TG EAMCET (EAPCET) Mathematic Multiple Choice Questions (MCQs)

TG EAMCET Mathematics - Measures of Dispersion and Probability

1. 171. Which of the following is the correct formula for the range of a dataset?
   a) Range = Maximum value - Minimum value
   b) Range = (Sum of values) / Number of values
   c) Range = Variance - Mean
   d) Range = Standard deviation × 2
   Answer: a) Range = Maximum value - Minimum value
2. 172. The mean deviation of a set of values is defined as the:
   a) Average of the squared differences from the mean
   b) Average of the absolute differences from the mean
   c) Difference between the maximum and minimum values
   d) Square root of variance
   Answer: b) Average of the absolute differences from the mean
3. 173. The variance of a dataset is:
   a) The average of the squared differences from the mean
   b) The sum of the values divided by the number of observations
   c) The square root of the standard deviation
   d) The square of the mean deviation
   Answer: a) The average of the squared differences from the mean
4. 174. Which of the following is true for a probability distribution?
   a) The sum of the probabilities of all outcomes must be 1
   b) The sum of the probabilities of all outcomes must be less than 1
   c) The sum of the probabilities of all outcomes must be greater than 1
   d) The sum of the probabilities of all outcomes depends on the number of outcomes
   Answer: a) The sum of the probabilities of all outcomes must be 1
5. 175. Which of the following statements about independent events is correct?
   a) The occurrence of one event affects the probability of the other
   b) The occurrence of one event does not affect the probability of the other
   c) The two events are mutually exclusive
   d) The probability of both events occurring is the sum of their individual probabilities
   Answer: b) The occurrence of one event does not affect the probability of the other
6. 176. The multiplication theorem of probability is used to find the probability of:
   a) The occurrence of at least one event
   b) The occurrence of two independent events
   c) The occurrence of two dependent events
   d) Both independent and dependent events
   Answer: d) Both independent and dependent events
7. 177. Bayes' Theorem is used to:
   a) Calculate the probability of an event based on prior knowledge
   b) Find the mean of a dataset
   c) Determine the variance of a dataset
   d) Calculate the range of a dataset
   Answer: a) Calculate the probability of an event based on prior knowledge
8. 178. In a binomial distribution, the probability of success on a single trial is:
   a) The same for every trial
   b) Different for every trial
   c) Zero for every trial
   d) One for every trial
   Answer: a) The same for every trial
9. 179. In the Poisson distribution, the probability of a given number of events occurring in a fixed interval is:
   a) Dependent on the number of trials
   b) Independent of the time interval
   c) Constant for all intervals
   d) Based on the average number of occurrences in the interval
   Answer: d) Based on the average number of occurrences in the interval
10. 180. If two events are mutually exclusive, the probability of both events occurring is:
    a) The product of the probabilities of the two events
    b) The sum of the probabilities of the two events
    c) Zero
    d) Equal to the probability of the first event only
    Answer: c) Zero

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