Box and whisker plots

Front

What is a box and whisker plot?

Back

A 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.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 is the range between the first quartile (Q1) and the third quartile (Q3). It contains the middle 50% of the data.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What are whiskers in a box and whisker plot?

Back

Whiskers are the lines that extend from the box to the minimum and maximum values of the dataset, excluding outliers.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

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 is the first quartile (Q1)?

Back

The first quartile (Q1) is the median of the lower half of the dataset, representing the 25th percentile.

Tags

CCSS.6.SP.B.5C

Front

What is the third quartile (Q3)?

Back

The third quartile (Q3) is the median of the upper half of the dataset, representing the 75th percentile.

Tags

CCSS.6.SP.B.5C

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1), indicating the spread of the middle 50% of the data.

Tags

CCSS.6.SP.B.5C

Front

How do you identify outliers in a box and whisker plot?

Back

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

Front

What does a higher median indicate about a dataset?

Back

A higher median indicates that the central tendency of the dataset is higher, suggesting that more values are concentrated at the higher end.

Tags

CCSS.6.SP.A.2

Front

What percentage of data lies between Q1 and Q3?

Back

50% of the data lies between the first quartile (Q1) and the third quartile (Q3).

Tags

CCSS.6.SP.B.5C