D10 U7 Rev Measures of Center and Variation

Front

What is the best measure of center for a skewed distribution?

Back

Median

Front

What is the best measure of variation for a skewed distribution?

Back

IQR (Interquartile Range)

Front

What is the best measure of variation for a symmetric distribution?

Back

Standard Deviation

Front

What is the definition of Standard Deviation?

Back

A measure of the amount of variation or dispersion in a set of values.

Front

What is the definition of IQR (Interquartile Range)?

Back

The difference between the third quartile (Q3) and the first quartile (Q1), representing the middle 50% of the data.

Front

When is the mean a good measure of center?

Back

When the data distribution is symmetric and not skewed.

Front

What does a skewed distribution indicate about the mean and median?

Back

In a skewed distribution, the mean is pulled in the direction of the skew, while the median remains a better measure of center.

Front

What is the relationship between IQR and outliers?

Back

IQR is less affected by outliers compared to the range, making it a better measure of variation for skewed data.

Front

What is the formula for calculating Standard Deviation?

Back

SD = √(Σ(xi - μ)² / N), where μ is the mean and N is the number of data points.

Front

What is the purpose of measures of center?

Back

To summarize a set of data with a single value that represents the center of the data distribution.