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# Question 1: (Marks: 4x2=8) Give an answer of short questions. a) Why Quartile deviation is better than the Rang? b) How standard deviation is better

Question 1:   (Marks: 4x2=8) Give an answer of short questions. a) Why Quartile deviation is better than the Rang? b) How standard deviation is better than mean absolute deviation? c) What is the uselessness of Chebyshe’s Theorem? d) If coefficient of skewness = 0, then what would you say about the skewness of  the distribution? Question 2:   (Marks: 4+8=12) a) Show that the range is greatly affected by the extreme values; interpret the  result. 996 999 9 997 995 1000 1014 1002 1001 b) The mean and the standard deviation of a set of values is 50 and 10. Compute  2 X S ±  and 3 X S ± . Interpret the results in the light of (i) empirical rule (ii)  Chebyshe’s inequality. Question 3:   (Marks: 5+5=10) a. Find the first two moments about mean from the following data. X= 34, 70, 42, 54, 40, 68, 56, 38, 36, 72 b. Calculate Bowley’s coefficient of skewness from the following information. 1 Q = 34.087156          3 Q  = 44.962963
X % = 39.606382

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