Interpreting Boxplots

Front

What is a boxplot?

Back

A boxplot, or box-and-whisker plot, is a graphical representation of data that shows the distribution through five summary statistics: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the range of a dataset represent?

Back

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

Tags

CCSS.6.SP.A.3

Front

How do you find the outlier in a dataset?

Back

An outlier is a data point that is significantly different from the other data points. It can be identified using the interquartile range (IQR) method: any point that lies below Q1 - 1.5*IQR or above Q3 + 1.5*IQR is considered an outlier.

Front

What is the five-number summary?

Back

The five-number summary consists of the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum of a dataset.

Tags

CCSS.6.SP.B.5B

Front

What is the median of a dataset?

Back

The median is the middle value when the data is arranged in ascending order. If there is an even number of observations, the median is the average of the two middle numbers.

Tags

CCSS.6.SP.B.5C

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.

Tags

CCSS.6.SP.B.5C

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.

Tags

CCSS.6.SP.B.5C

Front

How do you interpret the whiskers in a boxplot?

Back

The whiskers in a boxplot extend from the box to the smallest and largest values within 1.5 times the interquartile range (IQR) from the quartiles.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does it mean if a boxplot is skewed to the right?

Back

A right-skewed boxplot indicates that the majority of the data points are concentrated on the left side, with a few larger values stretching the tail to the right.

Front

What does it mean if a boxplot is skewed to the left?

Back

A left-skewed boxplot indicates that the majority of the data points are concentrated on the right side, with a few smaller values stretching the tail to the left.