Box Plots

Front

What is a box plot?

Back

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

Front

What does the median represent in a box plot?

Back

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

Front

How do you calculate the range of a dataset?

Back

The range is calculated by subtracting the minimum value from the maximum value in the dataset.

Front

What are quartiles in a box plot?

Back

Quartiles are values that divide a dataset into four equal parts: Q1 (25th percentile), Q2 (50th percentile or median), and Q3 (75th percentile).

Front

What does the interquartile range (IQR) represent?

Back

The interquartile range (IQR) is the difference between Q3 and Q1, representing the middle 50% of the data.

Front

How can you identify outliers in a box plot?

Back

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

Front

What does the whisker in a box plot indicate?

Back

The whiskers extend from the quartiles to the minimum and maximum values, showing the spread of the data outside the interquartile range.

Front

What is the purpose of a box plot?

Back

A box plot is used to visually summarize the distribution of a dataset, highlighting its central tendency and variability.

Front

How do you interpret the position of the median in a box plot?

Back

The position of the median within the box indicates the skewness of the data: if it is centered, the data is symmetric; if it is closer to Q1 or Q3, the data is skewed.

Front

What does a longer whisker indicate in a box plot?

Back

A longer whisker indicates a greater spread of data points in that direction, suggesting more variability.