ALG Box and Whisker Plots

Front

What is a Box and Whisker Plot?

Back

A Box and Whisker Plot is a graphical representation of a dataset that displays its minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

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 calculate the IQR?

Back

To calculate the IQR, subtract the first quartile (Q1) from the third quartile (Q3): IQR = Q3 - Q1.

Front

What is the lower quartile (Q1)?

Back

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

Front

What is the upper quartile (Q3)?

Back

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

Front

What does the median represent in a Box and Whisker Plot?

Back

The median represents the middle value of the dataset when it is ordered, dividing the dataset into two equal halves.

Front

What is the purpose of the whiskers in a Box and Whisker Plot?

Back

The whiskers extend from the box to the smallest and largest values that are not outliers, showing the range of the data.

Front

How can you identify outliers in a Box and Whisker Plot?

Back

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

Front

What percentage of data lies within the IQR?

Back

50% of the data lies within the interquartile range (IQR).

Front

If the IQR is 20, what does that indicate about the data?

Back

An IQR of 20 indicates that the range of the middle 50% of the data is 20 units.