Box and Whisker Plots

Front

What is a box and whisker plot?

Back

A box and whisker plot is a graphical representation of a data set that displays its minimum, first quartile, median, third quartile, and maximum values.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the box in a box and whisker plot represent?

Back

The box represents the interquartile range (IQR), which contains the middle 50% of the data.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What do the whiskers in a box and whisker plot indicate?

Back

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

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

How do you find the median in a data set?

Back

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

Tags

CCSS.6.SP.B.5C

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), representing the range of the middle 50% of the data.

Tags

CCSS.6.SP.B.5C

Front

How do you calculate the range of a data set?

Back

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

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does a higher IQR indicate about a data set?

Back

A higher IQR indicates that the data is more spread out, showing greater variability among the middle 50% of the data.

Tags

CCSS.6.SP.B.5C

Front

What is the significance of the upper extreme in a box and whisker plot?

Back

The upper extreme represents the maximum value in the data set, which is the highest data point that is not considered an outlier.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What is an outlier in the context of box and whisker plots?

Back

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

Front

How can you identify the median from a box and whisker plot?

Back

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

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1