Business Statistics Online MCQ Set 5

QN01. 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:

  1. a Q.D(X) + b
  2. ∣a∣ Q.D(X)
  3. Q.D(X) - b
  4. ∣b∣ Q.D(X)
Answer

(B)∣a∣ Q.D(X)

QN02. For a symmetrical distribution:

  1. β1 > 0
  2. β1 < 0
  3. β1 = 0
  4. β1= 3
Answer

(C)β1 = 0

QN03. The scatter in a series of values about the average is called:

  1. Central tendency
  2. Dispersion
  3. Skewness
  4. Symmetry
Answer

(B)Dispersion

QN04. The measures of dispersion can never be:

  1. Positive
  2. Zero
  3. Negative
  4. Equal to 2
Answer

(C)Negative

QN05. Which of the following is an absolute measure of dispersion?

  1. Coefficient of variation
  2. Coefficient of dispersion
  3. Standard deviation
  4. Coefficient of skewness
Answer

(C)Standard deviation

QN06. If the observations of a variable X are, -4, -20, -30, -44 and -36, then the value of the range will be:

  1. -48
  2. 40
  3. -40
  4. 48
Answer

(B)40

QN07. If the maximum value in a series is 25 and its range is 15, the maximum value of the series is:

  1. 10
  2. 15
  3. 25
  4. 35
Answer

(A)10

QN08. Mean deviation computed from a set of data is always:

  1. Negative
  2. Equal to standard deviation
  3. More than standard deviation
  4. Less than standard deviation
Answer

(D)Less than standard deviation

QN09. Which measure of dispersion has a different unit other than the unit of measurement of values:

  1. Range
  2. Standard deviation
  3. Variance
  4. Mean deviation
Answer

(C)Variance

QN10. The positive square root of the mean of the squares of the cleviations of observations from their mean is called:

  1. Variance
  2. Range
  3. Standard deviation
  4. Coefficient of variation
Answer

(C)Standard deviation

QN11. S.D(X) = 6 and S.D(Y) = 8. If X and Yare independent random variables, then S.D(X-Y) is:

  1. 2
  2. 10
  3. 14
  4. 100
Answer

(B)10

QN12. The ratio of the standard deviation to the arithmetic mean expressed as a percentage is called:

  1. Coefficient of standard deviation
  2. Coefficient of skewness
  3. Coefficient of kurtosis
  4. Coefficient of variation
Answer

(D)Coefficient of variation

QN13. To compare the variation of two or more than two series, we use

  1. Combined standard deviation
  2. Corrected standard deviation
  3. Coefficient of variation
  4. Coefficient of skewness
Answer

(C)Coefficient of variation

QN14. If standard deviation of the values 2, 4, 6, 8 is 2.236, then standard deviation of the values 4, 8,12, 16 is:

  1. 0
  2. 4.472
  3. 4.236
  4. 2.236
Answer

(B)4.472

QN15. The moments about mean are called:

  1. Raw moments
  2. Central moments
  3. Moments about origin
  4. All of the above
Answer

(B)Central moments

QN16. Moment ratios β1 and β2 are:

  1. Independent of origin and scale of measurement
  2. Expressed in original unit of the data
  3. Unit less quantities
  4. Both (a) and (c)
Answer

(C)Unit less quantities

QN17. If the third moment about mean is zero, then the distribution is:

  1. Positively skewed
  2. Negatively skewed
  3. Symmetrical
  4. Mesokurtic
Answer

(C)Symmetrical

QN18. If mean=25, median=30 and standard deviation=15, the distribution will be:

  1. Symmetrical
  2. Positively skewed
  3. Negatively skewed
  4. Normal
Answer

(C)Negatively skewed

QN19. In a symmetrical distribution, Q3 – Q1 = 20, median = 15. Q3 is equal to:

  1. 5
  2. 15
  3. 20
  4. 25
Answer

(D)25

QN20. The degree of peaked ness or flatness of a unimodel distribution is called:

