Bachelor Of Management Studies (BMS) SEM I 2022 2023 Nov 2023 STATISTIC Question Paper - Mumbai University | munotes

Questions asked in this paper

1. Q1 Attempt Both (A) and(B):
   • A) Fill in the blank with correct alternative (Answer any eight) 8
   • 1.When the data is classified with reference to time it is called classification
   • a) Quantitative b)Geographical C) Chronological d) None of these
   • 2. When two or more characteristics are to be represented bar diagram is used
   • 3. If a fair coin is toss which of the following statement is false?
   • a)Head and tail are mutually exclusive outcomes
   • b)Head and tail are equally likely outcomes
   • c)Head and tail are dependent outcomes
   • d) Head and tail are exhaustive outcomes
   • 4.Which of the following are not particulars of useful table?
   • 5.The difference between lower and upper limit of a class is called
   • (a) Class mark (b) length of class interval (c) Class limit (d) Mid-point of a class
   • 6.The Coefficient of Correlation always lies between = -1 (d)None of these
   • 7.The requirement of good measure of dispersion should be
   • a) Rigidly defined b) Based on all observation
   • c) Capable of further algebraic treatment d)All of the above variation occur due to weather or customs
   • a) cyclic b) Irregular c) Seasonal d) None of these
   • 10.Maximum criterion is a decision making under \
   • a) Risk b) Uncertainty c) certainty d) none of these . \
   • B) State whether the following statement are true or False (Answer any 7) 7
   • 1. Quartile deviation is an obsolute measure of dispersion,
   • 2. If the correlation coefficient is zero then the association between the two variable is
   • 4. There are four components of time series
   • 5. If events A and B are exhaustive event then AUB is a null set
   • 6. A random variable which can take all possible value over an interval is called a discrete
   • 7. There are always two lines of regression for a paired set of data
   • 8. Collection ,Analysis and interpretation of data are the four component of
   • 9. Ifthe variable are independent then they are correlated
   • 10. Future trend value can be estimated with the help of straight line trend
2. Q2 A) Yields of grains in quintal in three consecutive year is given below . Represent the above information by percentage bar diagram 8 marks
   • B) The following are the marks of 3-student in 4-subject.the weight of the subject are given . Decide which of the three student is the best 7
   • C) Draw ‘less than’ cumulative frequency curve for the following data. Hence find (i) 2-quartiles (ii) No of worker having between 75 and 95 8
   • D) The following table show frequency distribution of body weight (in gms) of fish in pound is given below: (7) Weight(in gms) 201-202 205-206 Find modal body weight of fish in a pond
3. Q3 A) Compute lower and upper quartiles and hence find the quartile deviation and Coefficient of quartiles deviation for the following frequency distribution 8 marks
   • B) Calculate Mean Deviation from mean and its Co-efficient for the following data. No of employees | 70 140 7
   • C) Find standard deviation for the following data: 8
   • D) There are 2-groups of children having 50 and 70 children respectively .the arithmetic meanof Weight of children in 2-groups are 30kgs and 40kgs with standard deviation 16 kgs and Skgs respectively. Find the combined mean and standard deviation of entire group containing 120 children 7
4. Q4 A) Fit a trend line by the method of least squares and estimate the trend for the year 2009. For the following data ,find Price Index Number Using simple Aggregate Method. (7) 8 marks
   • C)Calculate Laspeyre’s and Paasche’s ,Fisher’s Index number
   • D) Calculate Kelley’s Index Number from the following data. Commodity Price in Rs. Per Unit Quantity 7
5. Q5 A) Calculate EVPI for the following Act Payoff in Rs ‘000’ 8 marks
   • B) The Probability distribution function (pdf) of a discrete random variable X 7
   • C) Attempt (Any three): 15
   • i) Distinguish between primary and secondary data
   • (ii) Merit and demerits of Median the Component of Decision-making
   • (iv) What are the limitation of index number
   • (v) What are the function of statistics

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