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This section includes 154 Mcqs, each offering curated multiple-choice questions to sharpen your Statistics Mcqs knowledge and support exam preparation. Choose a topic below to get started.
| 1. |
In a week the prices of a bag of rice were 350 ,280, 340, 290, 320, 310, 300. The range is_____________? |
| A. | 60 |
| B. | 90 |
| C. | 70 |
| D. | 100 |
| Answer» D. 100 | |
| 2. |
A numerical value calculated from sample is called____________? |
| A. | Mathematics |
| B. | Economics |
| C. | Statistic |
| D. | None of these |
| Answer» D. None of these | |
| 3. |
If any of the value in data set is zero then it is not possible (i.e. impossiblE. to compute_______________? |
| A. | Mode |
| B. | Median |
| C. | Mean |
| D. | Harmonic Mean |
| E. | Geometric Mean |
| Answer» E. Geometric Mean | |
| 4. |
Which of the following Measure of averages is affected by extreme (very small or very largE. values in data set? |
| A. | Geometric Mean |
| B. | Median |
| C. | Arithmetic Mean |
| D. | Harmonic Mean |
| E. | Mode |
| Answer» D. Harmonic Mean | |
| 5. |
Population census is conducted through_______________? |
| A. | Sample survey |
| B. | Accounting |
| C. | Investigation |
| D. | Complete enumeration |
| Answer» E. | |
| 6. |
The standard deviation is always _________ than mean deviation? |
| A. | Greater |
| B. | Less |
| C. | Equal |
| D. | None |
| Answer» B. Less | |
| 7. |
The mean of 10 numbers is 9, then sum of these numbers will be__________________? |
| A. | 9 |
| B. | 0.9 |
| C. | 70 |
| D. | 90 |
| Answer» E. | |
| 8. |
If x is 4 and the distribution is 2, 3, 4, 5, 6, the sum of squared deviations from the x will be______________? |
| A. | 8 |
| B. | 10 |
| C. | 6 |
| D. | 12 |
| Answer» C. 6 | |
| 9. |
The Harmonic Mean of any two numbers is________________? |
| A. | a+b2 |
| B. | 2aba+b |
| C. | ab−−√ |
| D. | a+b |
| Answer» C. ab−−√ | |
| 10. |
A contractor employs 20 male, 15 female and 5 children in his factory. Male wages are Rs. 10 per day, female Rs. 8 per day, and children Rs. 3 per day. The weighted x of wages paid per day will be_____________? |
| A. | 3.86 |
| B. | 8.37 |
| C. | 9.21 |
| D. | 10.63 |
| Answer» C. 9.21 | |
| 11. |
If a distribution has two modes then this distribution is called______________? |
| A. | Uni-Modal |
| B. | Bi-Modal |
| C. | Tri-Modal |
| D. | Multi-Modal |
| Answer» C. Tri-Modal | |
| 12. |
The mean of a constant “b” is_________________? |
| A. | Zero |
| B. | b |
| C. | None |
| Answer» C. None | |
| 13. |
The average of first n natural numbers is_______________? |
| A. | n+12 |
| B. | n2 |
| C. | All of the above |
| D. | None of these |
| Answer» B. n2 | |
| 14. |
The sum of squared deviation is least from_________________? |
| A. | Median |
| B. | Mean |
| C. | Mode |
| D. | Standard Deviation |
| Answer» C. Mode | |
| 15. |
Sum of deviations will be zero if it is taken from_________________? |
| A. | Mean |
| B. | Mode |
| C. | Median |
| D. | Standard Deviation |
| Answer» B. Mode | |
| 16. |
If Y=−8X − 5 and SD of X is 3, then SD of Y is _______________? |
| A. | 8 |
| B. | 3 |
| C. | 5 |
| D. | 24 |
| E. | None |
| Answer» E. None | |
| 17. |
For a certain distribution if ∑(x−2)=18,∑(x−24)=0,∑(x−28)=−24) then arithmetic mean is_______________? |
| A. | 21 |
| B. | 24 |
| C. | 28 |
| D. | 0 |
