dis-cuss the skewness of the distribution.
Question
dis-cuss the skewness of the distribution.
Solution
Skewness is a measure of the asymmetry of the probability distribution of a real-valued random variable about its mean. It can take the following forms:
-
Positive Skewness: This occurs when the tail on the right side of the distribution is longer or fatter than the left side. It means that the data are heavy-tailed or profusion of larger values.
-
Negative Skewness: This occurs when the tail of the left side of the distribution is longer or fatter than the right side. It indicates a data are heavy-tailed or profusion of smaller values.
-
No Skewness: A distribution with no skewness or zero skewness is referred to as a symmetric distribution. That is, the distribution is perfectly symmetrical around its mean.
To determine the skewness of the distribution, you can use the formula:
Skewness = 3 * (Mean – Median) / Standard Deviation
If the skewness is less than -1 or greater than 1, the distribution is highly skewed. If the skewness is between -1 and -0.5 or between 0.5 and 1, the distribution is moderately skewed. If the skewness is between -0.5 and 0.5, the distribution is approximately symmetric.
In conclusion, skewness is a critical concept in understanding the distribution of your data. It helps you to identify the shape of the distribution of your data, whether the distribution is symmetrical or asymmetrical.
Similar Questions
When a distribution has a greater proportion of the measurements to the right of the peak value, we say that it is skewed to the left.
The skewness of the Normal distribution is ______.
What does a negative skewness value indicate about a distribution?The distribution is skewed to the right.The distribution is skewed to the left.The distribution is symmetrical.The distribution is flat
If the shape of a frequency distribution is lopsided, with a long tail projecting longer to the right than to the left, how would the distribution be skewed?Choose onenormallynegativelypositivelyaverage
In a perfectly symmetrical distribution, the skewness is:a.Positiveb.Negativec.Zerod.Cannot be determined
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.