8.12: Boxplots

Front

What is a boxplot?

Back

A boxplot is a graphical representation of a dataset that displays the minimum, first quartile, median, third quartile, and maximum values.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the median represent in a boxplot?

Back

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

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What are quartiles in a boxplot?

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.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

How do you find 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.

Tags

CCSS.6.SP.B.5C

Front

What does the whisker in a boxplot represent?

Back

The whiskers in a boxplot extend from the quartiles to the minimum and maximum values, showing the range of the data.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does a boxplot tell you about the distribution of data?

Back

A boxplot provides a visual summary of the central tendency, variability, and skewness of the data distribution.

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

If a boxplot is skewed to the right, it 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 is the purpose of using a boxplot?

Back

Boxplots are used to compare distributions between different groups and to identify outliers in the data.

Front

How can you identify outliers in a boxplot?

Back

Outliers in a boxplot are typically represented as individual points that fall outside the whiskers, often defined as being more than 1.5 times the IQR above Q3 or below Q1.

Front

What does a boxplot with a long upper whisker indicate?

Back

A long upper whisker indicates that there are some high values in the dataset, suggesting a potential skewness or presence of outliers.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1