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![c. 3
d. 0
15. Median of discrete even series is given by
a. [(n + 1) / 2]th value
b. n / 2th value
c. 5th value
d. [(n + 1) / 4]th value
16. To find median value data should be arranged in
e. Any order
f. Alternatively high and low values
g. Ascending order
h. Haphazard way
17. Whenever data deals with speed, distance and time then the best average is
a. Median
b. Mode
c. G.M.
d. H.M.
18. Quartiles are
a. Affected by extreme values
b. Middle 20 % values
c. Not affected by extreme values
d. Affected by Modal value
19. A good measure of variation should be
a. Based on some values
b. Affected by extreme values
c. Rigidly defined
d. Fluctuating](https://image.slidesharecdn.com/stat-answer-key-121221130903-phpapp02/75/Stat-answer-key-4-2048.jpg)
Stat answer-key
- 1. MODEL PAPER MB0040 Statistics for Management (4 Credits) Book code:B1129 Group A: 1 Marks Questions (Question Number 1-40) Group B: 2 Marks Questions (Question Number 41-60) Group C: 4 Marks Questions (Question Number 61-75) Full Marks: 140 Please Answer All Questions – Only One Option is Correct Group A 1. Statistics are collected in a a. Random Manner b. Whims & Fancies c. Systematic manner d. Haphazard manner 2. In industry Statistics is applied in the following areas a. Plant layout b. Quality control c. No. of vendors d. Transfers of Managers 3. In which of the following cases, we can make statistical analysis (a) Data only on winning margin of a legislative candidate (b) Data on result of football final match in a tournament (c) Mark-sheet of a student (d) Number of people died in a bus accident
- 2. 4. Statistical Surveyis a scientific process of a. Collection of data b. Collection and analysis of data c. Analysis of data d. Collection and analysis of numerical data 5. Control methods adopted in a survey at every stage is to check e. Cost f. Time consumed g. Accuracy h. Accuracy, measurement analysis and interpretation 6. The data collected for the first time is known as a. Data b. Primary data c. Secondary data d. Series 7. When the area to be covered is very large and periodic information is required then the method of collection is done by a. Direct personal observation b. Indirect oral interview c. Through Questionnaires d. Through local agencies 8. In classification each unit is allotted to a. overlapping group b. Only one group c. Two or more groups d. None of the groups 9. Data classified according to the time of occurrence is known as
- 3. a. Qualitative classification b. Conditional classification c. Chronological classification d. Geographical classification 10. Classification of workers according to education and skill is called a. Two-way b. Manifold c. One-way d. Time series 11. Data arranged logically according to size is known as e. Chronological classification f. Quantitative classification g. Statistical series e. Manifold classification 12. Measure of central tendency are of a. Second order b. Zero order c. First order d. No order 13. A good measure of Average should be a. Affected by extreme values b. Affected by sampling fluctuations c. Based on all values d. Comparable 14. The average value of -4, -3, 0, 3, 4 is a. – 1 b. 2
- 4. c. 3 d. 0 15. Median of discrete even series is given by a. [(n + 1) / 2]th value b. n / 2th value c. 5th value d. [(n + 1) / 4]th value 16. To find median value data should be arranged in e. Any order f. Alternatively high and low values g. Ascending order h. Haphazard way 17. Whenever data deals with speed, distance and time then the best average is a. Median b. Mode c. G.M. d. H.M. 18. Quartiles are a. Affected by extreme values b. Middle 20 % values c. Not affected by extreme values d. Affected by Modal value 19. A good measure of variation should be a. Based on some values b. Affected by extreme values c. Rigidly defined d. Fluctuating
- 5. 20. If “m”outcomes are favorable to an event A and “n” are total outcomes of an experiment then P(A) = a. m + n / n b. n – m / n c. n / m d. m / n 21. Probability of getting head when a coin is thrown, comes under a. Conditional probability b. Prior approach c. Empirical approach d. Subjective approach 22. In real life it is always not possible to conduct experiment, because of a. Selection of units b. Lack of equipments c. High cost d. Low response 23. When A and B are any two events the probability of either A or B is represented by a. P(A U B) b. P(Ac U Bc) c. P(A B) d. P(Ac Bc) 24. To find the probability of the events A and B we use a. P(A U B) b. P(A U B)c c. P(A B)c d. P(A B)
