What does the measure of skewness indicate about a data distribution?

It indicates the extent of asymmetry or lack of symmetry in the distribution about the mean.

A distribution with a skewness value of zero is considered to be ___ about its mean.

Symmetric

In a positively skewed distribution, the tail on the ___ side is longer.

Right

What is the primary purpose of measuring skewness in statistics?

To understand the asymmetry of a data distribution and how it affects the relationship between mean, median, and mode.

Fill in the blank: Bowley Skewness is useful when you have information about ___ instead of mean and mode.

Quartiles

How does excess kurtosis differentiate between mesokurtic, leptokurtic, and platykurtic distributions?

Excess kurtosis is zero for mesokurtic, positive for leptokurtic, and negative for platykurtic distributions.

What does a leptokurtic distribution signify in terms of its peak and tails?

It has a high peak and heavy tails compared to a normal distribution.

Fill in the blank: A distribution that shows thin and low peaks is classified as ___.

Platykurtic

In skewness measurement, what does the term 'asymmetry' refer to?

It refers to the lack of mirror image symmetry about the mean in the distribution.

True or False: Kelly’s Measure of Skewness uses the middle 50 percent of observations to calculate skewness.

False. Kelly's Measure uses the 90th and 10th percentiles, excluding only 20 percent of observations.

What can be inferred when the mean is greater than the median in a distribution?

The distribution is likely positively skewed.