Box plots and outliers

Front

What is a box plot?

Back

A box plot, or box-and-whisker plot, is a graphical representation of a dataset that displays its minimum, first quartile (Q1), median, third quartile (Q3), and maximum values.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

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.

Tags

CCSS.6.SP.B.5C

Front

How do you find the median in a box plot?

Back

The median is represented by the line inside the box of a box plot.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What are outliers in a dataset?

Back

Outliers are data points that are significantly higher or lower than the majority of the data. They can affect the mean and other statistical measures.

Front

How can you identify outliers using a box plot?

Back

Outliers are typically represented as individual points that fall outside the 'whiskers' of the box plot.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What is the interquartile range (IQR)?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What percentage of data lies within the interquartile range?

Back

Approximately 50% of the data lies within the interquartile range (IQR).

Tags

CCSS.6.SP.B.5C

Front

How does a low outlier affect the mean and median?

Back

A low outlier decreases the mean but has little effect on the median.

Front

What is the purpose of a box plot?

Back

A box plot is used to visually summarize the distribution of a dataset, highlighting its central tendency, variability, and potential outliers.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the whisker in a box plot represent?

Back

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

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1