- 6. 25. If A1,A2……………An are “n” mutually exclusive and exhaustive events and B is a common event, then Baye’s theorem deals with a. P(B / Ai) b. P(B Ai) c. P(Ai U B) d. P(Ai / B) 26. In conditional probability it is a. Possible to incorporate latest information b. Possible to incorporate the cost aspects c. To find probability of getting a sample value given population value. d. To find population value, given sample value 27. The mean and variance of Binomial distribution are a. p, q b. np, npq c. np, npq d. np npq 28. The Poisson variate assumes values from a. - to + b. O to n c. - to n d. 0 to 29. In short time we gather information about population by a. Enumeration b. Counting c. Sampling d. Observation
- 7. 30. A sampledesign that permits us to obtain tests and estimation about population parameters is called a. Bernoulli principle b. Principle of validity c. Principle of persistence of small numbers d. Principle of optimization 31. Sampling errors are also known as a. Inherent error b. Forced errors c. Reading errors d. Measurement errors 32. Standard error of mode is 1.20 and that of median is 1.02, then efficient estimator is a. S.D b. Mean c. Mode d. Median 33. If the population value follows normal distribution then to have 95% confidence interval for estimate we use a. Z = 1.645 b. Z = 2.05 c. Z = 1.96 d. Z = 2.58 34. Suppose we want to test the Null hypothesis that the population mean is 300, it is symbolized as a. H0: = 300 b. HA: = 300 c. H0: > 300
- 8. d. H0: < 300 35. 2 – Distribution is defined as a. (0 – E)2 / E b. (0 – E / E)2 c. (0 – E)2 E d. (0 – E)2 / E 36. If F F(1,2) then 1/F a. F (2, 1) b. F (1, 2) c. F (1 / 2) d. F (1, 2) 37. The value of Karl Pearson’s correlation coefficient always is a. Less than one b. Greater than one c. Lies between minus one and plus one d. -2 r 2 38. Time series deals with a. Only secular trend b. Short term fluctuation c. Oscillation d. Trend, seasonal, cyclical and irregular variations 39. Irregular variations are caused by a. Floods b. Booms and depression c. Weather conditions
- 9. d. Festivals 40. Simple aggregative method comes under a. Implicit weighting method b. Explicit weighting method c. Weighted index d. Un-weighted index Group B 41. In which of the following cases, we can make statistical analysis – (a) Data only on winning margin of a legislative candidate (b) Data on result of football final match in a tournament (c) Mark-sheet of a student (d) Number of people died in a bus accident 42. In which of the following cases, we cannot use statistics- (a) we have data on color likeness of a person (b) We have temperature of a malaria patient at 1 hour interval for the last 2 days (c) We have data on equity share value of a company for the last one year (d) We have data on number of defectives in a lot of finished products 43. Control methods are used to a. Determine sample size and reliability of results b. Determine cost and time involved c. Determine sample units to be studied and measurement d. Check accuracy, coverage, analysis and interpretation
- 10. 44. Two functionsof classification are a. Presentation and interpretation b. Scrutiny and editing c. Reduce bulk data and facilitate comparisons d. Forming trend and tendencies of data 45. Classifications done on the basis of attributes blindness and region are known as a. Two-way qualitative classification b. Two-way quantitative classification c. Two-way conditional classification d. Two-way qualitative and geographical classification 46. Find the mean value for the grouped data C.I 10-20 20-30 30-40 40-50 50-60 60-70 Freq 15 10 8 12 16 9 a. 35.44 b. 34.8 c. 33.2 d. 40 47. The mean of the following distribution is X 145 155 165 175 Freq 10 12 15 10 a. 159.7
