Box and Whisker Plots

Front

What is a Box and Whisker Plot?

Back

A graphical representation of data that shows the distribution through their quartiles, highlighting the median, lower quartile, upper quartile, and potential outliers.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the median represent in a Box and Whisker Plot?

Back

The median is the middle value of the dataset, dividing it into two equal halves.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What are quartiles in a Box and Whisker Plot?

Back

Quartiles are values that divide a dataset into four equal parts: the first quartile (Q1), the second quartile (Q2, which is the median), and the third quartile (Q3).

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

How do you find the first quartile (Q1)?

Back

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

Tags

CCSS.6.SP.B.5C

Front

How do you find the third quartile (Q3)?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What does the whisker represent in a Box and Whisker Plot?

Back

The whiskers extend from the quartiles to the smallest and largest values within 1.5 times the interquartile range (IQR) from the quartiles.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What is the interquartile range (IQR)?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What does an outlier represent in a Box and Whisker Plot?

Back

An outlier is a data point that lies outside the range defined by 1.5 times the IQR above Q3 or below Q1.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

How can you determine the percentage of data within a certain range using a Box and Whisker Plot?

Back

By analyzing the quartiles and the whiskers, you can estimate the percentage of data that falls between specific values.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What is the significance of the median in data analysis?

Back

The median provides a measure of central tendency that is less affected by outliers than the mean.

Tags

CCSS.HSS.ID.A.2

CCSS.6.SP.B.5D