  1. Skewness
  2. Symmetry
  3. Dispersion
  4. Kurtosis
Answer

(D)Kurtosis

QN21. In a mesokurtic or normal distribution, 4 = 243. The standard deviation is:

  1. 81
  2. 27
  3. 9
  4. 3
Answer

(D)3

QN22. The measurements of spread or scatter of the individual values around the central point is called:

  1. Measures of dispersion
  2. Measures of central tendency
  3. Measures of skewness
  4. Measures of kurtosis
Answer

(A)Measures of dispersion

QN23. If all the scores on examination cluster around the mean, the dispersion is said to be:

  1. Small
  2. Large
  3. Normal
  4. Symmetrical
Answer

(A)Small

QN24. The range of the scores 29, 3, 143, 27, 99 is:

  1. 140
  2. 143
  3. 146
  4. 70
Answer

(A)140

QN25. The sum of absolute deviations is minimum if these deviations are taken from the:

  1. Mean
  2. Mode
  3. Median
  4. Upper quartile
Answer

(C)Median

QN26. Which of the following measures of dispersion is expressed in the same units as the units of observation?

  1. Variance
  2. Standard deviation
  3. Coefficient of variation
  4. Coefficient of standard deviation
Answer

(B)Standard deviation

QN27. The standard deviation is independent of:

  1. Change of origin
  2. Change of scale of measurement
  3. Change of origin and scale of measurement
  4. Difficult to tell
Answer

(A)Change of origin

QN28. 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
Answer

(D)The variance is positive quantity and is expressed in square of the units of the observations

QN29. In a set of observations the variance is 50. All the observations are increased by 100%. The variance of the increased observations will become:

  1. 50
  2. 200
  3. 100
  4. No change
Answer

(B)200

QN30. All odd order moments about mean in a symmetrical distribution are:

  1. Positive
  2. Negative
  3. Zero
  4. Three
Answer

(C)Zero

QN31. The first three moments of a distribution about the mean X are 1, 4 and 0. The distribution is:

  1. Symmetrical
  2. Skewed to the left
  3. Skewed to the right
  4. Normal
Answer

(A)Symmetrical

QN32. For a positively skewed distribution, mean is always:

  1. Less than the median
  2. Less than the mode
  3. Greater than the mode
  4. Difficult to tell
Answer

(C)Greater than the mode

QN33. Bowley's coefficient of skewness lies between:

  1. 0 and 1
  2. 1 and +1
  3. -1 and 0
  4. -2 and +2
Answer

(B)1 and +1

QN34. The second and fourth moments about mean are 4 and 48 respectively, then the distribution is:

  1. Leptokurtic
  2. Platykurtic
  3. Mesokurtic or normal
  4. Positively skewed
Answer

(C)Mesokurtic or normal

QN35. The measures used to calculate the variation present among the observations in the unit of the variable is called:

  1. Relative measures of dispersion
  2. Coefficient of skewness
  3. Absolute measures of dispersion
  4. Coefficient of variation
Answer

(C)Absolute measures of dispersion

QN36. The measure of dispersion which uses only two observations is called:

  1. Mean
  2. Median
  3. Range
  4. Coefficient of variation
Answer

(C)Range

QN37. Half of the difference between upper and lower quartiles is called:

  1. Interquartile range
  2. Quartile deviation
  3. Mean deviation
  4. Standard deviation
Answer

(B)Quartile deviation

QN38. The mean deviation of the scores 12, 15, 18 is:

  1. 6
  2. 0
  3. 3
  4. 2
Answer

(D)2

QN39. The variance is zero only if all observations are the:

  1. Different
  2. Square
  3. Square root
  4. Same
Answer

(D)Same

QN40. The standard deviation of -5, -5, -5, -5, 5 is:

  1. -5
  2. +5
  3. 0
  4. -25
Answer

(C)0

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