- 11. b. 160.3 c. 162.1 d.165.9 48. An example of mutually exclusive events are a. A = {1, 2} B = {2, 3} b. A = {1, 2} B = {3, 4} c. A = {1, 1} B = {2, 1} d. A = {2, 1} B = {2, 2} 49. The 5th term in the expansion of (q+p)12 are a. 12C5 q5 p10 b. 12C6 q10 p5 c. 12C5 q5 p8 d. 12C4 q8 p4 50. Examples for existent and hypothetical populations are a. Number of leaves in three month old plants of same type and throwing a die infinite number of time to observe an even number b. Number of leaves in three month old plants of same type and tossing a coin once c. Throwing a die twice and tossing a coin thrice d. Getting defectives in a days production and height of people 51. The criteria for a good estimator are a. Large sample size, accurate methods of collection b. Sufficiency, Accuracy and large sample size
- 12. c. Accuracy, largesample size, unbiasedness d. Efficiency, sufficiency, unbiasedness and consistency 52. Testing of hypothesis a. Proves H0 is true b. Does prove H0 is false c. Accepts or Rejects H0 d. Accepts HA 53. If F F (1 , 2) then 1/F a. 1 / F (2 , 1) b. F (2 , 1) c. 1/F(2) d. 1 / F (1) 54. Correlation is said to be linear and non-linear if a. The ratio of change between the variables is constant b. The ratio of change between the variables is constant and change in one variable is equal to the percentage change in other variable respectively c. Change in variables are haphazard d. Change in one variable is equal to the percentage change in another variable 55. Steps in business forecasting involve the following in that order a. Understanding the past, determining the phase of business activity to be measured, selection and complication of data, Analysis
- 13. b. determining thephase, analyzing data, determining the phase of business activity, selection and compilation c. Determining the phase of business activity to be measured the phase, analysis and selection and compilation d. Determining the phase of business activity to be measured, the phase selection and compilation and analysis 56. Equation to modified exponential curve is of the form a. Y = (ab)x b. Y = axb c. Y = abx d. Y = a log x 57. Cross-cut analysis theory studies a. Combined effects of factors b. The effect of each factor combined c. The effect of each factor independently d. Effects of different groups of factors 58. Seasonal variations refers to a. Variation in time series that are periodic in nature b. Variations in time series that are periodic in nature and occur regularly over short periods during a year c. Variations in time series that are periodic in nature and occur regularly d. Variations in time series that are not periodic in nature and occur regularly
- 14. 59. Method ofleast squares is based on a. (Y-Yc) = 0 and (Y-Yc)3 is minimum b. (Y-Yc)2 = 0 and (Y-Yc) is minimum c. (Y-Yc) = 0 and (Y-Yc)2 is minimum d. (Y-Yc) = 0 and (Y-Yc)2 is maximum 60. The index number for 1998 is 120 and for 2002 is 150. Then index number 1998 calculated with 2002 as base year is a. 75 b. 80 c. 115 d. 120 Group C 61. An advertising agency mailed 100 questionnaires to the viewers to know the impact level of the advertisement. It received only one questionnaire back. Choose the correct combination below. i. It is not possible to apply statistics because a. It does not deal with qualitative data b. It does not deal with single result c. The answer replied is not clear d. It is not confidential ii. The method adopted to collect information is a. Oral interview
- 15. b. Telephonic interview c.Mailed questionnaire d. Schedule iii. Agency has adopted a. Census method b. Sampling method c. Collection of data from secondary source d. Complete enumeration iv. The main disadvantage of questionnaire is a. Uneducated respondents b. Unnecessary questions c. Confidential questions d. Superfluous questions 62. A hospital wants to start some new department for treating patients. Since the cost will be high they decide to estimate the return. i. The most appropriate units of observation will be . a. Each number of the locality b. Doctors of all hospitals c. Patients
