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MCQOPTIONS
This section includes 97 Mcqs, each offering curated multiple-choice questions to sharpen your Business Statistics knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
One of the advantages of using quartile deviation is to use it for |
| A. | open end class interval |
| B. | close end class interval |
| C. | open end class width |
| D. | close end class width |
| Answer» B. close end class interval | |
| 2. |
According to empirical rule, the standard deviation and mean interval that covers approximately 68.27% of data from a frequency distribution is |
| A. | μ±σ |
| B. | 2μ±2σ |
| C. | 3μ±2σ |
| D. | 4μ±4σ |
| Answer» B. 2μ±2σ | |
| 3. |
The inter quartile range and the coefficients of range are two categories of |
| A. | average deviation measures |
| B. | availability measures |
| C. | average measures |
| D. | distance measures |
| Answer» E. | |
| 4. |
The numbers or values that are considered independent of measurement units are called |
| A. | coefficient |
| B. | uniformity |
| C. | variation |
| D. | exploration |
| Answer» B. uniformity | |
| 5. |
The total revenue (in crores) of five leather goods companies are as two companies have revenues between 10-20, one company has revenue between 20-30 and one company has revenue between 30-40 then the standard deviation is |
| A. | 7.9 |
| B. | 4.9 |
| C. | 5.9 |
| D. | 6.9 |
| Answer» C. 5.9 | |
| 6. |
The measure of variation which is useful in large deviations occurrences on occasional basis is considered as |
| A. | mean absolute deviation |
| B. | standard deviation |
| C. | variance |
| D. | median deviation |
| Answer» B. standard deviation | |
| 7. |
Considering the sample rather than population, the standard deviation is thus denoted by |
| A. | small s |
| B. | capital s |
| C. | Ω |
| D. | σ |
| Answer» B. capital s | |
| 8. |
The total order processed at courier office for five days are as 10, 6, 8, 7, 9 then total sum of squares is |
| A. | 12 |
| B. | 40 |
| C. | 10 |
| D. | 8 |
| Answer» D. 8 | |
| 9. |
The letter used to denote variance of population is |
| A. | 2σ² |
| B. | 2Σxy |
| C. | 2Σ² |
| D. | σ² |
| Answer» E. | |
| 10. |
The measurement of inequality in wealth and income distribution is measured with the help of |
| A. | measurement of bimodaling |
| B. | measurement of outliers |
| C. | measurement of uniformity |
| D. | measurement of variability |
| Answer» E. | |
| 11. |
The number of emergency cases in hospital for five days are as 12, 15, 18, 16, 14 then variance of sample is |
| A. | 5 |
| B. | 20 |
| C. | 4 |
| D. | 15 |
| Answer» B. 20 | |
| 12. |
The value of first quartile is 23 and the inter quartile range is 20 then the value of third quartile is |
| A. | 63 |
| B. | 53 |
| C. | 43 |
| D. | 73 |
| Answer» D. 73 | |
| 13. |
According to empirical rule, the mean and standard deviation interval that covers approximately 95.45% of data from a frequency distribution is |
| A. | μ±σ |
| B. | 2μ±2σ |
| C. | 3μ±2σ |
| D. | μ±2σ |
| Answer» E. | |
| 14. |
If the scatter or dispersion in the distribution is high on each side then this indicates |
| A. | outliers of data |
| B. | low uniformity of data |
| C. | high uniformity of data |
| D. | dispersion of data |
| Answer» C. high uniformity of data | |
| 15. |
The technique used in measures of variations to show the direction of variation in set of observations is classified as |
| A. | measures of dispersion |
| B. | measures of statistics |
| C. | measures of skewness |
| D. | measures of process |
| Answer» D. measures of process | |
| 16. |
The standard deviation of first 50 natural numbers is |
| A. | 45.43 |
| B. | 14.43 |
| C. | 20.43 |
| D. | 16.43 |
| Answer» C. 20.43 | |
| 17. |
