SSB Odisha Lecturer Statistics Exam - English

If x and y are related by x – y – 10 = 0 and mode of x is known to be 23, then the mode of y is :

A man travels at a speed of 20 km/hr and then returns at a speed of 30 km/hr. His average speed of the whole journey is

A student obtained the mean and standard deviation of 100 observations as 40 and 5.1 respectively. It was later discovered that he had wrongly copied down an observation as 50 instead of 40. The correct standard deviation is

For a moderately skewed distribution, quartile deviation and the standard deviation are related by

The median of the data 13, 8, 11, 6, 4, 15, 2, 18 is

The sum of the squares of deviations of a set of observations has the smallest value; when the deviations are taken from their

If two samples of sizes 30 and 20 have means as 55 and 60 and variances as 16 and 25 respectively, then what would be the S.D. of the combined sample size 50 ?

If two variables x & y are related by 2x + 3y –7 = 0 and the mean and mean deviation about mean of x are 1 and 0.3 respectively, then the coefficient of mean deviation of y about mean is

Which of the following result hold for a set of distinct positive observations ?

Measures of dispersion are called averages of the ____ order .

For a set of 100 observations, taking assumed mean as 4, the sum of the deviations is –11 cm and the sum of the squares of these deviations is 257 cm. The coefficient of variation is :

If the AM and HM for two numbers are 5 and 3.2 respectively, then the GM will be

________ are used for measuring central tendency, dispersion and skewness

Which of the following companies A or B is more consistent so far as the payment of dividend is concerned ?
Dividend paid by A : 5 9 6 12 15 10 8 10
Dividend paid by B : 4 8 7 15 18  9  6  6

What is the coefficient of range for the following distribution ?
Class Interval : 10-19 20-29 30-39 40-49 50-59
Frequency :         11      25      16       7       3

An aeroplane flies from A to B at the rate of 500 km/hr and comes back from B to A at the rate of 700 km/hr. The average speed of the aeroplane is

For a moderately skewed distribution, which of the following relationship holds ?

___ & ___ are called ratio averages :

A sample of 35 observations has the mean 80 and S.D. as 4. A second sample of 65 observations from the same population has mean 70 and S.D. 3. The S.D. of the combined sample is :

If x and y are related as 3x – 4y = 20 and the quartile deviation of x is 12, then the quartile deviation of y is

Extreme values have ____ effect on mode .

The mean salary for a group of 40 female workers is Rs. 5,200 per month and that for a group of 60 male workers is Rs. 6,800 per month. What is the combined salary ?

The best measure of dispersion is

If the mean and S.D. of x are a and b respectively, then the S.D. of â€‹ is :

Suppose a population A has 100 observations 101, 102, 103, ...., 200 and another population B has 100 observations 151, 152, 153, ....., 250. If V_A and V_B represents the variance of the two populations respectively, then V_A/ V_B =

If there are two groups with 75 and 65 as harmonic means and containing 15 and 13 observations then the combined H.M. is given by :

The G.M. of 4, 6 and 8 is

The Mean and S.D. for group of 100 observations are 65 and 7.03 respectively. If 60 of these observations have mean and S.D. as 70 and 3 respectively, what is the S.D. for the group comprising 40 observations ?

The Quartile deviation for the date is
x : 2 3 4 5 6
y : 3 4 8 4 1

If X and Y are two random variables then v(x + y) is

G.M is a better measure than others when,

Mean and S.D. of x is 50 and 5 respectively. Find mean and S.D. of â€‹ .

Mean and S.D. of a given set of observations is 1,500 and 400 respectively. If there is an increment of 100 in the first year and each observation is hiked by 20% in 2nd years, then find new mean and S.D.

If 5 is subtracted from each observation of some certain item then its coefficient of variation is 10% and if 5 is added to each item then its, coefficient of variation is 6%. Find original coefficient of variation

The median of x, â€‹ is 10. Find x where x > 0 .

The average salary of 50 men was Rs. 80 but it was found that salary of 2 of them were Rs. 46 and Rs. 28 which was wrongly taken as Rs. 64 and Rs. 82. The revised average salary is :

Inter Quartile Range is _____ of Quartile Deviation .

The sum of squares of deviation from mean of 10 observations is 250. Mean of the data is 10. Find the coefficient of variation .

If A be the A.M. of two positive unequal quantities X and Y and G be their G.M., then ;

When mean is 3.57 and mode is 2.13 then the value of median is

If L₁ = highest observation and L₂ = smallest observation, then Coefficient of Range =

The equation of a line is 5x + 2y = 17, Mean deviation of y about mean is 5. Calculate mean deviation of x about mean .

