18 Questions
Which type of distribution has heavier tails due to having a kurtosis greater than zero?
Leptokurtic distribution
In which type of kurtosis is the distribution assumed to be normal if the kurtosis is close to 0?
Mesokurtic distribution
What does low kurtosis indicate in a data set?
Light tails
If a data set exhibits high kurtosis, what should be investigated?
Presence of outliers
Which type of distribution has a kurtosis less than zero and is characterized by light tails?
Platykurtic distribution
What characteristic do mesokurtic distributions share with the normal distribution?
Similar extreme values
What does kurtosis measure in a distribution?
Degree of peakedness or flatness
In the context of kurtosis, what does a leptokurtic distribution indicate?
Data are heavy-tailed relative to a normal distribution
What kind of distribution is characterized by having a high kurtosis value?
Leptokurtic distribution
How would you interpret a low kurtosis value in a dataset?
Data are highly scattered from the mean
Which statement is true regarding interpreting kurtosis?
Low kurtosis means data are light-tailed relative to a normal distribution
What does a high kurtosis value suggest about a dataset?
Data exhibit heavy-tailed behavior
Which type of distribution has a kurtosis greater than 3?
Leptokurtic
What characteristic of a leptokurtic distribution makes the data appear in a narrow vertical range?
High peak
In a platykurtic distribution, why are the tails thinner than in a normal distribution?
Low peak
What does it mean when a distribution has a kurtosis of exactly 3?
Mesokurtic
Why do outliers stretch the horizontal axis in a leptokurtic distribution?
They fatten the tails
When comparing kurtosis values, what does it indicate if a distribution has a kurtosis less than 3?
Light-tailed data
Learn about kurtosis in statistics and how it indicates the presence of heavy or light tails, as well as outliers in a data set. High kurtosis signifies heavy-tailed distributions with outliers, while low kurtosis indicates light-tailed distributions with fewer outliers.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