The sum of observations is 12 and coefficient of absolute mean deviation is 18 then value of mean absolute deviation is |
| A. | 516 |
| B. | 716 |
| C. | 216 |
| D. | 616 |
| Answer» D. 616 | |
| 18. |
The examples of applications of range in real world includes |
| A. | weather forecasts |
| B. | quality control |
| C. | fluctuation in share prices |
| D. | all of above |
| Answer» E. | |
| 19. |
In the formula of sample variance the Σ(x-x̅)² is called |
| A. | total sum of squares |
| B. | total differences of squares |
| C. | multiplier of deviation |
| D. | divisor of mean deviation |
| Answer» B. total differences of squares | |
| 20. |
The sum of squared deviation of sample mean is 48 and total number of observation is 13 then the population variance is |
| A. | 61 |
| B. | 48 |
| C. | 13 |
| D. | 4 |
| Answer» E. | |
| 21. |
Considering the set of values, the percentage of values that lies within three standard deviation of population plus population mean is |
| A. | 88.90% |
| B. | 78.90% |
| C. | 68.90% |
| D. | 98.90% |
| Answer» B. 78.90% | |
| 22. |
The quartile deviation for number of X-ray patients who visits orthopedic in 7 consecutive days is 14 then mean absolute deviation is |
| A. | 18.8 |
| B. | 15.8 |
| C. | 10.8 |
| D. | 16.8 |
| Answer» E. | |
| 23. |
The output of 15 workers in hand made leather shoes company is as 50, 65, 70, 55, 62, 74, 75, 65, 70, 78, 79, 80, 68, 72, 67 then the range is |
| A. | 30 |
| B. | 80 |
| C. | 75 |
| D. | 79 |
| Answer» B. 80 | |
| 24. |
The price of gasoline for three days are as 98, 96, 97, 100 then the value of standard deviation with the assumed mean method is |
| A. | 15 |
| B. | 10 |
| C. | 1 |
| D. | 11 |
| Answer» D. 11 | |
| 25. |
The shape of frequency distribution constructed in consideration of empirical rule is classified as |
| A. | bell shaped |
| B. | tower shape |
| C. | wing shape |
| D. | fish shape |
| Answer» B. tower shape | |
| 26. |
For a given set of number of customers who visit a shoes shop in 5 consecutive days, the mean absolute deviation is 10 then standard deviation of data set is |
| A. | 2 |
| B. | 10 |
| C. | 12.5 |
| D. | 50 |
| Answer» D. 50 | |
| 27. |
The mean absolute deviation which is used as relative measure is called |
| A. | coefficient of quartile range deviation |
| B. | coefficient of mean absolute deviation |
| C. | coefficient of mean deviation |
| D. | coefficient of absolute quartile deviation |
| Answer» C. coefficient of mean deviation | |
| 28. |
In statistics, the distance or dispersion from the central value is classified as |
| A. | standard variance |
| B. | sample variance |
| C. | standard root |
| D. | standard deviation |
| Answer» E. | |
| 29. |
The standard deviation of population is denoted by |
| A. | Ω |
| B. | ω |
| C. | σ |
| D. | Σ |
| Answer» D. Σ | |
| 30. |
If the arithmetic mean is considered as average of deviations then resultant measure is considered as |
| A. | close end deviation |
| B. | mean absolute deviation |
| C. | mean deviation |
| D. | variance deviation |
| Answer» C. mean deviation | |
| 31. |
In a set of observations, the amount of variation can be shown in the form of figures with the help of |
| A. | absolute measures |
| B. | uniform measures |
| C. | non-uniform measures |
| D. | exploratory measures |
| Answer» B. uniform measures | |
| 32. |
If the set of observations is 11, 13, 15, 12, 16, 18, 19, 14, 20, 17 and absolute mean deviation is 12 then the percentage of coefficient of mean absolute deviation is |
| A. | 47.41% |
| B. | 57.41% |
| C. | 67.41% |
| D. | 77.41% |
| Answer» E. | |
| 33. |
The variability which is defined as the difference between third and first quartile is considered as |
| A. | quartile range |
| B. | deciles range |
| C. | percentile range |
| D. | inter quartile range |
| Answer» E. | |
