Q-1: Specify the mathematical symbol used for each of the following descriptive measures. A. Sample mean B. Sample standard deviation C. Population mean D. Population stand. deviation Q-2: How is a z-score obtained? What is the interpretation of a z-score? An observation has a z-score of 2.9. Roughly speaking, what is the relative standing of the observation? Q-3: Given the following index numbers for 10 years. Calculate arithmetic, geometric, harmonic means. Q-4: The number of children in each of the thirty families is as follows. Calculate median, Quartile1, Quartile3, Decile1, percentile60, mean and mode. 3 1 2 0 4 6 1 0 1 5 2 3 3 0 7 2 2 0 3 1 2 2 4 2 4 0 4 3 1 4 Q-5: For the data given below, calculate arithmetic, geometric, harmonic means, median, mode, S, mean deviation (M.D), S2 , Coefficient of variation CoV, range, quartile deviation and interquartile range. Q-6: Calculate arithmetic, geometric, harmonic means, median, mode, S, (M.D), S2 , CoV, range, quartile deviation, interquartile range and its lower, upper limits of the following data. Q-7: A sample of 10 participating soldiers revealed the following data on total load mass, in kilograms. Calculate arithmetic, geometric, harmonic means, range, S, M.D, S2 and coefficient of variation (CoV). Q-8: For the following frequency distribution, calculate arithmetic, geometric, harmonic means, median, mode, S, (M.D), S2 , CoV, quartile deviation, interquartile range and its lower, upper limits. Age Groups 10-12 12-14 14-16 16-18 18-20 Frequency 14 26 42 30 8 Q-9: For the following frequency distribution, calculate arithmetic, geometric, harmonic means, median, mode, S, M.D, S2, range, CoV, quartile deviation, interquartile range and its lower, upper limits. Marks Obtained 0-9 10-19 20-29 30-39 40-49 Number of students 5 8 4 3 2 Q-10: The following distribution gives the number of defective pieces in 100 uniform size samples of certain kind of bolt. Calculate arithmetic, geometric, harmonic means, median, mode, S, M.D, S2 , range, CoV, quartile deviation, interquartile range and its lower, upper limits. No. of Defective Bolt 0-4 5-9 10-14 15-19 20-24 25-29 Frequency 12 20 48 10 7 3 Q-11: The following data represent the lives, recorded in weeks, of 50 car batteries of a certain brand. Calculate arithmetic, geometric, harmonic means, median, mode, S, M.D, S2 , CoV. Life in Weeks 16-20 21-25 26-30 31-35 36-40 41-45 46-50 No. of Batteries 4 6 8 14 8 6 4 Q-12: The following table shows the measurement of heights (in c.m) of 100 students, calculate arithmetic, geometric, harmonic means, median, mode, S, M.D, S2, range and CoV. Height (cm) 135-144 145-154 155-164 165-174 175-184 185-194 Number of students 5 14 25 32 16 8