Business Statistics Online Assignments

Correct MCQ Answer has bold/underline

Q1. The algebraic sum of the deviations from mean is:

1. Maximum
2. Minimum
3. Zero
4. None of the above

Q2. The arithmetic mean of the first n natural numbers 1, 2, ……,n is:

1. n/2
2. (n+1)/2
3. n(n+1)/2
4. None of the above

Q3. Which of the following relationship is true for a asymmetrical distribution:

1. mean – mode = 3(mean – median)
2. mode = 3medain – 2mean
3. 3medain = 2mean + mode
4. All of the above

Q4. If the mean and coefficient of variation of a set of data is 10 and 5 respectively, then the standard deviation is:

1. 10
2. 50
3. 5
4. None of the above

Q5. If the first and third quartiles are 22.16 and 56.36 respectively, then the quartile deviation is:

17. 1
18. 2
19. 3
20. None of the above

Q6. The relationship between mean deviation and quartile deviation is:

1. MD = 5/6 QD
2. MD = 6/5 QD
3. MD = 4/5 QD
4. MD = 5/4 QD

Q7. If the mean deviation is 8, then the value of the standard deviation will be:

1. 15
2. 12
3. 10
4. None of the above

Q8. If quartile deviation is 8, then the value of standard deviation will be:

1. 12
2. 16
3. 24
4. None of the above

Q9. If events are mutually exclusive, then:

1. their probabilities are less than one
2. their probabilities sum to one
3. both events cannot occur at the same time
4. both of them contain every possible outcome of an experiment.

Q10. Posterior probabilities for certain events are equal to their prior probabilities provided:

1. all the prior probabilities are less than zero.
2. Events are mutually exclusive
3. Events are statistically independent
4. None of the above

Q11. What is the probability that a value chosen at random from a population is larger than the median of the population?

1. 25
2. 50
3. 75
4. 1

Q12. Bayes’ theorem is useful in

1. Revising probability estimates
2. Computing conditional probabilities
3. Computing sequential probabilities
4. None of the above

Q13. A probability of getting the digit 2 in a throw of unbiased dice is

1. 0
2. ½
3. 1/6
4. ¾

Q14. A bag contains 3 red, 6 white and 7 blue balls. If two balls are drawn at random, then the probability of getting both white balls is

1. 5/40
2. 6/40
3. 7/40
4. 14/40

Q15. What is the probability of getting more than 4 in rolling a dice?

1. 1/6
2. 1/3
3. ½
4. 1

Q16. If the outcome is an odd number when a die is rolled, then the probability that it is a prime number is

1. 1/3
2. 2/3
3. 1/6
4. 5/6

1. Independent
2. Dependent
3. Equally likely
4. None of the above

Q18.

1. 10
2. 90
3. 00
4. 75

Q19. In a binomial distribution if n is fixed and p > 0.5, then

1. The distribution will be skewed to left
2. The distribution will be skewed to right
3. The distribution will be symmetric
4. Cannot say anything

Q20. The binomial distribution is symmetric when

1. p < 0.5
2. p > 0.5
3. p = 0.5
4. p has any value

Q21. The standard deviation of the binomial distribution is:

1. np
2. vnp
3. npq
4. vnpq

Q22. All normal distribution are

1. Bell shaped
2. Symmetrical
3. Defined by its parameter
4. All of the above

Q23.

1. 2
2. 5
3. 10
4. 15

Q24. For a standard normal probability distribution, the mean µ and standard deviation are:

1. µ = 0 , s = 1
2. µ = 16 , s = 4
3. µ = 25 , s = 5
4. µ = 100 , s = 10

Q25. For a normal distribution if mean is 30, then its mode value is

1. 15
2. 30
3. 50
4. None of the above

Q26. Which of the following is a necessary condition for using a t distribution?

1. Small sample size
2. Unknown population standard deviation
3. Both (a) and (b)
4. Infinite population

Q27. Sampling distribution is usually the distribution of

1. Parameter
2. Statistic
3. Mean
4. Variance

Q28. The process of selecting a subset of a population for a survey is known as

1. Survey research
2. Representation
3. Triangulation
4. Sampling
5. What is sampling for groups with considerable variation but similar to each other called?
6. Cluster
7. Stratified
8. Systematic
9. Random

Q30. If the relationship between x and y is positive, as variable y decreases, variable x

1. Increases
2. Decreases
3. Remains same
4. Changes linearly

Q31. The line of best fit to measure the variation of observed value of dependent variable in the sample data is

1. Regression line
2. Correlation coefficient
3. Standard error
4. None of these

Q32.

1. Less than one
2. More than one
3. Equal to one
4. None of these

Q33. Linear programming is a

1. Constrained optimization technique
2. Technique for economic allocation of limited resources
3. Mathematical technique
4. All of the above

Q34. A constraint in a linear programming model restricts

1. Value of objective function
2. Value of a decision variable
3. Use of the available resources
4. All of the above
5. The best use of linear programming technique is to find an optimal use of
6. Money
7. Manpower
8. Machine
9. All of the above

Q36. While solving a LP model graphically, the area bounded by the constraints is called

1. Feasible region
2. Infeasible region
3. Unbounded solution
4. Unbounded solution

Q37. A feasible solution to an LP problem

1. Must satisfy all the problem’s constraints simultaneously
2. Need not satisfy all the constraints, only some of them
3. Must be a corner point of the feasible region
4. Must optimize the value of the objective function

Q38. The standard deviation of first n natural numbers is:
Options C Correct answer

Q39. Two events A and B are statistically independent when
Option D is correct answer

Q40. For a standard normal probability distribution, the mean µ and standard deviation are

1. µ = 0 ,  s = 1
2. µ = 16 ,  s = 4
3. µ = 25 ,  s = 5
4. µ = 100 ,  s = 10