- 16. d. The returnreceived by other hospitals having same department ii. The data is collected by a. Primary source b. Secondary source c. Indirect oral interview d. Direct personal observation iii. Unit of measurement will be a. Net Return b. Total Return c. Percentage net return d. Break-even point iv. Another useful added information for the purpose of investigation is a. Percentage of patients wanting such new department b. Percentage of patients living in the locality c. Number of Doctors in the locality d. Number of Beds available in the hospital 63. There are 200 employees in a firm. 81 of them are Male and the rest Female. 12 of them are Doctorates 53 of them are Graduates and the rest Post graduates. Education level of females are as follows: 8 doctorates 89
- 17. Post graduates andthe rest graduates i. Without tabulating can we quickly say that a. Male post graduates are more than female P.G b. Female P.G’s are more than Male P.G’s c. Both are equal d. Difficult to say ii. The above form of describing a situation is known as a. Text form b. Quantitative form c. Tabulation d. Classification iii. In tabular form it is a. Table 1 Education level Male Female Total Doctorates 4 8 12 P.G 31 22 135 Graduates 46 89 53 81 119 200 b. Table 1 Education level Male Female Total
- 18. Doctorates 4 8 12 P.G 46 89 135 Graduates 31 22 53 81 119 200 c. Information insufficient d. Table 1 Education level Male Female Total Doctorates 4 8 12 P.G 56 84 140 Graduates 21 27 48 81 119 200 a. c b. b c. d d. a iv. Tabulation a. Brings out figures clearly b. Brings out layout nicely
- 19. c. Make comparisonseasier d. Do not bring out trends 64. Study the following table to answer sub questions (i) to (iv) Component Establishment Prize Agents Profit amount commission cost Amount (Rs’000) 10 25 20 45 i. The important parts of the table missing is a. Body b. Table No c. Caption d. Stub ii. Agent’s percentage commission on establishment cost is a. 200 b. 180 c. 100 d. 250 iii. The suitable diagram for presentation is a. Simple bar diagram
- 20. b. Multiple bardiagram c. Subdivided bar diagram d. Frequency curve iv. The type of classification is a. Manifold b. Two-way c. Geographical d. One-way 65. Mr. Anil goes to a supermarket. He purchases 8 pieces of item A @ Rs.5/- each, 12 pieces of item B @ Rs.10/- each, 15 pieces of item C @ Rs.20/- each, 10 pieces of item D @ Rs.15/- each and 6 pieces of item E @ Rs.12/- each. i. Form a frequency distribution a. C. I 0-5 5-10 10-15 Freq 8 27 16 b. C. I 0-10 10-20 20-30 Freq 15 20 16 c. Rs. 5 10 12 15 20 Freq 8 12 6 10 15 d. Pieces X 8 12 6 15 10 Freq 5 10 12 15 12
- 21. a. Table b b. Table c c. Table d d. Table a ii. It is a ……………. Distribution a. Discrete b. Continuous c. Relative d. Cumulative iii. The total amount spend by him is a. 750 b. 682 c. 650 d. 600 iv. The average price per piece is a. 12.05 b. 13.88 c. 14.88 d. 13.37
- 22. 66. A salesmanager has ten salesmen working under him. He moves with them closely and know the strengths and weakness of each. Under any new circumstances he knows that Rama, Ramu, Ranga and Rathan will succeed in the ratio 2:3:4:6 i. The probability that Ramu will succeed is a. 2 / 15 b. 3 / 15 c. 4 / 15 d. 6 / 15 ii. The probability that Rama and Rathan will succeed is a. 18 / 225 b. 25 / 225 c. 20 / 225 d. 4 / 75 iii. The probability that Ramu or Ranga will succeed is a. 7 / 15 b. 6 / 15 c. 8 / 15 d. 10 / 15
- 23. iv. The typeof approach followed by sales manager is a. Classical b. Statistical c. Subjective d. Axiomatic 67. In a Binomial distribution p = 0.4 and n = 6 then i. P(x = 0) is a. 0.062 b. 0.078 c. 0.78 d. 0.008 ii. P(X 4) is a. 0.007 b. 0.006 c. 0.008 d. 0.010 iii. P(X 1) is a. 0.1202 b. 0.1313
- 24. c. 0.1296 d. 0.1206 iv.P(X = 3) is a. 0.029 b. 0.291 c. 0.009 d. 0.019 68. From a population whose mean is 40, a random sample of 10 are taken. The sample mean is 39.2 and S.D 4. i. Population parameter and sample Statistics are a. 40, 10 0 b. 10, 40 0 c. 40, 39.2, 40 0 d. 40, 39.2 1 ii. Standard error of mean is a. 0.9 0 b. 1.33 1 c. 1.25 0 d. 2.0 0
- 25. iii. 39.2 isknown as a. Confidence value 0 b. Internal estimate 0 c. Point estimate 1 d. Parameter 0 iv. The internal estimate can be found if a. Population size is known 0 b. Population S.D is known 0 c. If sample size is greater than 30 0 d. Confidence level is given 1 69. A good Estimator should satisfy i. The criteria a. Unbiasedness and consistency b. Unbiasedness and reliability c. Consistency and accuracy d. Consistency, Sufficiency, Efficiency and Unbiasedness ii. By consistency we mean a. As n , the sample value approaches parameter value
