Exploring the Five Number Summary and Boxplots

What does the five number summary include?

• Mean, median, mode, range, and standard deviation

• Minimum, first quartile, median, third quartile, and maximum

• Minimum, median, mean, mode, and maximum

• First quartile, median, third quartile, interquartile range, and outliers

What percentage of data values are below the median?

• 25%

• 75%

• 100%

• 50%

How is the first quartile (Q1) defined?

• The difference between the maximum and minimum values

• The median of the top half of the data

• The median of the bottom half of the data

• The average of all data points

What is the median value in the provided data set?

• 33

• 36

• 25

• 59

What does a box plot visually represent?

• The number of outliers in a data set

• The total range of the data set

• The five number summary of a data set

• The mean and standard deviation of a data set

What is the role of whiskers in a box plot?

• To display the minimum and maximum values within the data set

• To represent the interquartile range

• To show the range of the data excluding outliers

• To indicate the mean and median

What does the interquartile range represent?

• The range between the first and third quartiles

• The range between the minimum and the median value

• The range between the median and the maximum value

• The total range of the data set

How can outliers be mathematically identified in a data set?

• Values less than Q1 - 1.5*IQR or greater than Q3 + 1.5*IQR

• Values outside the range of Q1 and Q3

• Values that are more than twice the median

• Values that are not within the interquartile range

In a modified box plot, how are outliers represented?

• With a different color box

• As dots outside the whiskers

• By extending the whiskers

• By increasing the width of the box

What is the new maximum value in the data set after identifying outliers?

• 25

• 33

• 50

• 59