IIBA® – CBDA Exam Free Cloned Questions 3 1234567891011121314151617181920 Created by aboozarkordi IIBA® – CBDA Exam Free Cloned Questions 1 / 20 1. In a positively skewed distribution, how do the mean, median, and mode compare? A) Median > Mode > Mean B) Mode > Mean > Median C) Mean > Median > Mode D) Mode > Median > Mean In a positively skewed distribution, the mean is pulled in the direction of the skewness, so Mean > Median > Mode. 2 / 20 2. What happens to the mean, median, and mode if each data point in a dataset is multiplied by a constant? A) Mean remains unchanged, Median multiplies by the constant, Mode remains unchanged B) Mean multiplies by the constant, Median multiplies by the constant, Mode remains unchanged C) Mean multiplies by the constant, Median remains unchanged, Mode multiplies by the constant D) Mean, Median, Mode all multiply by the constant When each data point is multiplied by a constant, the mean is affected, but the median and mode remain unchanged. 3 / 20 3. You have survey data that includes responses from participants in different age groups regarding their preferred mode of transportation. Which type of chart would be suitable for displaying the distribution of preferences among different age categories? A) Box-and-Whisker Plot B) Radar Chart C) Treemap D) Histogram A Treemap would be suitable for displaying the distribution of preferences among different age categories, providing a visual representation of the relative sizes of each category. 4 / 20 4. A researcher is studying the impact of a new teaching method in a school district and wants to ensure representation from each grade level. What sampling technique is suitable for achieving this goal? A) Snowball Sampling B) Systematic Sampling C) Stratified Sampling D) Cluster Sampling Stratified Sampling would be suitable for ensuring representation from each grade level by dividing the population into strata (grade levels) and then randomly selecting samples from each stratum. 5 / 20 5. What does the Law of Large Numbers state in the context of statistics? A) As sample size increases, the variability of sample means decreases. B) Larger datasets always lead to more accurate predictions. C) The probability of rare events increases with larger sample sizes. D) A small sample is sufficient to make accurate population-wide inferences. The Law of Large Numbers states that as the sample size increases, the variability of sample means decreases. In other words, larger samples tend to produce more reliable and stable estimates of population parameters, reducing the impact of random fluctuations. 6 / 20 6. What is the mode corresponding to observations 4,7, 4, 2,7,4, 2,2,7? A) Null B) 3 C) 7 D) 4 data 7, 4, 2 are repeated 3 times each and have the same frequency, so there is no mode; that’s mean 7 / 20 7. A company wants to estimate the average satisfaction score of its customers. Which sampling method is most appropriate for obtaining a representative sample from its customer database? A) Quota Sampling B) Convenience Sampling C) Stratified Sampling D) Simple Random Sampling Simple Random Sampling would be most appropriate as it ensures every customer has an equal chance of being selected, providing a representative sample from the entire customer base. 8 / 20 8. Imagine you want to compare the market share of different smartphone brands in a specific region. What type of chart would effectively illustrate the percentage distribution of market share for each brand? A) Bubble Chart B) Stacked Bar Chart C) Histogram D) Box Plot A Stacked Bar Chart would be effective for illustrating the percentage distribution of market share for different smartphone brands, showing the contribution of each brand to the total market share. 9 / 20 9. A business analyst has prepared a map to show variation in different states. She has labeled sales with S and profit as P with their values and the state name. On what basis has she colored the states? A) Clusters based on sales values. B) Segmentation based on profit values. C) Clusters based on sales and profit values. D) Segmentation based on sales values. Here clusters are formed on both profit and sales values. States with high profit AND sales are in red color, with low sales AND profit are in blue color while others are in orange. This can be seen for Washington and Montana states, even though they have high sales values, they are blue in color because they have low profits. 3.2 Business Visualizations 10 / 20 10. Consider the dataset: 14, 18, 14, 22, 25, 18, 22, 25, 30, 35. What can be said about the mean, median, and mode? A) Mean = 22, Median = 22.5, Mode = 14 B) Mean = 22, Median = 22.5, Mode = None C) Mean = 22.9, Median = 22, Mode = 14 D) Mean = 22.9, Median = 22.5, Mode = 14 Mean = 22 (sum/number of values), Median = 22.5 (middle value of the ordered set), Mode = 14 (most frequent value). 