Moments, Skewness And Kurtosis(Business Statistics ) Questions and Answers

Question 1. For the grouped data in calculation of moments from mean, the formula to calculate this measure is
  1.    2⁄n Σn(x+mean)r
  2.    2⁄n Σn(x+mean)x
  3.    1⁄n Σf(x-mean)r
  4.    2⁄n Σf(x-mean)r
Explanation:-
Answer: Option C. -> 1⁄n Σf(x-mean)r
Answer: (c).1⁄n Σf(x-mean)r
Question 2. 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
  1.    negatively skewed
  2.    not skewed at all
  3.    absolute open ended
  4.    positively skewed
Explanation:-
Answer: Option A. -> negatively skewed
Answer: (a).negatively skewed
Question 3. The unifying method to summarize the statistical measure of descriptive nature is called
  1.    unifying momentum
  2.    momentum summary
  3.    moments
  4.    momentum
Explanation:-
Answer: Option C. -> moments
Answer: (c).moments
Question 4. In a symmetrical distribution, the third quartile and first quartile of data in distribution must
  1.    be at equal distance
  2.    not be at equal distance
  3.    positive value concentration
  4.    negative value concentration
Explanation:-
Answer: Option A. -> be at equal distance
Answer: (a).be at equal distance
Question 5. The three times of difference between mean and median is divided by standard deviation to calculate coefficient of skewness by method of
  1.    Professor Keller
  2.    Professor Bowley
  3.    Karl Pearson
  4.    Professor Kelly
Explanation:-
Answer: Option C. -> Karl Pearson
Answer: (c).Karl Pearson
Question 6. According to beta, the platykurtic distribution is one in which the
  1.    beta three is greater than three
  2.    beta two is greater than three
  3.    beta three is less than three
  4.    beta two is greater than two
Explanation:-
Answer: Option C. -> beta three is less than three
Answer: (c).beta three is less than three
Question 7. Considering the mean, mode and skewness of data, the value of skewness will be positive if
  1.    mean<median
  2.    mean>median
  3.    mean>mode
  4.    mean<mode
Explanation:-
Answer: Option D. -> mean<mode
Answer: (d).mean<mode
Question 8. The formula of calculating moment about means for the origin or zero is
  1.    1⁄n Σfxr
  2.    3⁄4 Σfxn
  3.    5⁄7 Σfxr
  4.    2⁄10 Σfxr
Explanation:-
Answer: Option A. -> 1⁄n Σfxr
Answer: (a).1⁄n Σfxr
Question 9. 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
  1.    2
  2.    26
  3.    1.667
  4.    168
Explanation:-
Answer: Option A. -> 2
Answer: (a).2
Question 10. In kurtosis, the frequency curve that has flatten top than normal curve of bell shaped distribution is classified as
  1.    leptokurtic
  2.    platykurtic
  3.    mega curve
  4.    mesokurtic
Explanation:-
Answer: Option B. -> platykurtic
Answer: (b).platykurtic
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