Probability and Statistics MCQ Questions with answer

Q26. Which of the following is Not among the requisites of a good average?
a. should be based on all values
b. should be easy to calculate
c. should be affected by sampling fluctuation
d. should have sampling stability

Q27. Which of the following does not fall among the category of averages?
a. Mathematical Average
b. Harmonic Average
c. Positional Average
d. Miscellaneous Averages

Q28. Which of the following method cannot be used to find the arithmetic mean for individual series?
a. Indirect method
b. Direct method
c. Step deviation method
d. Short cut method

Q29. The geometric mean is ___ than the arithmetic mean.
a. always larger
b. never larger
c. always lesser
d. never lesser

Q30. The total number of items of a value divided by the sum of reciprocal of values of the variable is known as which of the following?
a. Harmonic mean
b. Deciles
c. Median
d. Weighted Arithmetic average

Q31. The most commonly used measure of central tendency is which of the following?
a. Step deviation method
b. Arithmetic average
c. Harmonic Mean
d. Geometric mean

Q32. The value which occurs with the maximum frequency is called ____.
a. Cumulative frequency
b. Quartile
c. Mode
d. Median

Q33. The absolute measure of variation does not include which of the following?
a. Standard Deviations
b. Range
c. Quartile Deviations
d. Median deviation

Q34. Which among the following is the simplest method of studying variations?
a. Limits
b. Dispersion
c. Range
d. Deviation

Q35. Quartile divides the total frequency into how many equal parts?
a. Two
b. Three
c. Four
d. Five

Q36. Which of the following term is Not used to describe standard deviation?
a. mean square error deviation
b. Mean error deviation
c. Variation
d. Root mean square deviation

Q37. Which of the following is Not among the properties of standard deviation?
a. is always lesser than zero
b. It is independent of origin
c. is the least of all RMS Deviations
d. It is not independent of scale

Q38. Which of the following is the requirement of Bernoulli Trials?
a. The probability of the outcome is random
b. Each trial has more than 2 outcomes
c. all the trials are mutually dependent
d. all the trials are statistically independent

Q39. Which of the following conditions is invalid regarding Binomial Random Variable?
a. Trails must be Bernoulli trails
b. The outcome should be a success or failure
c. The outcome must be dependent
d. The probability of success must be constant

Q40. The standard normal distribution is the Normal distribution for which the mean is ___ and the variance is 1.
a. Zero
b. One
c. Constant
d. Random variable

Q41. Which among the following is not a type of correlation?
a. Simple correlation
b. complex correlation
c. Linear correlation
d. Non-linear Correlation

Q42. Two variables are said to be ___ correlated when both the variables under study move in the same direction.
a. linearly
b. negatively
c. positively
d. perfectly

Q43. When both the variables change at a constant rate irrespective of the change in direction, then it is called ___ correlation.
a. non-linear
b. simple
c. partial
d. perfect

Q44. Which of the following is NOT among the methods used to find the measurement of correlation?
a. Scatter Diagram method
b. Karl Pearson’s Coefficient method
c. Pearson’s rank method
d. Spearman’s Rank Coefficient method

Q45. The measure of the average relationship between two or more variables in terms of the original units of the data is called which of the following?
a. deviation
b. regression
c. variation
d. dispersion

Q46. Multiple regression analysis can be used to find which of the following?
a. the estimates of the dependent variable from values of independent variables
b. To obtain the measure of the error involved
c. To obtain a measure of the proportion of variance
d. all the above

Q47. Which of the following is not among the types of index numbers?
a. Price index number
b. Value Index Number
c. Weighted Index number
d. Quality Index number

Q48. Which of the following is not among the types of weighted aggregate method?
a. Laspeyre’s method
b. Relative method
c. Fisher’s method
d. Walsch’s method

Q49. Fisher’s Ideal Method index number is the geometric mean of the Laspeyre and ___ method.
a. Dorbish
b. Bowley’s
c. Paasche’s
d. Kelly’s

Q50. The consistency and adequacy of an index number formula CANNOT be verified by which of the following?
a. Order reversal test
b. Factor reversal test
c. Time reversal test
d. Index reversal test

Software Testing and Quality Assurance with Answers pdf

Conclusion Points

While we can’t provide a full list of MCQs with answer keys in this response, we can definitely help you on your way to finding some great practice problems for Probability and Statistics!

Here are some tips for finding high-quality, up-to-date (2024) MCQ resources:

1. Textbooks: Statistics and Probability textbooks often have practice question sections at the end of each chapter. Look for recent editions (published in 2023 or 2024) to ensure the content is current.

2. Online Resources: Many websites offer free or paid access to practice questions. Reputable educational sites like testbook.com,  sanfoundry.com, etc. often have sections dedicated to Probability and Statistics with practice problems.

3. Educational Blogs: Blogs from statistics professors or data science instructors may have compilations of practice MCQs. Look for sites with a recent posting history (2024) to increase the chance of finding current content.

Remember, consistent practice is key to mastering Probability and Statistics. By working through a variety of problems, you’ll solidify your understanding of the concepts and approaches needed to succeed.