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MCQOPTIONS
This section includes 58 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. |
The mode of set of 20 observations is 18 and the skewness of observations around central value is 5 then the calculated value of arithmetic mean of observations is |
| A. | 23 |
| B. | 7 |
| C. | 13 |
| D. | 43 |
| Answer» B. 7 | |
| 2. |
Considering the mean, mode and skewness of data, the value of skewness will be negative if |
| A. | mean>mode |
| B. | mean<mode |
| C. | mean<median |
| D. | mean>median |
| Answer» C. mean<median | |
| 3. |
The first quartile of data set is 12, third quartile of data set is 18 and median is 9 then the absolute skewness of the same data set is |
| A. | 18 |
| B. | 12 |
| C. | 9 |
| D. | 15 |
| Answer» C. 9 | |
| 4. |
In kurtosis, the frequency curve that has flatten top than normal curve of bell shaped distribution is classified as |
| A. | leptokurtic |
| B. | platykurtic |
| C. | mega curve |
| D. | mesokurtic |
| Answer» C. mega curve | |
| 5. |
The distribution whose mode is not well defined and the classes of distribution are open ended uses the coefficient of skewness by |
| A. | Karl Pearson |
| B. | Professor Kelly |
| C. | Professor Keller |
| D. | Professor Bowley |
| Answer» E. | |
| 6. |
The 90th percentile is 60, 50th percentile is 30 and 10th percentile is 40 then the coefficient of skewness is |
| A. | ±30 |
| B. | ±2 |
| C. | ±8 |
| D. | ±4 |
| Answer» C. ±8 | |
| 7. |
Considering the mean, mode and skewness of data, the value of skewness will be positive if |
| A. | mean<median |
| B. | mean>median |
| C. | mean>mode |
| D. | mean<mode |
| Answer» E. | |
| 8. |
If the values of skewness and arithmetic mean is given as 4 and 17 respectively then mode of the values is |
| A. | 68 |
| B. | 4.25 |
| C. | 21 |
| D. | 13 |
| Answer» E. | |
| 9. |
Considering the moments in standard units, the fourth alpha with power 1 is equivalent to |
| A. | beta three |
| B. | beta four |
| C. | beta one |
| D. | beta two |
| Answer» E. | |
| 10. |
The method of calculating coefficient of skewness by Karl Pearson method is useful for the type of distributions that are |
| A. | non concentrated |
| B. | open ended |
| C. | close ended |
| D. | concentrated |
| Answer» C. close ended | |
| 11. |
The kurtosis defines the peakness of the curve in the region which is |
| A. | around the mode |
| B. | around the mean |
| C. | around the median |
| D. | around the variance |
| Answer» B. around the mean | |
| 12. |
In kurtosis, the beta is greater than three and quartile range is preferred for |
| A. | mesokurtic distribution |
| B. | mega curve distribution |
| C. | leptokurtic distribution |
| D. | platykurtic distribution |
| Answer» E. | |
| 13. |
In kurtosis, the beta is less than three and median is preferred as central tendency for |
| A. | leptokurtic distribution |
| B. | platykurtic distribution |
| C. | mesokurtic distribution |
| D. | mega curve distribution |
| Answer» B. platykurtic distribution | |
| 14. |
In measures of skewness, the absolute skewness is equal to |
| A. | mean+mode |
| B. | mean-mode |
| C. | mean+median |
| D. | mean-median |
| Answer» C. mean+median | |
| 15. |
The distribution is considered leptokurtic if |
| A. | beta three is less than three |
| B. | beta two is greater than two |
| C. | beta three is greater than three |
| D. | beta two is greater than three |
| Answer» E. | |
| 16. |
For the Karl Pearson's skewness coefficient the value of skewness must be in limits |
| A. | ±3 |
| B. | ±5 |
| C. | ±4 |
| D. | ±2 |
| Answer» B. ±5 | |
| 17. |
For the ungrouped data in calculation of moments from mean, the formula to calculate this measure is |
| A. | 1⁄n Σ(x-mean)r |
| B. | 2⁄n Σ(x-mean)r |
| C. | 2⁄n Σ(x+mean)r |
| D. | 2⁄n Σ(x+mean)x |
| Answer» B. 2⁄n Σ(x-mean)r | |
| 18. |
The moment about mean which is considered as measure of dispersion and is equivalent to variance is called |
| A. | eighth moment |
| B. | fifth moment |
| C. | first moment |
