Download JNTUH MBA 1st Semester 2018 Dec Statistics for Management Question Paper

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Question Paper Code: CMBB05

Jawaharlal Nehru Technological University Hyderabad

MBA I Semester End Examinations (Supplementary) - December, 2018

Regulation: R18

STATISTICS FOR MANAGEMENT

(MBA)

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Answer ONE Question from each Unit

All Questions Carry Equal Marks

All parts of the question must be answered in one place only

Max Marks: 70

Time: 3 Hours

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UNIT I

1. (a) Define Statistics and explain the characteristics of Statistics. [7M]
   (b) Write the limitations of statistics and its branches of study. [7M]
2. (a) Write Short notes on:
   i. Descriptive Statistics
   ii. Inferential Statistics [7M]
   

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   (b) What are all the ways Statistics can be misused? [7M]

UNIT - II

1. (a) Enlist the characteristics of Mean and Median. [7M]
   (b) The following Table 1 gives some frequency data, find Mode using bimodal series. [7M]
   Table 1
   

   Size of Item	Frequency
   10-20	10
   20-30	18
   30-40	25
   40-50	26
   50-60	17
   60-70	4

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2. (a) What are the properties of good Dispersion? [7M]
   (b) From the Table 2, calculate the measure of Skewness using the mean, Median and Standard Deviation. [7M]
   Table 2
   

   X	f
   10-20	18
   20-30	30
   30-40	40
   40-50	55
   50-60	38
   60-70	20
   70-80	16

UNIT III

1. (a) Discuss the general rules for drawing graphs and diagram. [7M]
   

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   (b) Construct a bar graph to compare the growth of sex-ratio in different state from the Table 3. [7M]
   Table 3
   

   States / UT	1961	1971	1981	1991	2001
   Delhi	785	801	808	827	821
   Haryana	868	867	870	860	846
   Uttar Pradesh	907	876	882	876	898

2. (a) Write short notes on:
   i. Histogram
   

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   ii. Pie Chart
   iii. Scatter Diagram [7M]
   (b) Draw a multiple bar diagram for the following data in table 4. [7M]
   Table 4
   

   Literacy Rate	Year	Total Population	Male	Female
   1951	18	27	8
   1961	28	40	15
   1971	34	45	21
   1981	43	56	29
   1991	52	64	39
   2001	64	75	54

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UNIT - IV

1. (a) List out the procedure in one way ANOVA. [7M]
   (b) A company keeps a records of accidents as in Table 5. During a recent safety review, a random sample of 60 accidents was selected by the day of the week on which they occurred. Test whether there is any evidence that accidents are most likely on some days than other. [7M]
   Table 5
   

   Day	No of accidents
   MON	8
   TUE	12
   WED	9
   THU	14
   FRI	17

2. (a) Calculate the Rank Coefficient of Correlation from the following data given in Table 6: [7M]
   

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   Table 6
   

   X	Y
   75	120
   88	134
   95	150
   115	110
   70	140
   60	142
   80	100
   81
   50

   (b) The data on price and quantity purchased relating to a commodity for 5 months is given below in Table 7: [7M]
   Table 7
   

   Month	January	February	March	April	May
   Prices (Rs)	10	10	11	12	12
   Quantity(Kg)	5	6	4	3	3

   Find the Pearson Correlation Coefficient between prices and quantity and comment on its sign and magnitude.

UNIT - V

1. (a) Explain the characteristics and uses of index number. [7M]
   

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   (b) The following Table 8 shows the number of motor registrations in a certain territory for a term of 5 years and the sale of motor tyres by a firm in that territory for the same period. Find the Regression equation to estimate the sale of tyres when the motor registration is known. Estimate sale of tyres when registration is 850. [7M]
   Table 8
   

   Year	Motor Registrations	No of Tyres sold
   1	600	1250
   2	630	1100
   3	720	1300
   4	750	1350
   5	800	1500

2. (a) Below in Table 9 are the figures of production (in thousand quintals) of a sugar factory: [7M]
   Table 9
   

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   Year	1992	1993	1994	1995	1996	1997	1998
   Production	80	90	92	83	94	99	92

   i. Fit a straight line trend to these figures.
   ii. Plot these figures on a graph and show the trend line.
   iii. Estimate the production in 2001.
   (b) Given are the following price-quantity data in Table 10, with price quoted in Rs per kg and production in qtls. [7M]
   Table 10
   

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   Item	1980		1985
   	Price	Production	Price	Production
   Fish	15	500	20	600
   Mutton	18	590	23	640
   Chicken	23	450	24	500

   Find
   i. Laspeyre's Price Index for 1985, using 1980 as the base
   ii. Laspeyre's Quantity Index for 1985, using 1980 as the base
   iii. Paasche's Price Index for 1985, using 1980 as the base
   iv. Paasche's Quantity Index for 1985, using 1980 as the base

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