Finding Range and IQR from Box Plots

In this video, Mr. Jay explains how to find the range and interquartile range (IQR) from a box plot. The range is the difference between the highest and lowest values in a data set, while the IQR represents the spread of the middle 50% of the data. Using a box plot example of hours spent on homework by college students, Mr. Jay demonstrates how to calculate both the range and IQR. The range is found by subtracting the minimum value from the maximum value, and the IQR is determined by subtracting the first quartile from the third quartile. The video concludes with a summary of these calculations.

What does the range in a dataset represent?

• The middle 50% of the data

• The sum of all data points

• The average value of the dataset

• The difference between the highest and lowest values

How is the range calculated from a box plot?

• Subtracting the third quartile from the first quartile

• Adding the maximum and minimum values

• Subtracting the minimum value from the maximum value

• Finding the average of all data points

Which value represents the maximum in the provided dataset?

• 18 hours

• 9 hours

• 4 hours

• 16 hours

What is the minimum value in the dataset as shown in the box plot?

• 4 hours

• 9 hours

• 14 hours

• 18 hours

What is the calculated range of the dataset?

• 10 hours

• 14 hours

• 7 hours

• 12 hours

What is the interquartile range (IQR) in a dataset?

• The difference between the mean and median

• The range of the entire dataset

• The sum of the first and third quartiles

• The range of the middle 50% of the data

How do you find the interquartile range using a box plot?

• Adding the first and third quartiles

• Multiplying the first quartile by the third quartile

• Subtracting the minimum from the maximum

• Subtracting the first quartile from the third quartile

What does the interquartile range tell us about a dataset?

• The spread of the middle 50% of the data

• The total spread of the data

• The average value of the data

• The variability of the lowest 25% of data

What is the value of the third quartile in the dataset?

• 9 hours

• 16 hours

• 18 hours

• 7 hours

What is the value of the first quartile in the dataset?

• 16 hours

• 7 hours

• 4 hours

• 9 hours