| D. | second moment |
| Answer» E. | |
| 19. |
The degree or extent to which the frequency of the observations in data set are concentrated in given frequency distribution is classified as |
| A. | alpha system |
| B. | gamma system |
| C. | beta system |
| D. | kurtosis |
| Answer» E. | |
| 20. |
In a symmetrical distribution, the third quartile and first quartile of data in distribution must |
| A. | be at equal distance |
| B. | not be at equal distance |
| C. | positive value concentration |
| D. | negative value concentration |
| Answer» B. not be at equal distance | |
| 21. |
The three times of difference between mean and median is divided by standard deviation to calculate coefficient of skewness by method of |
| A. | Professor Keller |
| B. | Professor Bowley |
| C. | Karl Pearson |
| D. | Professor Kelly |
| Answer» D. Professor Kelly | |
| 22. |
If the median is 12, mean is 15 and the standard deviation of data is 3 then Karl Pearson's coefficient of skewness is |
| A. | 17 |
| B. | 27 |
| C. | 15 |
| D. | 3 |
| Answer» E. | |
| 23. |
The moment about mean which is indication whether distribution is symmetrical or asymmetrical is considered as |
| A. | first moment |
| B. | third moment |
| C. | second moment |
| D. | fourth moment |
| Answer» C. second moment | |
| 24. |
The formula of calculating moment about means for the origin or zero is |
| A. | 1⁄n Σfxr |
| B. | 3⁄4 Σfxn |
| C. | 5⁄7 Σfxr |
| D. | 2⁄10 Σfxr |
| Answer» B. 3⁄4 Σfxn | |
| 25. |
The method of calculating skewness which is based on the positions of quartiles and median in a distribution is called |
| A. | Gary's coefficient of skewness |
| B. | Sharma's coefficient of skewness |
| C. | Bowley's coefficient of skewness |
| D. | Jack Karl's coefficient of skewness |
| Answer» D. Jack Karl's coefficient of skewness | |
| 26. |
The convenient summarizing method which is used to describe the population characteristics rather than explaining samples of that population is classified as |
| A. | unstable moments |
| B. | stable moments |
| C. | lower moments |
| D. | higher moments |
| Answer» E. | |
| 27. |
The moment about population mean which is expressed in standard units is denoted by |
| A. | Latin letter beta |
| B. | Greek letter gamma |
| C. | Greek letter alpha |
| D. | Greek letter beta |
| Answer» D. Greek letter beta | |
| 28. |
In kurtosis, the frequency curve which is also classified as normal curve is called |
| A. | mega curve |
| B. | mesokurtic |
| C. | leptokurtic |
| D. | platykurtic |
| Answer» C. leptokurtic | |
| 29. |
The median of a moderately skewed distribution is 8, third quartile is 12, first quartile is 8 and inter-quartile range is 4 then relative coefficient of skewness is |
| A. | ±8 |
| B. | ±1 |
| C. | ±9 |
| D. | ±11 |
| Answer» C. ±9 | |
| 30. |
As compared to measures of variation, the measure of skewness is used to understand concentration of |
| A. | values around mean |
| B. | upper tail only |
| C. | lower tail only |
| D. | median coefficients |
| Answer» B. upper tail only | |
| 31. |
In moments, the alphas whose values depends on shape of frequency curve are |
| A. | alpha one and two |
| B. | alpha one and two |
| C. | alpha three and four |
| D. | alpha one and four |
| Answer» D. alpha one and four | |
| 32. |
If the median is 18, coefficient of skewness is 6 and the mean is 30 then standard deviation of data is |
| A. | 6 |
| B. | 18 |
| C. | 30 |
| D. | 36 |
| Answer» B. 18 | |
| 33. |
The coefficient of skewness by Karl Pearson, Professor Kelly and professor Bowley are considered as |
| A. | relative measure of skewness |
| B. | absolute measure of skewness |
| C. | concentrated measure of skewness |
| D. | directed measure of skewness |
| Answer» B. absolute measure of skewness | |
| 34. |
If all the values move towards one tail of a distribution then this scenario results in |
| A. | width of distribution |
| B. | height of distribution |
| C. | lengthening the tail |
| D. | shortening the tail |
