Five Number Summary, Box Plots, and Outliers

Front

What is the Five Number Summary?

Back

The Five Number Summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum of a data set.

Front

What does a Box Plot represent?

Back

A Box Plot visually displays the distribution of a data set based on the Five Number Summary, highlighting the median, quartiles, and potential outliers.

Front

How do you calculate the Interquartile Range (IQR)?

Back

IQR = Q3 - Q1, where Q3 is the third quartile and Q1 is the first quartile.

Front

What is an outlier?

Back

An outlier is a data point that is significantly different from the other data points in a data set, often identified using the 1.5(IQR) rule.

Front

What is the 1.5(IQR) rule for identifying outliers?

Back

Any data point that is below Q1 - 1.5(IQR) or above Q3 + 1.5(IQR) is considered an outlier.

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What does it mean if data is skewed right?

Back

If data is skewed right, it means that the tail on the right side of the distribution is longer or fatter than the left side, indicating that there are a few high values.

Front

What does it mean if data is skewed left?

Back

If data is skewed left, it means that the tail on the left side of the distribution is longer or fatter than the right side, indicating that there are a few low values.

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What is the median in a data set?

Back

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

Front

How do you find the first quartile (Q1)?

Back

Q1 is the median of the lower half of the data set (excluding the overall median if the number of data points is odd).

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How do you find the third quartile (Q3)?

Back

Q3 is the median of the upper half of the data set (excluding the overall median if the number of data points is odd).