4 Ex-4: Skewness and Kurtosis

  1. Two frequency distributions show the following results. Which of the two is more skewed?
Distribution Mean Median Standard.Deviation
I 120 80 12
II 70 65 12

  1. The first 4 moments about the A. M. for a frequency distribution are 0, 2.5, 0.7 and 18.75. Find skewness and kurtosis.

  2. Calculate the Bowley’s coefficient of skewness

Class Frequency
100-200 50
200-300 250
300-400 100
400-500 100
500-600 300
600-700 50
700-800 50
800-900 50
900-1000 50

  1. In a frequency distribution mean = 65, median = 70, Skp = -0.6,find mode and coefficient of variation?

  2. In a frequency distribution, the skp based on quartiles is 0.6, sum of lower and upper quartiles is 100 and median is 38, find the quartiles?