Boxplots

Front

What is a boxplot?

Back

A boxplot is a graphical representation of a dataset that shows its minimum, first quartile, median, third quartile, and maximum.

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.

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, with the first quartile (Q1) being the 25th percentile, the second quartile (Q2) the 50th percentile (median), and the third quartile (Q3) the 75th percentile.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

How do you find the upper quartile (Q3)?

Back

To find Q3, order the data set and find the median of the upper half of the data.

Tags

CCSS.6.SP.B.5C

Front

What does the interquartile range (IQR) represent?

Back

The IQR is the range between the first quartile (Q1) and the third quartile (Q3) and represents the middle 50% of the data.

Tags

CCSS.6.SP.B.5C

Front

How do you calculate the IQR?

Back

IQR = Q3 - Q1.

Tags

CCSS.6.SP.B.5C

Front

What does a boxplot tell you about outliers?

Back

Outliers are typically represented as individual points outside the whiskers of the boxplot.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What is the purpose of the whiskers in a boxplot?

Back

Whiskers extend from the box to the smallest and largest values within 1.5 times the 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 symmetric?

Back

A symmetric boxplot indicates that the data is evenly distributed around the median.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1