Exploring Skewness and Outliers in Box and Whisker Plots

This video tutorial introduces box and whisker plots, explaining how to draw them and identify key components like quartiles and outliers. It covers the concept of skewness, distinguishing between positive and negative skew, and demonstrates how to plot outliers using the interquartile range. The tutorial provides a comprehensive guide to understanding and creating box plots for data visualization.

What is the primary purpose of a box plot?

• To determine the mode of the dataset

• To calculate the mean of the data

• To provide a visual interpretation of data distribution

• To plot every individual data point

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

What does the first quartile in a box plot represent?

• The 25th percentile of the dataset

• The average value of the dataset

• The median of the dataset

• The maximum value of the dataset

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

In a box plot, what does the box represent?

• Distance between the first and third quartiles

• Total spread of all data points

• Range between the highest and lowest values

• Interquartile range of the data

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

How is the median represented in a box plot?

• As a separate whisker

• As the rightmost line of the box

• As the leftmost line of the box

• As the center value of the box

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

What is the interquartile range in a box plot?

• The distance between the median and the highest value

• The range between Q1 and Q3

• The range between the minimum and maximum values

• The total number of data points

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

What does a longer whisker on one side of the box plot indicate?

• Data is evenly spread

• All data values are identical

• Symmetrical distribution

• Potential skewness in the data

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1

What is positive skew in a box plot?

• When all values are above the median

• When the distance from Q3 to the median is greater than from the median to Q1

• When the lower quartile is larger than the upper quartile

• When the median is at the highest value

How do you calculate the lower boundary for outliers in a box plot?

• Median minus 1.5 times the interquartile range

• Maximum value minus 1.5 times the interquartile range

• Q3 plus 1.5 times the interquartile range

• Q1 minus 1.5 times the interquartile range

What defines an outlier in the context of box plots?

• Any value below the lower quartile

• Values 1.5 times the interquartile range above Q3 or below Q1

• Any value above the upper quartile

• The highest and lowest values in the dataset

Which of the following is a correct method to mark outliers on a box plot?

• Using a cross symbol

• Using a square symbol

• Using a circle symbol

• Using a triangle symbol

Tags

CCSS.6.SP.B.4

CCSS.HSS.ID.A.1