is a constant. Then the variance of x is :CorrectIncorrect 
Question 90 of 100
90. Question
1 point(s)Category: StatisticsFor a frequency distribution of a variable x, mean = 32, median = 30. The distribution is :
CorrectIncorrect 
Question 91 of 100
91. Question
1 point(s)Category: StatisticsIt is known from past experience that in a certain plant there are on the average 4 industrial accidents per month. The probability that in a given month there will be less than 4 accidents is : (e^{4} = 0.0183)
CorrectIncorrect 
Question 92 of 100
92. Question
1 point(s)Category: StatisticsFor a frequency distribution of a discrete variable, the diagram of less than type cumulative frequency is a
CorrectIncorrect 
Question 93 of 100
93. Question
1 point(s)Category: StatisticsIf a continuous random variable x has the probability density function
CorrectIncorrect 
Question 94 of 100
94. Question
1 point(s)Category: StatisticsIn a negatively skewed distribution
CorrectIncorrect 
Question 95 of 100
95. Question
1 point(s)Category: StatisticsLet x ~ Binomial (5,0.6) and Y ~ Poisson (2) be independent. Then P(xy = 0) equals :
CorrectIncorrect 
Question 96 of 100
96. Question
1 point(s)Category: StatisticsThe mean and standard deviation of a variable x are 36 and 4 respectively. Then the mean and standard deviation of [50 – (^{x}/_{4})], respectively are :
CorrectIncorrect 
Question 97 of 100
97. Question
1 point(s)Category: StatisticsThe joint distribution of x and y is as follows
Then E(xy = 1) is :CorrectIncorrect 
Question 98 of 100
98. Question
1 point(s)Category: StatisticsIf a variable has three values k, 0 and 3k with corresponding frequencies as 3k, 2k and k respectively, then the value of coefficient of skewness b_{1} is :
CorrectIncorrect 
Question 99 of 100
99. Question
1 point(s)Category: StatisticsIf x is a continuous random variable with p.d.f.
And y is defined as y = x + 1, then E(y) equals :CorrectIncorrect 
Question 100 of 100
100. Question
1 point(s)Category: StatisticsIf μr be the r^{th} order centralmoment of a population μ_{0}, μ_{1} and μ_{2} are : (where, σ = standard deviation)
CorrectIncorrect
No
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