Box Plots

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.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What do the whiskers in a box plot represent?

Back

The whiskers in a box plot extend from the box to the smallest and largest values in the dataset that are not outliers.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

How do you find the median in a dataset?

Back

To find the median, arrange the data in ascending order and locate the middle value. If there is an even number of observations, the median is the average of the two middle values.

Tags

CCSS.6.SP.B.5C

Front

What are quartiles?

Back

Quartiles are values that divide a dataset into four equal parts. Q1 is the first quartile (25th percentile), Q2 is the median (50th percentile), and Q3 is the third quartile (75th percentile).

Tags

CCSS.6.SP.B.5C

Front

How do you calculate the range of a dataset?

Back

The range is calculated by subtracting the smallest value from the largest value in the dataset.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What does Q1 represent in a box plot?

Back

Q1, or the first quartile, represents the value below which 25% of the data falls.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What does Q3 represent in a box plot?

Back

Q3, or the third quartile, represents the value below which 75% of the data falls.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between Q3 and Q1, representing the range of the middle 50% of the data.

Tags

CCSS.6.SP.B.5C

Front

How can you identify outliers in a box plot?

Back

Outliers can be identified as values that fall below Q1 - 1.5*IQR or above Q3 + 1.5*IQR.

Front

What is the significance of the median in a box plot?

Back

The median is the middle value of the dataset and provides a measure of central tendency that is less affected by outliers.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4