Which of the following statements is correct?

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Question:
Which of the following statements is correct?

1.The standard deviation of a constant is equal to unity

2.The sum of absolute deviations is minimum if these deviations are taken from the mean.

3.The second moment about origin equals variance

4.The variance is positive quantity and is expressed in square of the units of the observations

Posted Date:-2021-11-13 18:01:57

More MCQS Questions and answers

  1. If the dispersion is small, the standard deviation is:
  2. All odd order moments about mean in a symmetrical distribution are:
  3. Bowley's coefficient of skewness lies between:
  4. For a positively skewed distribution, mean is always:
  5. For a symmetrical distribution:
  6. Half of the difference between upper and lower quartiles is called:
  7. If all the scores on examination cluster around the mean, the dispersion is said to be:
  8. If mean=25, median=30 and standard deviation=15, the distribution will be:
  9. If standard deviation of the values 2, 4, 6, 8 is 2.236, then standard deviation of the values 4, 8,12, 16 is:
  10. If the maximum value in a series is 25 and its range is 15, the maximum value of the series is:
  11. If the observations of a variable X are, -4, -20, -30, -44 and -36, then the value of the range will be:
  12. If the third moment about mean is zero, then the distribution is:
  13. If there are many extreme scores on all examination, the dispersion is:
  14. If Y = aX + b, where a and b are any two numbers but a ∦ 0, then S.D(Y) is equal to:
  15. If Y = aX ± b, where a and b are any two constants and a ∦ 0, then the quartile deviation of Y values is equal to:
  16. If Y = aX ± b, where a and b are any two numbers and a ∦ 0, then the range of Y values will be:
  17. If Y = aX ± b, where a and b are any two numbers but a ∦ 0, then M.D(Y) is equal to:
  18. In a mesokurtic or normal distribution, 4 = 243. The standard deviation is:
  19. In a set of observations the variance is 50. All the observations are increased by 100%. The variance of the increased observations will become:
  20. In a symmetrical distribution, Q3 – Q1 = 20, median = 15. Q3 is equal to:
  21. In quality control of manufactured items, the most common measure of dispersion is:
  22. Mean deviation computed from a set of data is always:
  23. Moment ratios β1 and β2 are:
  24. S.D(X) = 6 and S.D(Y) = 8. If X and Yare independent random variables, then S.D(X-Y) is:
  25. Standard deviation is always calculated from:
  26. The degree of peaked ness or flatness of a unimodel distribution is called:
  27. The first three moments of a distribution about the mean X are 1, 4 and 0. The distribution is:
  28. The mean deviation of the scores 12, 15, 18 is:
  29. The measure of dispersion which uses only two observations is called:
  30. The measurements of spread or scatter of the individual values around the central point is called:
  31. The measures of dispersion can never be:
  32. The measures used to calculate the variation present among the observations in the unit of the variable is called:
  33. The measures used to calculate the variation present among the observations relative to their average is called:
  34. The moments about mean are called:
  35. The positive square root of the mean of the squares of the cleviations of observations from their mean is called:
  36. The range of the scores 29, 3, 143, 27, 99 is:
  37. The ratio of the standard deviation to the arithmetic mean expressed as a percentage is called:
  38. The scatter in a series of values about the average is called:
  39. The second and fourth moments about mean are 4 and 48 respectively, then the distribution is:
  40. The standard deviation is independent of:
  41. The standard deviation of -5, -5, -5, -5, 5 is:
  42. The standard deviation one distribution dividedly the mean of the distribution and expressing in percentage is called:
  43. The sum of absolute deviations is minimum if these deviations are taken from the:
  44. The variance is zero only if all observations are the:
  45. To compare the variation of two or more than two series, we use
  46. Which measure of dispersion can be computed in case of open-end classes?
  47. Which measure of dispersion has a different unit other than the unit of measurement of values:
  48. Which of the following is an absolute measure of dispersion?
  49. Which of the following measures of dispersion is expressed in the same units as the units of observation?
  50. Which of the following statements is correct?
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