2.4-2.5 Review: Distribution Shapes and Outliers

Front

What is an outlier in a data set?

Back

An outlier is a data point that differs significantly from other observations in a dataset. It can be much higher or lower than the rest of the data.

Front

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

Back

Outliers can be identified using the IQR by calculating the lower bound (Q1 - 1.5 * IQR) and the upper bound (Q3 + 1.5 * IQR). Any data points outside these bounds are considered outliers.

Front

What does it mean if a distribution is skewed left?

Back

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

Front

What does it mean if a distribution is skewed right?

Back

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

Front

What is a symmetrical distribution?

Back

A symmetrical distribution is one where the left and right sides of the distribution are mirror images of each other, meaning the mean, median, and mode are all equal.

Front

What is a uniform distribution?

Back

A uniform distribution is one where all outcomes are equally likely, resulting in a flat shape when graphed.

Front

If Q1 = 53 and Q3 = 61, what is the IQR?

Back

The IQR (Interquartile Range) is calculated as Q3 - Q1, which is 61 - 53 = 8.

Front

What is the purpose of using box plots in data analysis?

Back

Box plots visually summarize the distribution of a dataset, highlighting the median, quartiles, and potential outliers.

Front

How can you determine if a distribution is skewed?

Back

You can determine skewness by comparing the mean and median; if the mean is greater than the median, the distribution is skewed right, and if the mean is less than the median, it is skewed left.

Front

What is the median in a data set?

Back

The median is the middle value when the data points are arranged in ascending order. If there is an even number of observations, it is the average of the two middle values.