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This section includes 49 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. |
The variance of 4,4,4,4,4,4 is _______________? |
| A. | 4 |
| B. | (4)2 |
| C. | 8 |
| D. | None of these |
| Answer» E. | |
| 2. |
suppose for 40 observation, the variance is 50. If all the observation are increased by 20, the variance of these increased observation will be_________? |
| A. | 50 |
| B. | 70 |
| C. | 50/20 |
| D. | 50-20=30 |
| Answer» B. 70 | |
| 3. |
The mean deviation of the values, 18, 12, 15, is_______________? |
| A. | 6 |
| B. | Zero |
| C. | 3 |
| D. | 2 |
| Answer» E. | |
| 4. |
If the standard deviation of the values 2,4,6,8 is 2.33, then the standard deviation of the values 4,6,8,10 is_____________? |
| A. | 0 |
| B. | 2.58 |
| C. | 4.66 |
| D. | 2.33 |
| Answer» C. 4.66 | |
| 5. |
Mean deviation, Variance and Standard Deviation of the values 4,4,4,4,4,4 is_______________? |
| A. | 4 |
| B. | 8 |
| C. | 2 |
| D. | 0 |
| Answer» E. | |
| 6. |
The variance of 5 numbers is 10. If each number is divided by 2, then variance of new number is_____________? |
| A. | 20 |
| B. | 0 |
| C. | 2.5 |
| D. | 0 |
| Answer» D. 0 | |
| 7. |
If third moment about mean is equal to zero, then distribution is ______________? |
| A. | Negatively skewed |
| B. | Symmetrical |
| C. | positively skewed |
| D. | None of these |
| Answer» C. positively skewed | |
| 8. |
Lowest value of variance can be____________? |
| A. | 1 |
| B. | -1 |
| C. | 3 |
| D. | 0 |
| Answer» E. | |
| 9. |
Variance remains unchanged by change of_____________? |
| A. | Origin |
| B. | Scale |
| C. | Both |
| D. | None of these |
| Answer» B. Scale | |
| 10. |
If y= bx + c the range of y is ________? |
| A. | Range of P |
| B. | Quartile of X |
| C. | Range of x |
| D. | Zero |
| Answer» C. Range of x | |
| 11. |
which is poor measure of dispersion in open-end distribution ________________? |
| A. | Quartile- deviation |
| B. | Semi-inter quartile range |
| C. | Range |
| D. | None of these |
| Answer» D. None of these | |
| 12. |
If Y=-8X – 5 and SD of X is 3, then SD of Y is______________? |
| A. | 8 |
| B. | 3 |
| C. | 24 |
| D. | None of these |
| Answer» D. None of these | |
| 13. |
The standard deviation is affected by the value of every____________? |
| A. | Relative Dispersion |
| B. | Observation |
| C. | Absolute |
| D. | Items |
| Answer» C. Absolute | |
| 14. |
First movement about mean is always equal to ___________? |
| A. | S.D. |
| B. | 1 |
| C. | Zero |
| D. | None of these |
| Answer» D. None of these | |
| 15. |
If variance iv standard deviation is minimum if the deviation taken from______________? |
| A. | Mode |
| B. | Mean |
| C. | Average |
| D. | G.M. |
| Answer» C. Average | |
| 16. |
________ is the simplest means of dispersion? |
| A. | Standard deviation |
| B. | Variation |
| C. | C.V. |
| D. | Range |
| Answer» E. | |
| 17. |
The measure of relative dispersion is called __________________? |
| A. | Quartile deviation |
| B. | Mean dervation |
| C. | Mean coefficient |
| D. | Coefficient of quartile Deviation |
| Answer» E. | |
| 18. |
Check the consistency used _____________? |
| A. | Coefficient of dispersion |
| B. | Mean coefficient |
| C. | Coefficient of variance |
| D. | Q.D. |
| Answer» D. Q.D. | |
| 19. |
__________ of the distribution which is measured relative to the distribution known as Normal? |
| A. | Skewed |
| B. | Flatness |
| C. | Normal |
| D. | Moment |
| Answer» C. Normal | |
| 20. |
Second moment about mean is always equal to _____________? |
| A. | S.D. |
| B. | C.V. |
| C. | Variance |
| D. | Square |
| Answer» D. Square | |
| 21. |
If y= ax + b the S.D. of y is _______________? |
| A. | Mean Deviation of x |
| B. | Minimum |
| C. | S.D. of x |
| D. | Maximum |
| Answer» D. Maximum | |
| 22. |
The second moment about mean is _____? |
| A. | Variance |
| B. | Mean |
| C. | S.D. |
| D. | Mode |
| Answer» D. Mode | |
| 23. |
The frequency distribution mean > Median > Mode is called __________? |
| A. | Negatively |
| B. | Symmetrical |
| C. | +vely |
| D. | One |
| Answer» D. One | |
| 24. |
The lack of uniformity is called ______________? |
| A. | Lack |
| B. | variation |
| C. | X= 5 |
| D. | Skewness |
| Answer» E. | |
