Boxplots

Front

What is a boxplot?

Back

A boxplot is a graphical representation of a dataset that shows 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 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: Q1 (25th percentile), Q2 (50th percentile or median), and Q3 (75th percentile).

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What is the interquartile range (IQR)?

Back

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

Tags

CCSS.6.SP.B.5C

Front

How do you find the lower quartile (Q1)?

Back

Q1 is the median of the lower half of the dataset, excluding the overall median if the number of data points is odd.

Tags

CCSS.6.SP.B.5C

Front

How do you find the upper quartile (Q3)?

Back

Q3 is the median of the upper half of the dataset, excluding the overall median if the number of data points is odd.

Tags

CCSS.6.SP.B.5C

Front

What does a boxplot tell you about outliers?

Back

Outliers are data points that fall outside 1.5 times the IQR above Q3 or below Q1, and they are often represented as individual points on the boxplot.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What is the purpose of a boxplot?

Back

A boxplot 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 length of the box in a boxplot represent?

Back

The length of the box represents the interquartile range (IQR), showing the spread of the middle 50% of the data.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What is the significance of the whiskers in a boxplot?

Back

The whiskers extend from the box to the smallest and largest values within 1.5 times the IQR, indicating the range of the bulk of the data.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1