Reading Boxplots

Front

What is a boxplot?

Back

A boxplot is a graphical representation of a dataset 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 median represent in a boxplot?

Back

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

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What are quartiles in a boxplot?

Back

Quartiles are values that divide a dataset into four equal parts. The first quartile (Q1) is the median of the lower half, the second quartile (Q2) is the median, and the third quartile (Q3) is the median of the upper half.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

How do you find the range of a dataset?

Back

The range is found by subtracting the smallest value from the largest value in the dataset.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does the upper quartile (Q3) indicate?

Back

The upper quartile (Q3) indicates the value below which 75% of the data falls.

Tags

CCSS.6.SP.B.5C

Front

What does the lower quartile (Q1) indicate?

Back

The lower quartile (Q1) indicates the value below which 25% of the data falls.

Tags

CCSS.6.SP.B.5C

Front

How can you identify outliers in a boxplot?

Back

Outliers can be identified as points that fall below Q1 - 1.5 * IQR or above Q3 + 1.5 * IQR, where IQR is the interquartile range (Q3 - Q1).

Front

What is the interquartile range (IQR)?

Back

The interquartile range (IQR) is the difference between the upper quartile (Q3) and the lower quartile (Q1), representing the middle 50% of the data.

Tags

CCSS.6.SP.B.5C

Front

What does a longer box in a boxplot indicate?

Back

A longer box indicates a greater spread of the middle 50% of the data, suggesting more variability.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

Front

What does a boxplot tell you about the symmetry of a dataset?

Back

The symmetry of a dataset can be assessed by comparing the lengths of the whiskers and the position of the median within the box.

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1