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Note: Attempt all questions: Q. la) Classify the following variables as qualitative, discrete and continuous variables. (5) i. Eyes color ii. Brand of cars iii. Students' weight iv. Income of person v. Age of shopkeepers vi. Marital status of faculty members vii. Blood pressure of a person viii. The number of petals on a flower ix. Life time of car batteries x. Number of students in a class b) Explain briefly how averages, measures of dispersion, skewness and kurtosis are complementary to one another in understanding a frequency distribution? (4) ") The arithmetic mean of a symmetrical distribution is 45. What will be value of median and mode? Justify your result. (2) d) If E(X - 30) = 0 & Z(X - 25) = 20, what will be the value of mean? Justify your result.(2) e) The mean heights of three different sections having number of students 40, 37 and 43 are 62, 58 and 61 inches respectively. Find mean height of all the students in the class. (2) Q. 2a) Draw histogram, frequency polygon and ogive from the following data. (9) Weights 10-24.9 25-39.9 40-54.9 55-69.9 70-84.9 85-99.9 100-114.9 115-129.9 130-144.9 145-159.9 f 2 4 17 28 25 18 13 6 5 2 b) Two candidates X and Y at the BA examination obtained the following marks in ten papers. X 58 49 76 80 47 72 61 59 77 48 39 38 86 72 75 69 57 49 83 66 Which of the candidate showed a more consistent performance? (6) Q. 3a) The arithmetic mean of a set of data is 20. What will be the value of A.M if we multiply each observation by 3 and add 10. (3) b) Calculate Median, Dz, Po and Mode from the following frequency distribution. (12) Ages 20-25 25-30 30-35 35-40 40-45 45-50 50-55 55-60 60-65 65-70 16 68 204 233 240 655 803 294 21 4