| Answer» C. 28 | |
| 18. |
Quartile Coefficient of skewness lies between______________? |
| A. | 0 and 1 |
| B. | -1 and +1 |
| C. | -1 and 0 |
| D. | None of these |
| Answer» C. -1 and 0 | |
| 19. |
Arithmetic mean of two positive numbers “X” and “Y” is_________________? |
| A. | ab2 |
| B. | 2a2 |
| C. | (a+b)/2 |
| D. | a−b2 |
| E. | 2a+b |
| Answer» D. a−b2 | |
| 20. |
The variance of 5 numbers is 10. If each number is divided by 2, then the variance of new numbers is______________? |
| A. | 20 |
| B. | 5 |
| C. | 2.5 |
| D. | 5.5 |
| E. | 0 |
| Answer» D. 5.5 | |
| 21. |
The variance of a constant is_______________? |
| A. | Zero |
| B. | Constant |
| C. | a |
| D. | None |
| Answer» B. Constant | |
| 22. |
For a symmetrical distribution approximately 68% of the cases are included between _________________? |
| A. | X¯¯¯¯−S and X¯¯¯¯+S |
| B. | X¯¯¯¯−2S and X¯¯¯¯+2S |
| C. | X¯¯¯¯−3S and X¯¯¯¯+3S |
| D. | None of these |
| Answer» B. X¯¯¯¯−2S and X¯¯¯¯+2S | |
| 23. |
____________ is used to criterion of consistency i.e for consistence performance? |
| A. | Range |
| B. | Standard Deviation |
| C. | Coefficient of Variation |
| D. | Mean Deviation |
| Answer» D. Mean Deviation | |
| 24. |
If the third moment about mean is zero then distribution is_______________? |
| A. | Mesokurtic |
| B. | Positively Skewed |
| C. | Symmetrical |
| D. | Negatively Skewed |
| Answer» D. Negatively Skewed | |
| 25. |
Var(2X+3) is________________? |
| A. | 5 Var(X) |
| B. | 4 Var(X) |
| C. | 4 Var(X)+3 |
| D. | 5 Var(X)+3 |
| Answer» C. 4 Var(X)+3 | |
| 26. |
The degree of peakedness is called__________________? |
| A. | Dispersion |
| B. | Skewness |
| C. | Symmetry |
| D. | Kurtosis |
| Answer» E. | |
| 27. |
Suppose for 40 observations, the variance is 50. If all the observations are increased by 20, the variance of these increased observation will be______________? |
| A. | 50 |
| B. | 70 |
| C. | 50/20 |
| D. | 50-20 = 30 |
| E. | 60 |
| Answer» B. 70 | |
| 28. |
_____________is the measure of average which can have more than one value? |
| A. | Mean |
| B. | Median |
| C. | Harmonic Mean |
| D. | Mode |
| E. | Geometric Mean |
| Answer» E. Geometric Mean | |
| 29. |
Which of the following cannot be less than zero (negative)? |
| A. | Median |
| B. | Geometric Mean |
| C. | Arithmetic Mean |
| D. | Harmonic Mean |
| E. | Mode |
| Answer» C. Arithmetic Mean | |
| 30. |
In a frequency distribution the last cumulative frequency is 500. Q3 must lie in_____________? |
| A. | 275th item |
| B. | 375th item |
| C. | 150th item |
| D. | 175th item |
| Answer» C. 150th item | |
| 31. |
Data must be arranged either in ascending or descending order, if some wants to compute____________? |
| A. | Mode |
| B. | Median |
| C. | Harmonic Mean |
| D. | Geometric Mean |
| E. | Median |
| Answer» F. | |
| 32. |
Which of the following Measure of Averages is not based on all the values given in the data set? |
| A. | Arithmetic Mean |
| B. | Geometric Mean |
| C. | Median |
| D. | Mode |
| E. | Both C. and D. |
| Answer» F. | |
| 33. |
2nd Quartile = 5th Decile = 50th Percentile = ? |
| A. | Mode |
| B. | Median |
| C. | Mean |
| D. | Geometric Mean |
| E. | Harmonic Mean |
| Answer» C. Mean | |
| 34. |
Find the median of the following datA. 160, 180, 200, 280, 300, 320, 400? |
| A. | 140 |
| B. | 300 |
| C. | 180 |
| D. | 280 |
| Answer» E. | |
