Chief Justices' Term Data Analysis

The video tutorial covers the creation and interpretation of box plots, using the tenure of Supreme Court Chief Justices as a data set. It explains how to find the median, create a box plot, and analyze the distribution of data. The tutorial also compares the median to the midpoint of the data range, highlighting differences in data interpretation.

What is the primary purpose of a box plot?

• To show the distribution of data based on a five-number summary.

• To display the frequency of data points.

• To compare two different data sets.

• To calculate the mean of a data set.

Who served the longest term as Chief Justice?

• John Rutledge

• John Marshall

• Earl Warren

• William Rehnquist

How many years did John Rutledge serve as Chief Justice?

• 34 years

• 10 years

• 5 years

• 1 year

What is the median number of years served by the Chief Justices?

• 20 years

• 15 years

• 11 years

• 10 years

How do you find the median in a data set?

• By finding the middle number in an ordered list.

• By averaging all the numbers.

• By subtracting the smallest number from the largest.

• By identifying the most frequent number.

What is the lower quartile (Q1) in the Chief Justices' term data?

• 6.5 years

• 34 years

• 11 years

• 18 years

What does the IQR represent in a box plot?

• The difference between the maximum and minimum values.

• The average of all data points.

• The range of the entire data set.

• The range of the middle 50% of the data.

What is the shape of the distribution in the Chief Justices' term data?

• Symmetrical

• Uniform

• Skewed left

• Skewed right

Is the median term length halfway between the minimum and maximum term lengths?

• No, because the median is 11 years, not 16.5 years.

• Yes, it is always halfway.

• No, because the median is always the average.

• Yes, because the data is symmetrical.

What is the maximum term length served by a Chief Justice?

• 11 years

• 18 years

• 34 years

• 1 year