Box and whisker plots

Front

What is a box and whisker plot?

Back

A box and whisker plot is a graphical representation of a data set that displays its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

Front

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 are two middle values, add them together and divide by two.

Front

What is the lower quartile (Q1)?

Back

The lower quartile (Q1) is the median of the lower half of a data set, representing the 25th percentile.

Front

What is the upper quartile (Q3)?

Back

The upper quartile (Q3) is the median of the upper half of a data set, representing the 75th percentile.

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.

Front

How do you determine the outliers in a data set using a box plot?

Back

Outliers are determined by calculating 1.5 times the IQR below Q1 and above Q3. Any data points outside this range are considered outliers.

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 interpret the whiskers in a box and whisker plot?

Back

The whiskers extend from the box to the smallest and largest values within 1.5 times the IQR from Q1 and Q3, respectively.

Front

What does a longer box in a box plot indicate?

Back

A longer box indicates greater variability in the middle 50% of the data.

Front

What does it mean if the median line in the box is closer to Q1?

Back

If the median line is closer to Q1, it indicates that the data is skewed to the right (positively skewed).