Question 5: In a data set the coefficient of skewness is -0.23 and coefficient is 0.67....
Question 5:
- In a data set the coefficient of skewness is -0.23 and coefficient is 0.67. The data set is normally distributed or not? Explain why?
- If the coefficient of skewness is -2.56, what is the shape of the data set? Is it right skewed, left skewed or symmetric? Explain why?
Homework Answers
Skewness is the degree of distortion from the symmetrical bell curve in a probability distribution. A value of zero means no skewness. Skewness can be measured using the below formula:
where, Sk2
is the Pearson's coefficient of skewness, Md is median and s is the
St. dev.
(a) For a data set to be normally distributed, the coefficient of skewness needs to be zero or nearly zero. Since, the coefficient of skewness is -0.23, the data is left skewed and NOT NORMALLY DISTRIBUTED.
(b) Because the coefficient of skewness is highly negative (-2.56), the shape of the distribution is LEFT SKEWED.
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Question 5:
In a data set the coefficient of skewness is -0.23 and
coefficient is 0.67....
If the median of a set of data is equal to the mean, then (a) The data are Norm...continues
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