| 25. |
Quartile deviation is not capable of manipulation______________? |
| A. | Easy |
| B. | mathematically |
| C. | Abjectly |
| D. | Algebraic |
| Answer» E. | |
| 26. |
Standard deviation is always calculated from _____________? |
| A. | Mean |
| B. | Median |
| C. | Mode |
| D. | G.M. |
| Answer» B. Median | |
| 27. |
In symmetrical distribution, the co-efficient of skewness is equal to ______________? |
| A. | -1 |
| B. | +1 |
| C. | 0 |
| D. | None of these |
| Answer» D. None of these | |
| 28. |
The sum of absolute deviations from median is _____? |
| A. | Zero |
| B. | Positive |
| C. | Least |
| D. | None of these |
| Answer» D. None of these | |
| 29. |
If all values are same then the measure of dispersion will be? |
| A. | 1 |
| B. | 0 |
| C. | Mean |
| D. | Mode |
| E. | Median |
| Answer» C. Mean | |
| 30. |
The shape of the symmetrical distribution is _______? |
| A. | U- Shaped |
| B. | J- Shaped |
| C. | Bell- Shaped |
| D. | None of these |
| Answer» D. None of these | |
| 31. |
The sum of the squares of deviations is the least when measured from____________? |
| A. | A.M. |
| B. | Median |
| C. | Mode |
| D. | G.M. |
| Answer» B. Median | |
| 32. |
Mean deviation =______ S.D? |
| A. | 2/3 |
| B. | 4/5 |
| C. | 5/6 |
| D. | 6/5 |
| Answer» C. 5/6 | |
| 33. |
If Skewed distribution the three averages mean, median and mode are ________? |
| A. | Identical |
| B. | Different |
| C. | Zero |
| D. | None of these |
| Answer» C. Zero | |
| 34. |
First moment about origin is always equal to _______________? |
| A. | A.M. |
| B. | variance |
| C. | Zero |
| D. | None of these |
| Answer» D. None of these | |
| 35. |
The sum of powers of deviation from mean is zero is called __________? |
| A. | Mean |
| B. | Lack |
| C. | Normal |
| D. | Skewed |
| Answer» D. Skewed | |
| 36. |
Relative measure of skewness was introduced by _____________? |
| A. | Rowely |
| B. | Lack |
| C. | Karl Person |
| D. | Mode |
| Answer» D. Mode | |
| 37. |
The ________ in the distribution around which the observation to lie? |
| A. | Mean |
| B. | Dispersion |
| C. | Manner |
| D. | Central value |
| Answer» D. Central value | |
| 38. |
The value of interval x ± S include _______________? |
| A. | 49.45% |
| B. | 95.45% |
| C. | 68.27% |
| D. | 99.73% |
| Answer» D. 99.73% | |
| 39. |
The S.D. and variance are ____ of origine? |
| A. | Multiplied |
| B. | Variance |
| C. | Change |
| D. | Independent |
| Answer» E. | |
| 40. |
Mean deviation is always ________________? |
| A. | Equal to S.D. |
| B. | More than S.D. |
| C. | Less than S.D. |
| D. | Negative |
| Answer» D. Negative | |
| 41. |
In grouped data, the range is the difference between ________________? |
| A. | Two extreme class boundaries |
| B. | Two extreme class frequency |
| C. | Two extreme class limits |
| D. | None of these |
| Answer» B. Two extreme class frequency | |
| 42. |
Mean deviation is equal to 4/5 of the _________ manipulation? |
| A. | Quartile deviation |
| B. | Range |
| C. | Standard deviation |
| D. | Variance |
| Answer» D. Variance | |
| 43. |
Range of 5,5,5,5, is ________________? |
| A. | 0 |
| B. | 5 |
| C. | 25 |
| D. | None of these |
| Answer» B. 5 | |
| 44. |
If y = bx + a the mean deviation of y is_____________? |
| A. | S.D. of y |
| B. | var (x) |
| C. | S.D. of x |
| D. | M.D.of x |
| Answer» E. | |
| 45. |
Absolute sum of deviations is minimum from _______________? |
| A. | Coefficient of variance |
| B. | S.D. of x |
| C. | Mean |
| D. | Normal |
| Answer» D. Normal | |
| 46. |
The degree to which numerical data tend to spread about an average value is a________________? |
| A. | Range |
| B. | variance |
| C. | Minimum |
| D. | Dispersion |
| Answer» E. | |
| 47. |
In a symmetrical distribution mean, median and mode, _________________? |
| A. | Positive |
| B. | Greater |
| C. | Less than |
| D. | Coincide |
| Answer» E. | |
| 48. |
The correct variance is define as the __________________? |
| A. | varies of data P2/6 |
| B. | S.D. of data h2/12 |
| C. | M.D. of data h2/6 |
| D. | Variance of data h2/12 |
| Answer» E. | |
| 49. |
The A.M. is greater than mode is equal to ______________? |
| A. | +vely |
| B. | Skewness |
| C. | Negatively |
| D. | zero |
| Answer» B. Skewness | |