Boxplots practice

Front

What is a boxplot?

Back

A boxplot, or box-and-whisker plot, is a graphical representation of data that displays the distribution of a dataset based on a five-number summary: minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

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

What are quartiles in statistics?

Back

Quartiles are values that divide a dataset into four equal parts. The first quartile (Q1) is the median of the lower half, the second quartile (Q2) is the median, and the third quartile (Q3) is the median of the upper half.

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 range of a dataset indicate?

Back

The range indicates the difference between the maximum and minimum values in a dataset, showing the spread of the data.

Front

What is the purpose of whiskers in a boxplot?

Back

Whiskers in a boxplot extend from the box to the highest and lowest values, excluding outliers, providing a visual representation of the variability outside the upper and lower quartiles.

Front

What is an outlier in a dataset?

Back

An outlier is a data point that is significantly different from other observations in the dataset, often lying outside 1.5 times the IQR above Q3 or below Q1.

Front

How can you identify the lower quartile (Q1) from a boxplot?

Back

The lower quartile (Q1) is represented by the left edge of the box in a boxplot, indicating the 25th percentile of the data.

Front

What does a higher interquartile range (IQR) indicate about a dataset?

Back

A higher interquartile range (IQR) indicates greater variability in the middle 50% of the data, suggesting a wider spread of values.

Front

How do you find the median from a boxplot?

Back

The median is represented by the line inside the box of a boxplot, indicating the 50th percentile of the data.