Understanding Box Plots and Quartiles

The video tutorial explains the five number summary, which includes the minimum, first quartile, median, third quartile, and maximum. It demonstrates how to calculate these values and use them to construct a box plot. The tutorial also covers identifying outliers using the interquartile range (IQR) and creating a modified box plot to represent outliers. The process involves ordering data, finding medians, and using the IQR to determine outliers.

What are the components of the five number summary?

• First quartile, median, third quartile, mean, and mode

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

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

• Minimum, maximum, mean, mode, and range

How do you find the median in an even data set?

• By choosing the smallest number

• By averaging the two middle numbers

• By selecting the largest number

• By finding the mode

What is the maximum value in the given data set?

• 3.5

• 10

• 0

• 5

What is the median of the lower half of the data called?

• Minimum

• Median

• Q3

• Q1

What is the interquartile range (IQR)?

• The difference between Q3 and Q1

• The sum of all data points

• The average of all data points

• The difference between the maximum and minimum

How can you identify an outlier using the IQR?

• If it is greater than the maximum

• If it is more than the mean

• If it is less than Q1 minus 1.5 times the IQR or greater than Q3 plus 1.5 times the IQR

• If it is less than the median

What is the purpose of a box plot?

• To display the mean and standard deviation

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

• To calculate the mode

• To find the range of the data

In a modified box plot, how is an outlier represented?

• As a square

• As a dot

• As a triangle

• As a star

What is the lower fence for identifying outliers in this data set?

• -2.5

• 0

• 9.5

• 3

What is the upper fence for identifying outliers in this data set?

• 3.5

• 5

• 9.5

• 10