iNeuron Intelligence Pvt Ltd 32. What is the second quartile equivalent to in terms of percentiles? a. 25th percentile b. 50th percentile c. 75th percentile d. 100th percentile Ans. b) 50th percentile 33. If the median is equal to the first quartile (Q1), what can you infer about the data distribution? a. The data is perfectly symmetrical. b. The data is left-skewed. c. The data is right-skewed. d. There is not enough information to make an inference. Ans. a) The data is perfectly symmetrical. 34. In a dataset with an even number of observations, where is the second quartile (Q2) located? a. Midway between the two middle values b. At the average of the two middle values c. Closest to the maximum value d. Closest to the minimum value Ans. b) At the average of the two middle values 35. What is the range of percentiles typically used to represent interquartile range (IQR)? a. 25th to 75th percentile c. 20th to 80th percentile Ans. a) 25th to 75th percentile b. 10th to 90th percentile d. 30th to 70th percentile iNeuron Intelligence Pvt Ltd 36. If the first quartile (Q1) is greater than the second quartile (Q2), what does this suggest about the data? a. The data is perfectly symmetrical. b. The data is left-skewed. c. The data is right-skewed. d. None Ans. b) The data is left-skewed. 37. What is the 40th percentile equivalent to in terms of quartiles? a. First quartile (Q1) b. Second quartile (Q2) c. Third quartile (Q3) d. There is no direct equivalent. Ans. a) First quartile (Q1) 38. If a dataset has an odd number of observations, how many values are in the second quartile (Q2)? a. One b. Two c. Three d. It depends on the total number of observations. Ans. a) One 39. What is the primary purpose of calculating quartiles in statistics? a. Measure of central tendency b. Measure of spread c. Identification of outliers d. Assessment of skewness Ans. b) Measure of spread iNeuron Intelligence Pvt Ltd 40. In a perfectly symmetrical dataset, how do the values of the first quartile (Q1) and the third quartile (Q3) compare? a. Q1 > Q3 b. Q1 = Q3 c. Q1 < Q3 d. It depends on the total number of observations. Ans. b) Q1 = Q3 41. How is the interquartile range (IQR) affected by outliers in the dataset? a. IQR is not affected by outliers. b. IQR increases with outliers. c. IQR decreases with outliers. d. The effect depends on the type of outliers. Ans. a) IQR is not affected by outliers. 42. What is a hypothesis in statistics? a. A proven fact b. An assumption to be tested c. A random guess d. A statistical law Ans. b) An assumption to be tested 43. In a hypothesis test, the null hypothesis is denoted by: a. H0 b. H1 c. μ d. α Ans. a) H0 iNeuron Intelligence Pvt Ltd 44. What does the alternative hypothesis (H1) represent? a. The status quo b. The hypothesis to be accepted c. A contradictory statement to the null hypothesis d. The observed data Ans. c) A contradictory statement to the null hypothesis 45. In a two-tailed hypothesis test, the critical region is divided into: a. One region b. Two regions c. Three regions d. Four regions Ans. b) Two regions 46. If the p-value is less than the significance level (α), what should you do with the null hypothesis? a. Reject it b. Accept it c. Revise it d. Ignore it Ans. a) Reject it 47. A Type I error occurs when: a. The null hypothesis is false, and it is rejected b. The null hypothesis is true, and it is rejected c. The alternative hypothesis is true, and it is accepted d. The alternative hypothesis is false, and it is accepted Ans. b) The null hypothesis is true, and it is rejected iNeuron Intelligence Pvt Ltd 48. What is the consequence of committing a Type II error? a. Rejecting a false null hypothesis b. Accepting a false null hypothesis c. Rejecting a true null hypothesis d. Accepting a true null hypothesis Ans. c) Rejecting a true null hypothesis 49. What does the significance level (α) represent in hypothesis testing? a. The probability of a Type I error b. The probability of a Type II error c. The observed data d. The population mean Ans a) The probability of a Type I error 50. The significance level (α) is typically set at: a. 0.01 b. 0.05 c. 0.10 d. 1.00 Ans. b) 0.05 51. What is the role of the p-value in hypothesis testing? a. To set the significance level b. To determine the sample size c. To assess the strength of evidence against the null hypothesis d. To establish the alternative hypothesis Ans. c) To assess the strength of evidence against the null hypothesis 52. Which error is considered more serious in hypothesis testing? a. Type I error b. Type II error c. Both are equally serious d. Neither is serious Ans. a) Type I error
