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Philadelphia University First Exam D Department of basic Science and Mathematics Elementary Probability and Statistics Student Name: Student Number: 19/11/2014 Section: Question one: Choose the correct answer of the following. 1. ___________ is the set of all people (or things) we want to study or have numerical information about. a) Inferential statistic. b) Probability. c) Population. d) Data. 2. a) b) c) d) Which of the following is true: The standard deviation of a data set is a measure of position. The country of birth (Jordan, Syria,..) is kind of quantitative(numerical) variable A correlation coefficient (r) is always between 0 and 1. The variance can’t be negative number. 3. If the median of the following set of data is 9.4. The value of x is: 12.9 a) b) c) d) 11.3 x 8.8 9.4 11.3 12.9 7.5 4. Suppose that a frequency distribution is skewed to the left. Which of the following is possible values of the mean, median and mode? a) b) c) d) Mean =50, Median =35, mode = 42. Mean = 35, Median = 50, mode = 42. Mean = 35, Median =42, mode =50. Mean =42, Median = 50, mode =35. Philadelphia University First Exam D Department of basic Science and Mathematics Elementary Probability and Statistics Student Name: Student Number: 19/11/2014 Section: 5. Find 90-percentile (P90) of the data represented in the following stem and leaf plot stem Leaf 4 5 6 23336 01115 567799 a) b) c) d) 69 51 46 67 6. The variance of the data set {11, 11, 11, 11} is a) b) c) d) 11 -11 44 0 7. The third quartile (Q3) of the data represented in the box plot below is 20 a) b) c) d) 120 40 100 80 40 60 80 100 120 140 160 180 Philadelphia University First Exam D Department of basic Science and Mathematics Elementary Probability and Statistics Student Name: Student Number: 19/11/2014 Section: Question two: For the following frequency distribution table (show your work). Find Class Frequency Relative frequency [10-20] [20-30] [30-40] [40-50] [50-60] 6 14 0.12 0.28 Cumulative frequency 6 20 11 10 0.22 0.20 40 50 A. The relative frequency of the class[30-40] B. The cumulative frequency of the class [30-40] Question three: Find the regression line equation of the data, such that π§ = ππ,∑ π = ππ, ∑ π = ππ, πΊππ = ππ. π , πΊππ = π. π , πΊππ = −ππ. π