Box Plots

Front

What is a box plot?

Back

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

Front

What does the median represent in a dataset?

Back

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

Front

How do you find the median of a dataset?

Back

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

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the first quartile (Q1) and the third quartile (Q3). It measures the spread of the middle 50% of the data.

Front

How do you calculate the IQR?

Back

IQR = Q3 - Q1.

Front

What is the lower quartile (Q1)?

Back

The lower quartile (Q1) is the median of the lower half of a 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 a dataset, representing the 75th percentile.

Front

What does a box plot show about a dataset?

Back

A box plot shows the distribution of the data, including its central tendency (median), variability (IQR), and potential outliers.

Front

What is an outlier in a dataset?

Back

An outlier is a value that is significantly higher or lower than the other values in a dataset, often lying outside 1.5 times the IQR from the quartiles.

Front

How can you identify outliers using a box plot?

Back

Outliers can be identified in a box plot as points that fall outside the whiskers, which extend to 1.5 times the IQR from Q1 and Q3.