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تسريب الإحصاء والاحتمالات للحاسبات الان: Statistics and Probability for Computing (CEN1602). Choose the correct answer: 1. Which statement best describes a variable in statistics? (a) It has a single fixed value (b) Its value can differ across observations (c) It is a calculated summary (d) It represents one data set (e) It is always numerical 2. Which type of data represents categories such as colors or brands? (a) Quantitative (b) Discrete (c) Continuous (d) Numerical (e) Qualitative 3. Which graph is most suitable for qualitative data? (a) Histogram (b) Scatterplot (c) Pie chart (d) Boxplot (e) Dotplot 4. A distribution with a long tail to the right is: (a) Symmetric (b) Uniform (c) Skewed right (d) Skewed left (e) Bimodal 5. Extremely large or small values compared to the rest are called: (a) Modes (b) Classes (c) Intervals (d) Outliers (e) Medians 6. If 10 out of 50 observations are in one class, the relative frequency of that class is: (a) 0.20 (b) 0.15 (c) 0.10 (d) 0.25 (e) 0.50 7. A numerical value computed from a sample is called a: (a) Parameter (b) Variable (c) Statistic (d) Population (e) Constant 8. Which measure of center is most affected by extreme values? (a) Median (b) Mode (c) Mean (d) Quartile (e) Range 9. Which measure of spread is computed from all data values? (a) Range (b) Interquartile range (c) Mode (d) Median (e) Variance 10. Sample variance divides by (n – 1) in order to: (a) Reduce inaccuracy or bias (b) Simplify calculation (c) Increase spread (d) Match the median (e) Remove outliers 11. Chebyshev's theorem applies to: (a) Normal data only (b) Symmetric data only (c) Any distribution (d) Large samples only (e) Small samples only 12. For the data set {3, 6, 9}, the mean equals: (a) 6 (b) 5 (c) 7 (d) 6.33 (e) 9 13. If Q₁ = 12 and Q₃ = 28, the interquartile range equals: (a) 12 (b) 14 (c) 16 (d) 28 (e) 40 14. Bivariate data involve: (a) One variable in each observation (b) Qualitative data only (c) Two samples (d) Time-series data (e) Two variables for each observation 15. In this course, relationships in bivariate data are mainly studied using: (a) Frequency tables (b) Scatterplots (c) Pie charts (d) Bar charts (e) Stem-and-leaf plots 16. A correlation coefficient close to -1 indicates: (a) Strong negative relationship (b) Weak relationship (c) No relationship (d) Strong positive relationship (e) Random data 17. If r = 0.05, the relationship is best described as: (a) Strong positive (b) Strong negative (c) Moderate (d) Weak (e) Perfect 18. In regression analysis, the main use of the regression line in this course is to: (a) Find exact observed values (b) Summarize frequencies (c) Predict one variable using another (d) Measure correlation strength (e) Identify outliers 19. In the regression equation y = a + bx, b represents the: (a) Intercept (b) Mean (c) Correlation (d) Slope (e) Variance 20. Probability is best interpreted as: (a) A fixed constant (b) Mean value (c) Sample size (d) Standard deviation (e) Relative frequency

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