Distribution Shapes and Outliers

Front

What is the shape of a distribution that has a longer tail on the right side?

Back

Skewed Right

Front

What is an outlier in a data set?

Back

An outlier is a data point that differs significantly from other observations in the data set.

Front

How does removing an outlier affect the mean of a data set?

Back

Removing an outlier typically decreases the mean if the outlier is higher than the other values.

Front

What is the median of a data set?

Back

The median is the middle value when the data set is ordered from least to greatest.

Front

What does it mean if a distribution is symmetrical?

Back

A symmetrical distribution has equal tails on both sides of the mean.

Front

What is the first quartile (Q1) in a data set?

Back

Q1 is the median of the lower half of the data set, representing the 25th percentile.

Front

What is the third quartile (Q3) in a data set?

Back

Q3 is the median of the upper half of the data set, representing the 75th percentile.

Front

How do you identify an outlier using the interquartile range (IQR)?

Back

An outlier is any value that is less than Q1 - 1.5*IQR or greater than Q3 + 1.5*IQR.

Front

What is a skewed left distribution?

Back

A skewed left distribution has a longer tail on the left side, indicating that the majority of data points are on the right.

Front

What is a uniform distribution?

Back

A uniform distribution has all outcomes equally likely, resulting in a flat shape.