- 26. b. Mean ofthe sampling distribution is equal to population mean c. Statistics calculated form sample is accurate d. Statistics calculated from sample is reliable iii. By sufficiency we mean a. Sample size is sufficient b. Accuracy is sufficient c. The estimator makes much use of information given d. Reliability is sufficient iv. By efficiency we mean a. Mean is very efficient estimator b. Standard error of statistics is sufficient c. Standard error of statistics is small d. Standard error of statistics is reliable 70. Mean of a sample size of 15 is 40. Its standard deviation is 8 i. Standard error of mean is. a. 2.14 b. 1.42 c. 1.33 d. 1.25
- 27. ii. The standarddeviation being same, for the standard error to be 1.07, the sample size should be a. 50 b. 30 c. 57 d. 38 iii. 95% confidence interval for the mean is a. 40 3.2 b. 40 4.6 c. 40 5.0 d. 40 3.5 iv. 90% confidence interval for the mean is a. 40 3.1 b. 40 4.2 c. 40 5.1 d. 40 3.8 71. Given Observed frequency 7 10 12 11 Expected frequency 4 8 15 13
- 28. i. (0-E)2value is a. 26 b. -26 c. 0 d. 14 ii. 2 calculated value is a. 4.02 b. 3.66 c. 3.94 d. 3.51 iii. The degrees of freedom to be taken is a. 3 b. 4 c. 2 d. 5 iv. 2 tabulated value at 5% level of significance is a. 3.84 b. 7.91
- 29. c. 11.12 d. 5.99 72.Out of 1400 people 800 belonged to Rural area out of 700 people 200 from urban liked a new movie i. The information can be tabulated as a. Linked Disliked Total Rural 400 400 800 Urban 300 300 600 Total 700 700 1400 b. Linked Disliked Total Rural 600 200 800 Urban 100 500 600 Total 700 700 1400 c. Linked Disliked Total Rural 500 300 800 Urban 200 400 600 Total 700 700 1400 d.
- 30. Linked Disliked Total Rural 500 300 800 Urban 200 400 600 Total 700 700 1400 a. Table c b. Table b c. Table d d. Table a ii. The expected value of cell (Rural, liked) is a. 400 b. 300 c. 600 d. 450 iii. (0-E)2 for the cell (urban disliked) is a. 25 b. 0 c. 16 d. 36 iv. The degrees of freedom for the test is
- 31. a. 4 b. 2 c.1 d. 3 73. A Business man would like to know what is Business forecasting. He has the following doubts i. In which one of the following cases forecast will not be applied a. Temperature of the day b. Buying Mango c. Share prices d. Amount of rain expected ii. Business forecasting means a. Just analysis of past economic conditions b. Just analysis of present economic conditions c. Past and present economic conditions d. Analysis of data published by Government iii. Objective of Business forecasting is a. To give a measure for uncertainty and reduce uncertainty b. To reduce wastages c. To reduce labour effort
- 32. d. To increaseefficiency of production iv. What is a prediction a. Estimate based on projection b. Estimate based on assumptions c. Estimates based on Mathematical theories d. Estimates based on past data 74. i. The export and import statistics of leather and leather related goods acts as a barometer for a. General Business activities b. Specific Business activities c. Specific individual d. Specific firm only ii. Health statistics published by Government of India acts as a barometer for a. Local people b. Some states c. Planning health-care activities by Government d. Planning health by Doctors iii. Business barometer is a a. Tool for measuring booms in business
- 33. b. Tool formeasuring depressions in business c. Scientific and reliable tool for making decisions d. Tool for controlling unnecessary expenses iv. Extrapolation method of business forecasting assumes a. Constant growth in Arithmetic trend b. Constant growth in semi-log trend c. Constant % increase in Arithmetic trend d. Different rate of growth in Arithmetic trend 75. Mr.Ekabaram, the engineer of the firm, feels that the best fit for the following production data will be a second degree equation, Viz Y = a+bx+cx2 the data is Year 2003 2004 2005 2006 2007 No. of workers 25 28 33 39 45 i. The value of b is a. 6.1 b. 5.1 c. 5.5 d. 6.5 ii. The value of x2 is a. 55 b. 60
- 34. c. 65 d. 70 iii.The value of C is a. 0.7 b. 0.6 c. 0.5 d. 0.4 iv. The final equation is a. Y = 33 + 5.1x + 0.5x2 b. Y = 32 + 0.5x + 5.1x2 c. Y = 33 + 0.56x + 4.8x2 d. Y = 34 + 0.56x + 4.8x2