Quantitative Quiz 15MarkMarch 7, 2025Quantitative Aptitude Welcome to your Quantitative Quiz 15 What is the median of the data set {1, 2, 3, 4, 5}? 1 2 3 4 None What is the mode of the data set {1, 2, 2, 3, 4}? 1 2 3 4 None In a normal distribution, the mean, median, and mode are: Different The same Skewed Unrelated None What is the Law of Large Numbers? As the sample size increases, the sample mean approaches the population mean The larger the sample, the larger the variance The larger the sample, the more likely it will be skewed The sample size does not affect the mean None Which of the following is NOT a characteristic of a Poisson distribution? It models the number of occurrences of an event in a fixed interval of time or space Events occur with a constant mean rate Events are independent of each other It assumes a normal distribution of events None What is a time series analysis used for? To predict future values based on past data To test hypothesis about sample means To compare the means of different groups To calculate correlation between two variables None Which of the following is true about a sample? It always represents the entire population It is the entire set of observations of interest It is a subset of the population It has no connection to the population None What does a correlation coefficient of 0.9 indicate? A weak positive relationship A perfect positive relationship A strong positive relationship No relationship None Which of the following is used to detect if there is a significant relationship between two categorical variables? T-test Chi-square test F-test Z-test None What is the formula for calculating the variance of a sample? ∑(x− x ˉ ) / n ∑(x− x ˉ ) ^ 2 / n n ∑(x− x ˉ ) 2 / n-1 ∑(x− x ˉ ) / n-1 None What is the definition of a random variable? A variable with no specific distribution A variable that can take different values based on chance A variable with a fixed value A variable determined by the researcher None In hypothesis testing, what does a Type II error mean? Rejecting a true null hypothesis Accepting a false null hypothesis Accepting a true alternative hypothesis Rejecting a false alternative hypothesis None What does a Box Plot display? The distribution of a dataset and its central tendency The relationship between two variables The correlation between categorical variables The variance of a dataset None What is the primary purpose of the Monte Carlo simulation? To calculate the population mean To simulate random processes and estimate probabilities To visualize distributions To conduct hypothesis testing None Which of the following distributions is used for modeling rare events in fixed intervals? Normal distribution Poisson distribution Exponential distribution Binomial distribution None Which of the following is a key assumption in linear regression analysis? The dependent variable is categorical There is no relationship between the variables The relationship between the dependent and independent variable is linear The data follows a Poisson distribution None What does the term "sampling error" refer to? The difference between the sample mean and population mean The error made in measuring the sample data The error in calculating the population variance The difference between a sample statistic and the true population parameter None Which of the following distributions is used when the variance is unknown and the sample size is small? Normal distribution Poisson distribution T-distribution Chi-square distribution None Which of the following best describes a binomial distribution? A distribution of continuous data A distribution of discrete data with two possible outcomes A distribution that follows a normal curve A distribution for measuring time between events None In regression analysis, the R-squared value represents: The slope of the regression line The proportion of the variance in the dependent variable that is predictable from the independent variable(s) The error term in the regression model The significance level of the model None Which of the following statements is true about the mode of a data set? The mode is always unique The mode is the average of the data The mode is the most frequent value in the data The mode is always equal to the median None Which of the following is true about the normal distribution? It is skewed to the left It has two peaks It is symmetric about the mean It does not have a defined mean None What does the term "significance level" (alpha) represent in hypothesis testing? The probability of committing a Type I error The probability of committing a Type II error The probability that the null hypothesis is true The probability of rejecting the null hypothesis when it is true None Which of the following tests would be appropriate to compare the means of three or more independent groups? T-test Z-test ANOVA Chi-square tes None What is the null hypothesis in hypothesis testing? The hypothesis that there is a significant effect or relationship The hypothesis that there is no significant effect or relationship The hypothesis that the data is normally distributed The hypothesis that the sample mean is greater than the population mean None In a standard normal distribution, what is the value of the mean? 1 0 10 Undefined None What is the purpose of a z-score? To measure how far a data point is from the mean in terms of standard deviations To calculate the probability of an event occurring To measure the spread of data To calculate the variance of the sample None Which of the following is true about a negatively skewed distribution? The right tail is longer than the left tail The mean is greater than the median The left tail is longer than the right tail The median is greater than the mode None Which of the following best describes the chi-square test? A test for comparing means A test for independence between two categorical variables A test for correlation between two variables A test for the difference in variances between two populations None What does a p-value of 0.03 mean in hypothesis testing? There is a 3% chance that the null hypothesis is true There is a 3% chance of making a Type I error There is a 97% chance of rejecting the null hypothesis There is a 3% chance of obtaining the observed results, assuming the null hypothesis is true None In a scatter plot, if the data points are closely packed along a straight line, it suggests: No relationship between the variables A weak positive relationship A strong negative relationship A strong linear relationship None 1 out of 7 Time's upTime is Up! Post Views: 139