| 34. |
If total sum of square is 20 and the sample variance is 5 then total number of observations are |
| A. | 15 |
| B. | 25 |
| C. | 4 |
| D. | 35 |
| Answer» D. 35 | |
| 35. |
If the value of first quartile is 49 and the value of third quartile is 60 then value of inter quartile range is |
| A. | 21 |
| B. | 31 |
| C. | 11 |
| D. | 41 |
| Answer» D. 41 | |
| 36. |
The mean absolute deviation is 5 and the arithmetic mean is 110 then coefficient of mean absolute deviation is |
| A. | 1.054 |
| B. | 0.045 |
| C. | 0.054 |
| D. | 0.064 |
| Answer» C. 0.054 | |
| 37. |
In terms of dispersion difference, the measurement of dispersion for available data is classified as |
| A. | average measures |
| B. | distance measures |
| C. | average deviation measures |
| D. | availability measures |
| Answer» C. average deviation measures | |
| 38. |
The mean absolute deviation is divided by coefficient of mean absolute deviation to calculate |
| A. | variance |
| B. | median |
| C. | arithmetic mean |
| D. | coefficient of variation |
| Answer» D. coefficient of variation | |
| 39. |
Considering the standard deviation, the mean absolute deviation is equal to |
| A. | 5⁄4σ |
| B. | 5⁄8σ |
| C. | 4⁄5σ |
| D. | 7⁄8σ |
| Answer» D. 7⁄8σ | |
| 40. |
Considering the sales, the coefficient of variation for product X is 9.3% and the coefficient of variation for product Y is 8.9% then sales fluctuation of |
| A. | product X is higher |
| B. | product Y is higher |
| C. | product X is lower |
| D. | product X and Y is lower |
| Answer» B. product Y is higher | |
| 41. |
If the quartile deviation of given set of data of 20 observations is 12 then value of the standard deviation is |
| A. | 1.667 |
| B. | 18 |
| C. | 8 |
| D. | 32 |
| Answer» C. 8 | |
| 42. |
The relative measures in measures of dispersion are also considered as |
| A. | coefficient of deviation |
| B. | coefficient of average |
| C. | coefficient of variation |
| D. | coefficient of uniformity |
| Answer» D. coefficient of uniformity | |
| 43. |
The high uniformity of 50% observations around the median value is indicated with the help of |
| A. | larger value of quartile deviation |
| B. | smaller value of quartile deviation |
| C. | larger value of range deviation |
| D. | smaller value of range deviation |
| Answer» C. larger value of range deviation | |
| 44. |
The standard deviation is divided by the coefficient of variation to calculate |
| A. | arithmetic mean |
| B. | coefficient of arithmetic |
| C. | coefficient of variance |
| D. | multiplier of deviation |
| Answer» B. coefficient of arithmetic | |
| 45. |
If the standard deviation is 7 then mean absolute deviation is |
| A. | 9.75 |
| B. | 5.6 |
| C. | 7 |
| D. | 8.75 |
| Answer» C. 7 | |
| 46. |
If the arithmetic mean is 78 and coefficient of variation is 12.3% then the standard deviation is |
| A. | 10.594 |
| B. | 9.594 |
| C. | 8.59 |
| D. | 11 |
| Answer» C. 8.59 | |
| 47. |
In manufacturing company, the number of employees in unit A is 40, the mean is USD $6400 and the number of employees in unit B is 30 with the mean of Rs. 5500 then the combined arithmetic mean is |
| A. | 9500 |
| B. | 8000 |
| C. | 7014.29 |
| D. | 6014.29 |
| Answer» E. | |
| 48. |
Considering the standard deviation, the quartile deviation is equal to |
| A. | 3⁄2 σ |
| B. | 2⁄3 σ |
| C. | 2μ⁄3 σ |
| D. | 4μ⁄3 σ |
| Answer» C. 2μ⁄3 σ | |
| 49. |
In terms of mean absolute deviation, the quartile deviation is equal to |
| A. | 5⁄6 M.A.D |
| B. | 6⁄5 M.A.D |
| C. | 4⁄5 M.A.D |
| D. | 2⁄3 M.A.D |
| Answer» B. 6⁄5 M.A.D | |
| 50. |
In the classes of grouped data such as 10-15, 16-20, 21-25, 26-30 with respective frequencies of each class as 3, 5, 4, 3 then the range is |
| A. | 5 |
| B. | 6 |
| C. | 15 |
| D. | 20 |
| Answer» C. 15 | |