| 35. |
The average monthly production of a factory for the first 8 months is 2,500 units, and for the next 4 months the production was 1,200 units. The average monthly production of the year will be_____________? |
| A. | 2066.55 units |
| B. | 5031.10 units |
| C. | 4021.12 units |
| D. | 3012.11 units |
| Answer» B. 5031.10 units | |
| 36. |
Given the N values in a series, the geometric mean is______________? |
| A. | The third root of the product of N values |
| B. | The square root of the product of N values |
| C. | The fourth root of the product of N values |
| D. | The Nth root of the product of N values |
| Answer» E. | |
| 37. |
In a frequency distribution the last cumulative frequency is 300, Median shall lie in____________? |
| A. | 140th item |
| B. | 130th item |
| C. | 160th item |
| D. | 150th item |
| Answer» E. | |
| 38. |
In statistics, a sample means__________? |
| A. | A portion of the sample |
| B. | A portion of the population |
| C. | All the items under investigation |
| D. | None of the above |
| Answer» C. All the items under investigation | |
| 39. |
The Geometric Mean of -2, 4, 03, 6, 0 will be______________? |
| A. | -3 |
| B. | 0 |
| C. | 3 |
| D. | Cannot be Computed |
| E. | None of these |
| Answer» E. None of these | |
| 40. |
The calculation of mean and variance is based on______________? |
| A. | Small values only |
| B. | Large values only |
| C. | Extreme values only |
| D. | All values |
| Answer» E. | |
| 41. |
If β2=m4m22<3, the distribution is called______________? |
| A. | Normal |
| B. | Mesokurtic |
| C. | Leptokurtic |
| D. | Platykurtic |
| Answer» E. | |
| 42. |
Geometric means of X1 and X2 is________________? |
| A. | X1+X2 |
| B. | X1+X2x |
| C. | X1+X2−−−−−−−√ |
| D. | X1×X2−−−−−−−√ |
| E. | X1−−−√+X2−−−√ |
| Answer» E. X1−−−√+X2−−−√ | |
| 43. |
If 10% is added to each value of variable, the geometric mean of new variable is added by_______________? |
| A. | 5% |
| B. | 10% |
| C. | No Change |
| D. | 110% |
| E. | 90% |
| Answer» C. No Change | |
| 44. |
Statistics are ___________ expressed? |
| A. | Descriptive |
| B. | Ability |
| C. | Qualitatively |
| D. | Quantitatively |
| Answer» E. | |
| 45. |
Questionnaire survey method is used to collect____________? |
| A. | Secondary data |
| B. | Qualitative variable |
| C. | Primary data |
| D. | None of these |
| Answer» D. None of these | |
| 46. |
Statistics has handicap dealing with_____________? |
| A. | Constant |
| B. | Variable |
| C. | Quantitative data |
| D. | Qualitative data |
| Answer» E. | |
| 47. |
The Number of road accidents is the example of____________? |
| A. | variable |
| B. | Constant |
| C. | Discrete variable |
| D. | Continuous variable |
| Answer» D. Continuous variable | |
| 48. |
Census reports used as a source of data is____________? |
| A. | Primary source |
| B. | secondary source |
| C. | Organized data |
| D. | none |
| Answer» C. Organized data | |
| 49. |
Which of the measures given here are based on every item of the series (uses all observations)? |
| A. | Range |
| B. | Standard Deviation |
| C. | Quartile Deviation |
| D. | All of them |
| Answer» C. Quartile Deviation | |
| 50. |
Major area of statistics today is concerned with drawing of conclusions from__________? |
| A. | Samples |
| B. | Primary |
| C. | Two |
| D. | Complete study |
| Answer» B. Primary | |