Comparing Interquartile Range with Box Plots

The video tutorial explains how to compare the interquartile range of two populations using box plots. It covers the steps to find the median, calculate the five-number summary, and interpret box plots. The tutorial also discusses making inferences from the data, highlighting the presence of outliers and comparing the performance of two classes based on their test scores.

What is the first step in finding the median of a data set?

• Eliminate data using a pattern

• Find the mean of the data

• Put the data in numerical order

• Identify the highest number

For Class A, what is the median test score?

• 60

• 70

• 80

• 90

How do you calculate the third quartile (Q3) for Class B?

• Add the highest and lowest numbers

• Find the median of the lower half

• Average the two middle numbers

• Subtract Q1 from Q3

What does the line in the middle of a box plot represent?

• The range

• The median

• The mode

• The mean

In a box plot, what do the lines extending from the box indicate?

• The mean and median

• The lower and upper extremes

• The first and third quartiles

• The interquartile range

What is considered an outlier in Class A's data?

• The number 70

• The number 95

• The number 20

• The number 50

Which class has a higher median score, and what does it imply?

• Class A, indicating more students scored below 80

• Class B, indicating more students scored below 80

• Class B, indicating more students scored above 80

• Class A, indicating more students scored above 80