Box Plots and IQR

Front

What is a box plot?

Back

A box plot is a graphical representation of a dataset that displays the median, quartiles, and potential outliers. It consists of a box that represents the interquartile range (IQR) and lines (whiskers) that extend to the minimum and maximum values.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the first quartile (Q1) represent in a box plot?

Back

The first quartile (Q1) represents the 25th percentile of the data, meaning that 25% of the data points fall below this value.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the second quartile (Q2) represent in a box plot?

Back

The second quartile (Q2), also known as the median, represents the 50th percentile of the data, meaning that 50% of the data points fall below this value.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the third quartile (Q3) represent in a box plot?

Back

The third quartile (Q3) represents the 75th percentile of the data, meaning that 75% of the data points fall below this value.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

How is the interquartile range (IQR) calculated?

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 is the significance of the median in a box plot?

Back

The median is significant because it provides a measure of central tendency, indicating the middle value of the dataset when it is ordered.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What do the whiskers in a box plot represent?

Back

The whiskers in a box plot extend from the quartiles to the minimum and maximum values of the dataset, excluding outliers.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What are outliers in the context of a box plot?

Back

Outliers are data points that fall significantly below Q1 or above Q3, often defined as being more than 1.5 times the IQR away from the quartiles.

Front

How can you identify the median from a box plot?

Back

The median is identified as the line inside the box of the box plot, which divides the box into two parts.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What is the purpose of using a box plot?

Back

The purpose of using a box plot is to provide a visual summary of the distribution of a dataset, highlighting its central tendency, variability, and potential outliers.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1