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 shows its minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the lower quartile (Q1) represent in a Box and Whisker Plot?

Back

The lower quartile (Q1) represents the median of the lower half of the data set, meaning 25% of the data points are below this value.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the upper quartile (Q3) represent in a Box and Whisker Plot?

Back

The upper quartile (Q3) represents the median of the upper half of the data set, meaning 75% of the data points are below this value.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What is the median in a Box and Whisker Plot?

Back

The median is the middle value of the data set when it is ordered from least to greatest, dividing the data into two equal halves.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

How do you find the interquartile range (IQR)?

Back

The interquartile range (IQR) is found by subtracting the lower quartile (Q1) from the upper quartile (Q3): IQR = Q3 - Q1.

Tags

CCSS.6.SP.B.5C

Front

What does a larger interquartile range (IQR) indicate?

Back

A larger interquartile range (IQR) indicates a greater spread of the middle 50% of the data points.

Tags

CCSS.6.SP.B.5C

Front

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

Back

The whiskers in a Box and Whisker Plot extend from the quartiles to the minimum and maximum values, showing the range of the data.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

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

Front

What is the significance of the minimum and maximum in a Box and Whisker Plot?

Back

The minimum and maximum values show the lowest and highest data points in the set, providing context for the overall range.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

If the median is 62, what does this tell you about the data set?

Back

If the median is 62, it means that half of the data points are below 62 and half are above 62.

Tags

CCSS.6.SP.B.5C