
	Trending ▼ ICSE CBSE 10th ISC CBSE 12th CTET GATE UGC NET Vestibulares ResFinder

Pune University - FY BSc STATISTICS - I, April 2010

4 pages, 43 questions, 0 questions with responses, 0 total responses,

	pune_sci	+Fave Message
	Profile Timeline Uploads Q & A

Home > pune_sci >

Instantly get Model Answers to questions on this ResPaper. Try now!
NEW ResPaper Exclusive!

Formatting page ...

Total No. of Questions : 5] [Total No. of Pages : 4 [3717] - 13 P191 F.Y. B.Sc. STATISTICS / STATISTICAL TECHNIQUES Descriptive Statistics (Paper - I) (New Course) Time : 3 Hours] Instructions to the candidates : 1) All questions are compulsory. 2) Figures to the right indicate full marks. 3) Use of statistical tables and calculator is allowed. 4) Symbols have their usual meanings. 5) Graph papers will be supplied on request. [Max. Marks : 80 Q1) Attempt the following : a) Choose correct alternative for the following : i) If Corr(X, Y) = 0.8, then Corr(X + 3, Y + 5) is 1) 0.16 2) 0.1 3) ii) [4 x 1 = 4] 0.8 4) 0.12 A measure of dispersion which is independent of measuring units is 1) Standard deviation 2) Coefficient of variation 3) Range 4) Mean deviation.. iii) In case of two attributes A and B, the class frequency (AB) in terms of other class frequencies can be expressed as 1) (AB) (A) 2) (AB) (B) 3) (A) (AB) 4) N (AB) iv) For a cultural programme, 4 students are selected from each class to work as volunteers. The sampling scheme used in this situation is 1) Stratified sampling 2) Systematic sampling 3) Cluster sampling 4) Two stage sampling. P.T.O. b) State whether the following statements are true or false : [4 x 1 = 4] i) The algebraic signs of bxy, byx and r are same. ii) For a moderately asymmetric unimodal frequency distribution, the following empirical relationship holds approximately mean median = 3 (mean mode). iii) Among all the mean deviations, mean deviation about median is minimum. iv) In case of negatively skewed distribution we observe that mode < median < arithmetic mean. c) State any two demerits of standard deviation. d) Demand function of a shirt at a departmental store is given by Q = 4000 6P. The supply function is S = 4P. Find the price at which equilibrium of demand and supply is observed. [2] e) Define geometric mean and state the formula of it, in case of individual [2] observations. f) Explain the term Kurtosis . Also state the types of Kurtosis. Q2) Attempt any four of the following : [2] [2] [4 x 4 = 16] a) A sample of n observations on X and Y shows that X and Y are uncorrelated and their variances are 5 and 3 respectively. Let U = 3X + 5Y and V = X Y, show that U and V are uncorrelated. b) Construct a box plot to represent the data given below : 16, 12, 17, 29, 23, 15, 14, 19, 31, 13, 26. c) Explain the construction of Parato diagram with a suitable example. d) The first two moments of a distribution about the value 4 are 3 and 34 respectively. Find the mean and variance. e) Write a short note on ISI. f) The regression equations of X and Y are 3x y 5 = 0 and 4x 3y = 0. Obtain : i) ii) [3717] -13 x and y , Corr(X, Y). 2 Q3) Attempt any four of the following : a) [4 x 4 = 16] Find the elasticity of demand at price P = 2, if the demand function is : Q= 20 . (P + 1) 3 Interpret the result. b) Explain cluster sampling with an illustration. c) In a certain frequency distribution, Q1 + Q3 = 45 Q3 Q1 = 15, Where Q1 and Q3 denote lower and upper quartiles. If median is 25, obtain Bowley s coefficient of skewness and interpret it. d) Show that Yule s coefficient of association (QAB) between attributes A and B lies between 1 and 1. e) Define an index number. State the various problems involved in construction of an index number. f) Explain the concept of central tendency of data. State any two requirements of a good measure of central tendency? Q4) Attempt any two of the following : a) [2 x 8 = 16] Derive an expression for an angle between two regression lines. Hence discuss the situations of regression lines when : i) ii) c) r = 1. i) Show that S.D M.D about arithmetic mean. ii) b) r=0 State and prove the effect of change of origin and scale on variance. i) Explain the following terms : 1) 2) ii) dichotomy, ultimate class frequency. Spearman s rank correlation coefficient between X and Y is 2 3 and di 2 = 55, assuming that no rank is repeated, find the number of pairs. Note that, [3717] -13 di 2 is sum of squares of differences between the ranks. 3 d) i) Give the limitations of index numbers. ii) A person travels first 18 km at a speed of 50 km per hour and next 20 km at a speed of 70 km per hour. What is the average speed over the entire distance? Q5) Attempt any two of the following : [2 x 8 = 16] b) i) If (AB) = 256, ( B) = 768, ( A ) = 48 and ( ) = 144. Verify whether A and B are independent attributes. ii) a) Explain the procedure of fitting the exponential curve Y = abX. i) Explain the following terms : 1) 2) ii) Explained variation, Unexplained variation. Explain the following terms : 1) 2) c) i) Less than type cumulative frequency, Relative frequency. Compute Fisher s price index number for the following data : Commodity q0 p1 q1 A 5 8 3 4 B 2 6 6 2 C ii) p0 1 5 2 3 With usual notation, show that : L P P 01 P 01 =P L Q 01 Q 01 (ignore the multiplier 100). d) [3717] -13 Derive the formula of mode for a continuous frequency distribution. 4

Formatting page ...

Additional Info : F.Y. B.Sc. STATISTICS / STATISTICAL TECHNIQUES : Descriptive Statistics (Paper - I) (New Course), Pune University
Tags : pune university exam papers, university of pune question papers, pune university science, pune university courses, bsc pune university, msc pune university, pune university solved question papers, pune university model question paper, pune university paper pattern, pune university syllabus, old question papers pune university

pune_sci chat

Horizontal lines at:
Guest Horizontal lines at:
AutoRM Data:
Box geometries: