MS – 488

*MS488* II Semester B.H.M. Examination, May/June 2014 (Semester Scheme) (2011-12 Only) (Repeaters) HOTEL MANAGEMENT 2.6 : Business Statistics Time : 3 Hours

Max. Marks : 100

Instruction : Diagram and graph should be written on separate graph sheets. SECTION – A 1. Answer any 8 sub-questions.

(8×2=16)

a) Define ‘Statistics’. b) Write 2 uses of ‘graphs’. c) What is ‘Arithmetic Mean’ ? d) What is ‘Mean Deviation’ ? e) Write any 2 methods in calculating ‘Trend Values’. f) Calculate X12 , when N1 = 100, X1 = 10.4, N2 = 150, X2 = 11.23. g) Calculate M, when Z = 16.44 and X = 15.78. h) Calculate QD, when Q1 = 28 and Q3 = 60. i) Calculate PE, when r = + 0.0262 and N = 9. j) Calculate Range (R), when L = 50 and S = 28. SECTION – B Answer any 3 questions :

(3×8=24)

2. Write any 4 uses and 4 limitations of ‘Diagrams’. P.T.O.

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3. Find the missing frequency, when ‘z’ = 56 marks. Marks :

30 − 40

40 − 50

50 − 60

60 − 70

70 − 80

80 − 90

Students :

2

18

?

20

8

3

4. Calculate ‘MD’ from M and its coefficient. Weight (Kgs.) :

40

50

60

70

80

90

Number of Persons :

3

17

24

16

8

2

5. Present the following data by ‘Percentage Bar’. Component of the Construction of House

Steel

Cost (in lakhs of Rs.)

2

Cement Wood 2

1

Brick 1

Labour Miscellaneous 2

2

6. Find ‘Rank correlation coefficient’ between X and Y. X:

10

12

60

60

70

Y:

15

20

20

20

50

SECTION – C Answer any 4 questions :

(4×15=60)

7. Write methods of constructing ‘INDEX NUMBER’ with its respective formula. 8. Calculate ‘Fisher’s Index Number’ Items

2012

2013

P

Q

P

Q

A

8

10

10

11

B

10

9

12

9

C

16

16

20

7

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9. Determine equation of straight line ‘Trend values’ by least squares method and present the same graphically. Years :

2009

2010

2011

2012

2013

Sales (in lakhs of Rs.)

4

6

7

8

10

10. Calculate ‘Karl Pearson’s coefficient of correlation’. X:

55

56

57

58

59

60

61

Y:

59

62

60

56

60

59

57

11. Calculate ‘SD’ using assumed mean method

Marks

Students

Less than 10

18

< 20

35

< 30

58

< 40

73

< 50

88

< 60

96

< 70

100

12. Calculate ‘QD’ and its coefficient. Variables

:

Frequencies :

10

20

30

40

50

60

4

7

15

8

7

2

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II Semester B.H.M. Examination, May/June 2014 (Repeaters) (Prior to 2011-12) HOTEL MANAGEMENT 2.6 : Business Statistics Time : 3 Hours

Max. Marks : 80

SECTION – A Answer any ten questions.

(10×2=20)

1. a) Write the limitations of statistics. b) What are the measures of central tendency ? Which can be located graphically ? c) What are the properties of arithmetic mean ? d) Distinguish between variable and attribute. Give an example for each. e) What is the relationship between mean, median and mode ? f) Find the standard deviation of 1, 2, 4, 8, 16, 22 g) Explain the construction of histogram. h) What is a irregular variation of time series ? i) Why Fisher Index Number is called as an ideal index number ? j) Write any two merits of least square method. k) The mean salary of 40 employees is 16 thousand and average salary of other 60 employees is 20 thousand. Find the average salary of all the 100 employees taken together. l) What is meant by positive and negative correlation ?

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SECTION – B Answer any three questions :

(3×5=15)

2. Discuss the advantages of limitations of representing statistical data by diagram. 3. Represent by means of percentage bar diagram the following data Items of Expenditure

Family A

Family B

Food

150

350

Clothing

38

120

Rent

56

130

Education

24

68

Miscellaneous

70

95

4. An incomplete frequency distribution is given below Variable

10 − 20

20 − 30

30 − 40

40 − 50

Frequency

12

30

34

65

50 − 60 60 − 70 70 − 80 ?

25

18

Given that the median value is 46. Determine the missing frequency. 5. Heights of fathers and sons are given in inches. Calculate Spearman’s rank. Correlation coefficient. Height of Father

Height of Son

65

67

66

68

67

64

68

68

69

72

71

70

73

69

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Particulars

Factory A

Factory B

No. of employees

50

100

Average wages per head per month

Rs. 1,200

Rs. 850

Standard deviation of wages per head per month

Rs. 9

Rs. 8

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In which factory is there great variation in the distribution of wage per employee ? Which factory pays more wages ? SECTION – C Answer any three questions :

(3×15=45)

7. Define index numbers. Explain the steps involved in the construction of Index Numbers. Also write the uses of Index Numbers. 8. Calculate mean deviation about mean and its coefficient value from the following data

Marks

No. of Students

10 − 20

8

20 − 30

10

30 − 40

15

40 − 50

20

50 − 60

25

60 − 70

18

70 − 80

9

80 − 90

5

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9. Calculate correlation coefficient between price (x) and demand (y) of the data. Given below Price

30

35

42

39

45

50

52

55

Demand

80

70

72

70

75

72

60

65

10. Fit a straight line trend by the method of least square. Estimate the value for the year 2016. (Represent the values graphically). Year

Values

2002

13

2004

18

2006

25

2008

40

2010

45

2012

60

11. For the following data, calculate Laspeyer’s, Paasche’s and Fisher’s price index Number.

Commodity

Base year

Current year

Price

Quantity

Price

Quantity

L

5

6

6

8

M

3

8

2

10

N

2

12

4

8

O

8

3

4

10

P

9

6

9

6

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