| Answer» D. shortening the tail | |
| 35. |
Considering the moments in standard units, the third alpha with power 2 is equivalent to |
| A. | beta one |
| B. | beta two |
| C. | beta three |
| D. | beta four |
| Answer» B. beta two | |
| 36. |
The coefficient of skewness method in which the basis of measuring is deciles and percentiles is classified as |
| A. | Gary's coefficient of skewness |
| B. | Sharma's coefficient of skewness |
| C. | Kelly's coefficient of skewness |
| D. | Jack Karl's coefficient of skewness |
| Answer» D. Jack Karl's coefficient of skewness | |
| 37. |
If the first quartile and third quartile are as 20 and 18 respectively with the median of 12 then distribution is skewed to |
| A. | close end tail |
| B. | open end tail |
| C. | lower tail |
| D. | upper tail |
| Answer» E. | |
| 38. |
The measures whose calculated values represents only some proportion of frequency distribution are classified as |
| A. | measures of deciles systems |
| B. | measures of momentum system |
| C. | measures of percentile system |
| D. | measures of moment system |
| Answer» D. measures of moment system | |
| 39. |
The unifying method to summarize the statistical measure of descriptive nature is called |
| A. | unifying momentum |
| B. | momentum summary |
| C. | moments |
| D. | momentum |
| Answer» D. momentum | |
| 40. |
The moment about mean which is indication of flatness of frequency curve is classified as |
| A. | third moment |
| B. | second moment |
| C. | first moment |
| D. | fourth moment |
| Answer» E. | |
| 41. |
According to notations used by R.A. Fisher, the value of beta one with square root is equivalent to |
| A. | gamma four |
| B. | gamma one |
| C. | gamma two |
| D. | gamma three |
| Answer» C. gamma two | |
| 42. |
For the grouped data in calculation of moments from mean, the formula to calculate this measure is |
| A. | 2⁄n Σn(x+mean)r |
| B. | 2⁄n Σn(x+mean)x |
| C. | 1⁄n Σf(x-mean)r |
| D. | 2⁄n Σf(x-mean)r |
| Answer» D. 2⁄n Σf(x-mean)r | |
| 43. |
The percentile and moment system are two groups of |
| A. | skewness measures |
| B. | central tendencies measures |
| C. | quartile measures |
| D. | percentile measures |
| Answer» C. quartile measures | |
| 44. |
The frequency distribution is considered as negatively skewed if all the values of distribution moves to |
| A. | lower tail |
| B. | median tail |
| C. | variance tail |
| D. | upper tail |
| Answer» B. median tail | |
| 45. |
If for a distribution the difference of first quartile and median is less than difference of median and third quartile then the distribution is classified as |
| A. | negatively skewed |
| B. | not skewed at all |
| C. | absolute open ended |
| D. | positively skewed |
| Answer» B. not skewed at all | |
| 46. |
According to beta, the platykurtic distribution is one in which the |
| A. | beta three is greater than three |
| B. | beta two is greater than three |
| C. | beta three is less than three |
| D. | beta two is greater than two |
| Answer» D. beta two is greater than two | |
| 47. |
The frequency distribution is considered as positively skewed if all the values of distribution moves to |
| A. | variance tail |
| B. | upper tail |
| C. | lower tail |
| D. | median tail |
| Answer» C. lower tail | |
| 48. |
Consider a set of observations whose mean is 14 and the mode of the same set of observations is 12 then the values of skewness around central value are |
| A. | 2 |
| B. | 26 |
| C. | 1.667 |
| D. | 168 |
| Answer» B. 26 | |
| 49. |
Considering the alpha and beta in moments, the measure of asymmetrical distribution is possible with |
| A. | alpha three and beta one |
| B. | alpha two and beta one |
| C. | alpha three and beta four |
| D. | alpha three and beta two |
| Answer» B. alpha two and beta one | |
| 50. |
The statistical measures such as deciles, percentiles, median and quartiles are classified as part of |
| A. | percentile system |
| B. | quartile system |
| C. | deciles system |
| D. | moment system |
| Answer» B. quartile system | |