Statistics

101. According to the Central Limit Theorem, for a sample size of n = 50, the sampling distribution of the mean is approximately:

• A Symmetric
• B Normal Correct answer
• C Binomial
• D Poisson

102. In a moderately asymmetrical distribution, if the mean is 84 and the median is 82, what is the approximate value of the mode?

• A 78 Correct answer
• B 82
• C 74
• D 86

103. If events A and B are mutually exclusive with P(A) = 0.4 and P(B) = 0.2, what is P(A or B)?

• A 0.080
• B 0.6 Correct answer
• C 1.00
• D 0.20

104. Which of the following is a non-probability sampling method?

• A Simple Random Sampling
• B Stratified Sampling
• C Quota Sampling Correct answer
• D Systematic Sampling

105. The standard deviation of a set of 50 identical observations (e.g., all values are 45) is equal to:

• A 45
• B 0 Correct answer
• C 1
• D Cannot be determined

106. If events A and B are mutually exclusive with P(A) = 0.2 and P(B) = 0.3, what is P(A or B)?

• A 0.060
• B 0.5 Correct answer
• C 1.00
• D 0.10

107. The sum of deviations of a set of 56 observations from their arithmetic mean is always:

• A Zero Correct answer
• B Positive
• C Negative
• D Sum of observations

108. For a binomial distribution with n = 6 and p = 0.5, the mean is:

• A 3.00 Correct answer
• B 6.00
• C 1.50
• D 3.00

109. If event A and event B are independent with P(A) = 0.2 and P(B) = 0.5, what is P(A and B)?

• A 0.1 Correct answer
• B 0.7
• C 0.30
• D 0.00

110. For a binomial distribution with n = 12 and p = 0.4, the variance is:

• A 2.88 Correct answer
• B 4.80
• C 12.00
• D 5.76