Box and Whisker Plot

Front

What is a Box and Whisker Plot?

Back

A Box and Whisker Plot is a graphical representation of a data set that displays the median, quartiles, and potential outliers. It shows the distribution of the data based on a five-number summary: minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

How do you find the median of a data set?

Back

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

Tags

CCSS.6.SP.B.5C

Front

What does the interquartile range (IQR) represent?

Back

The interquartile range (IQR) represents the range of the middle 50% of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1): IQR = Q3 - Q1.

Tags

CCSS.6.SP.B.5C

Front

What is the significance of the first quartile (Q1) in a Box and Whisker Plot?

Back

The first quartile (Q1) is the value below which 25% of the data fall. It marks the lower boundary of the middle 50% of the data.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

What is the significance of the third quartile (Q3) in a Box and Whisker Plot?

Back

The third quartile (Q3) is the value below which 75% of the data fall. It marks the upper boundary of the middle 50% of the data.

Tags

CCSS.HSS.ID.A.1

CCSS.6.SP.B.4

Front

How do you identify outliers in a Box and Whisker Plot?

Back

Outliers can be identified using the IQR. Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Front

What does the median represent in a data set?

Back

The median represents the middle value of a data set when it is ordered. It divides the data into two equal halves.

Tags

CCSS.6.SP.B.5C

Front

What is the range of a data set?

Back

The range is the difference between the maximum and minimum values in a data set. It provides a measure of how spread out the values are.

Tags

CCSS.6.SP.A.3

Front

How do you calculate the interquartile range (IQR)?

Back

To calculate the IQR, first find Q1 and Q3. Then, subtract Q1 from Q3: IQR = Q3 - Q1.

Tags

CCSS.6.SP.B.5C

Front

What does it mean if a value is NOT in the middle 50% of data values?

Back

If a value is NOT in the middle 50% of data values, it means that it is either below Q1 or above Q3, indicating that it is an outlier or part of the lower or upper quartile.

Tags

CCSS.6.SP.B.5C