11 / 20 11. A study reports a 90% confidence interval for the mean time spent on a task as (15 minutes, 25 minutes). What would happen to the confidence interval if the sample size is increased while keeping other factors constant? A) The interval will become wider. B) The interval will remain the same. C) The interval will shift to the left. D) The interval will become narrower. Increasing the sample size tends to decrease the standard error, making the confidence interval narrower. 12 / 20 12. What is an assumption for a chi-squared test of independence? A) Independence of observations B) Random sampling C) Normal distribution of the data D) Homogeneity of variances An assumption for a chi-squared test of independence is that the observations are independent of each other. 13 / 20 13. You are tasked with presenting the sales performance of a retail store over the past year. What type of chart would be most appropriate for showcasing monthly sales trends and identifying seasonal patterns? A) Scatter Plot B) Bar Chart C) Line Chart D) Pie Chart A Line Chart would be most appropriate for presenting monthly sales trends and identifying seasonal patterns, as it allows for a clear visualization of the overall trend over time. 14 / 20 14. A claim has been made that the risk of companies admitted to the stock exchange is less than 1000. What are the hypotheses for the test? A) H0 :μ≤1000,H1 :μ>1000 B) H0 :μ≥1000,H1 :μ<1000 C) H0 :μ>1000,H1 :μ≤1000 D) H0 :μ=1000,H1 :μ≠1000 The null hypothesis (H0) typically includes a statement of equality (≥,≤,=), while the alternative hypothesis (H1) contains the opposite inequality. 15 / 20 15. For a normal distribution with a mean of 70 and a standard deviation of 5, what is the probability that a randomly selected value is greater than 75? A) 34.13% B) 15.87% C) 50.00% D) 15.87% Using z-scores, we find that the probability of a value greater than 75 is approximately 15.87%. 16 / 20 16. A delivery service has three routes with daily delivery capacities as follows: Route 1: 50 packages, Route 2: 40 packages, Route 3: 30 packages. If each route has a delivery time of 2 hours, what is the primary goal of optimizing the delivery schedule using operational research techniques? A) Minimize delivery time B) Minimize the number of routes C) Equalize route capacities D) Maximize package capacity The primary goal of optimizing the delivery schedule in this scenario is to minimize delivery time, ensuring efficient use of the available delivery capacity on each route. 17 / 20 17. In a standard normal distribution (z-distribution), what is the probability that a randomly selected value falls within one standard deviation of the mean (between -1 and 1)? A) 34.13% B) 95.45% C) 68.27% D) 99.73% In a standard normal distribution, approximately 68.27% of the values fall within one standard deviation of the mean. 18 / 20 18. A researcher calculates a 95% confidence interval for the mean height of a population to be (65 cm, 75 cm). What does this interval signify? A) In 95% of repeated samples, the mean height will fall between 65 cm and 75 cm. B) The researcher is 95% confident that the mean height is exactly 70 cm. C) The mean height is between 65 cm and 75 cm in 95% of the population. D) There is a 95% probability that the true mean height is between 65 cm and 75 cm. The correct interpretation of a 95% confidence interval is that, in 95% of repeated sampling, the calculated interval will capture the true population parameter (mean height in this case). 19 / 20 19. You want to represent the correlation between two variables, such as hours spent studying and exam scores, for a group of students. Which type of chart would help visualize the strength and direction of the relationship? A) Radar Chart B) Scatter Plot C) Line Chart D) Heatmap A Scatter Plot would be suitable for visualizing the correlation between two variables, showing the relationship between hours spent studying and exam scores for individual students. 20 / 20 20. Suppose you have data on the distribution of household expenses across different categories, such as rent, utilities, groceries, and entertainment. Which type of chart would effectively represent the proportions of each expense category in the overall budget? A) Area Chart B) Donut Chart C) Bubble Chart D) Pie Chart A Pie Chart would be effective for representing the proportions of each expense category in the overall budget, providing a clear visual depiction of the distribution of expenditures. Your score is LinkedIn Facebook Twitter VKontakte Restart quiz
