Box Plots FLASHCARD

Front

What is a box plot?

Back

A box plot is a graphical representation of a data set that displays the median, quartiles, and potential outliers. It shows the distribution of the data.

Front

What does the median represent in a data set?

Back

The median is the middle value of a data set when it is ordered from least to greatest. It divides the data into two equal halves.

Front

What are quartiles in statistics?

Back

Quartiles are values that divide a data set into four equal parts. The first quartile (Q1) is the median of the lower half, the second quartile (Q2) is the median, and the third quartile (Q3) is the median of the upper half.

Front

How do you calculate the interquartile range (IQR)?

Back

The interquartile range (IQR) is calculated by subtracting the first quartile (Q1) from the third quartile (Q3): IQR = Q3 - Q1.

Front

What is the purpose of a box plot?

Back

The purpose of a box plot is to provide a visual summary of the central tendency, variability, and distribution of a data set, making it easier to identify outliers.

Front

What does the lower quartile (Q1) indicate?

Back

The lower quartile (Q1) indicates the value below which 25% of the data falls. It is the median of the lower half of the data set.

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What does the upper quartile (Q3) indicate?

Back

The upper quartile (Q3) indicates the value below which 75% of the data falls. It is the median of the upper half of the data set.

Front

How many data points are typically below the first quartile?

Back

Typically, 25% of the data points are below the first quartile (Q1).

Front

What is an outlier in a data set?

Back

An outlier is a data point that is significantly different from the other data points in the set, often lying outside 1.5 times the interquartile range (IQR) from the quartiles.

Front

How do you interpret the whiskers in a box plot?

Back

The whiskers in a box plot extend from the quartiles to the smallest and largest values within 1.5 times the IQR, indicating the range of the main data.