Box-and-Whisker Review

Front

What is a Box-and-Whisker Plot?

Back

A Box-and-Whisker Plot is a graphical representation of a data set that shows its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

Front

What does the interquartile range (IQR) represent?

Back

The interquartile range (IQR) represents the range of the middle 50% of the data, calculated as Q3 - Q1.

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How do you find the median of a data set?

Back

To find the median, arrange the data in ascending order and identify the middle value. If there is an even number of values, the median is the average of the two middle values.

Front

What is the minimum value in a data set?

Back

The minimum value is the smallest number in the data set.

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What is the maximum value in a data set?

Back

The maximum value is the largest number in the data set.

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What are quartiles?

Back

Quartiles are values that divide a data set into four equal parts, with Q1 being the first quartile (25th percentile), Q2 the median (50th percentile), and Q3 the third quartile (75th percentile).

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 does the whisker in a Box-and-Whisker Plot represent?

Back

The whiskers in a Box-and-Whisker Plot extend from the quartiles to the minimum and maximum values, showing the range of the data.

Front

What is the purpose of a Box-and-Whisker Plot?

Back

The purpose of a Box-and-Whisker Plot is to provide a visual summary of the distribution, central tendency, and variability of a data set.

Front

How can you identify outliers using a Box-and-Whisker Plot?

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Outliers can be identified as points that fall below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR.