Box Plots

Front

What is a box plot?

Back

A box plot 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 interquartile range (IQR) represent?

Back

The interquartile range (IQR) represents the range of the middle 50% of the data, calculated as Q3 - Q1.

Tags

CCSS.6.SP.B.5C

Front

How do you calculate the IQR?

Back

To calculate the IQR, subtract the first quartile (Q1) from the third quartile (Q3): IQR = Q3 - Q1.

Tags

CCSS.6.SP.B.5C

Front

What is the median in a box plot?

Back

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

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

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.6.SP.B.4

CCSS.HSS.ID.A.1

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.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What percentage of data lies between Q1 and Q3?

Back

50% of the data lies between Q1 and Q3.

Tags

CCSS.6.SP.B.5C

Front

If a dataset has 60 values, how many values are greater than Q1?

Back

If Q1 is the first quartile, then 45 values are greater than Q1.

Tags

CCSS.6.SP.B.5C

Front

What is the range of a dataset?

Back

The range is the difference between the maximum and minimum values in the dataset.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

How can you identify outliers in a box plot?

Back

Outliers can be identified as points that lie outside 1.5 times the IQR above Q3 or below Q1.