If variance of x is 5, then find the variance of (2 – 3x)

The harmonic mean of 1, 1/2, 1/3 ... 1/n is

The mean weight of 15 students is 110 kg. The mean weight of 5 of them is 100 kg. and of another five students is 125 kg. then the mean weight of the remaining students is

In a class of 11 students, 3 students were failed in a test. 8 students who passed secured 10, 11, 20, 15, 12, 14, 26 and 24 marks respectively. What will be the median marks of the students

The variance of data : 3, 4, 5, 8 is

A lady travel at a speed of 20 km/h and returned at quicker speed. If her average speed of the whole journey is 24 km/h, find the speed of return journey (in km/h)

Let the mean of the variable 'x' be 50, then the mean of u = 10 + 5x will be

Given the observations 4, 9, 11, 14, 37. The Mean deviation about the Median is

β₁ represents

β​₂ represents

γ₁ is =

γ₂ is =

β coefficients are suggested by

γ coefficients are suggested by

The curve is bell shaped or symmetric then skewness value is

If β₂ = 3 then the Kurtesis is

If β_​2 < 3 then the Kurtesis is

If β_​2 > 3 then the Kurtesis is

If γ₂ = 0 then the Kurtesis is

If γ₂ < 0 then the Kurtesis is

The limits of the Karl Pearson Coefficient of Skewness .......

The limits of the Bowle's Coefficient of Skewness ........

For a positive skewed frequency curve, the inequality that holds is ?

For a negatively skewed frequency distribution curve, the third central moment,

For a symmetrical distribution, the coefficient of skewness ?

For a leptokurtic frequency curve, the measure of Kurtosis ?

In case of positive skewed distribution, the extreme values lie in the ?

The extreme values in a negatively skewed distribution lie in the ?

Bowley Coefficient of Skewness is based upon ..........

Kelley's Coefficient of Skewness is based upon ..............

Suppose 5 observations on marks are obtained as 78, 77, 79, 39, 29 .
 with m_r as the r^th order central moment. Identify the correct statement .

If in a data set, the first and the third quartiles are close enough, then the frequency distribution is ?

Which of the following is true for a symmetric distribution ?
Q₃ = Third quartile
Q₁ = First quartile
Q₂ = second quartile or median

There are six slips in a box and numbers 1, 1, 2, 2, 3 ,3 are written on these slips. Two slips are taken at random from the box. The expected values of the sum of numbers on the two slips is :

A letter is taken out at random from the word RANGE and another is taken out from the word PAGE. The probability that they are the same letters is :

An urn contains 9 balls two of which are red, three blue and four black. Three balls are drawn at random. The probability that they are of same colour is :

A card is drawn from a well shuffled pack of 52 cards. Let E₁ "a king or a queen is drawn" & E₂ "a queen or a jack is drawn", then :

In an non-leap year, the probability of getting 53 sundays or 53 Tuesdays or 53 Thursdays is :

If A and B are two events and , then the value of P(A' ∪ B') is :

The probability that there is at least one error in an account statement prepared by A is 0.3 and for Band C, they are 0.4 and 0.45 respectively. A, Band Cprepared 20, 10 and 40 statements respectively.' The expected number of correct statements in all is :

From a pack of cards, two are drawn, the first being replaced before the second is drawn. The chance that the first is a diamond and the second is king is :

The theory of compound probability states that for any two events A and B :

The probability of getting qualified in IITJEE and AIEEE by a student are respectively ​. The probability that the student gets qualified for one of the these tests is :

Amitabh plays a game of tossing a dice. If the number less than 3 appears, he is getting Rs. a, otherwise he has to pay Rs. 10. If the game is fair, find a :

Suppose E and F are two events of a random experiment. If the probability of occurrence of E is 1/5 and the probability of occurrence of F given Eis 1/10, then the probability of nonoccurrence of at least one of the events E and F is :

A bag contains 8 red and 5 white balls. Two successive draws of 3 balls are made without replacement. The probability that the first draw will produce 3 white balls and second 3 red balls is :

A box contains 12 electric lamps of which 5 are. defective. A man selects three lamps at random. What is the expected number of defective lamps in his selection ?

Three identical dice are rolled. The probability that the same number will appear on each of them is :

Among the examinees in an examination 30%, 35% and 45% failed in Statistics, in Mathematics and in at least one of the subjects respectively. An examinee is selected at random. Find the probability that he failed in Mathematics only :

An article consists of two parts A and B. The manufacturing process of each part is such that probability of defect in A is 0.08 and that B is 0.05. What is the probability that the assembled product will not have any defect ?

Daily demand for calculators is having the following probability distribution :
Demand :        1     2      3      4      5     6
Probability : 0.10 0.15 0.20 0.25 0.18 0.12
Determine the variance of the demand .

If 10 men, among whom are A and B, stand in a row, what is the probability that there will be exactly 3 men between A and B ?

The probability of an event can assume any value between

The odds are 9 : 5 against a person who is 50 years living till he is 70 and 8 : 6 against a person who is 60 living till he is 80. Find the probability that at least one of them will be alive after 20 years .

An urn contains 6 white and 4 black balls. 3 balls are drawn without replacement. What is the expected number of black balls that will be obtained ?

If P(A) = p and P(B) = q, then

The probability that a trainee will remain with a company is 0.8. The probability that an employee earns more than Rs. 20,000 per month is 0.4. The probability that an employee, who was a trainee and remained with the company or who earns more than Rs. 20,000 per month is 0.9. What is the probability that an employee earns more than Rs. 20,000 per month given that he is a trainee, who stayed with the company ?

A random variable X has the following probability distribution :
x :               –2    3    1
P (X = x) : 1/ 3 1/ 2 1/ 6
Find E(X² and E(2X + 5) .