Exploring Box and Whisker Plots

What is the primary purpose of a box and whisker plot?

• To determine the mode of the dataset

• To calculate the mean of the data

• To plot the data points on a graph

• To display data distribution using a five number summary

What does the median represent in a box and whisker plot?

• The difference between the highest and lowest values

• The middle value of the dataset when ordered

• The average value of the dataset

• The most frequently occurring number

How is the lower quartile determined in a dataset?

• By finding the median of the entire dataset

• By subtracting the minimum from the maximum value

• By finding the median of the upper half of the data

• By finding the median of the lower half of the data

What does the interquartile range (IQR) measure in a box plot?

• The total range of the data

• The frequency of the data points

• The spread of the middle 50% of the data

• The average value of the data

What is the correct way to calculate the range of a dataset?

• Subtract the median from the maximum value

• Subtract the minimum value from the maximum value

• Add the highest and lowest values and divide by two

• Find the average of all data points

Which value is represented at the end of the right whisker in a box plot?

• The median

• The upper quartile

• The lower quartile

• The maximum value

In a box plot, what does the box itself represent?

• The median of the data

• The total number of data points

• The interquartile range

• The range of all data points

What does the upper quartile in a box plot represent?

• The median of the upper half of the data

• The maximum value of the dataset

• The median of the entire dataset

• The minimum value of the dataset

What does a longer left whisker in a box plot indicate about the data distribution?

• It has no skew

• It is skewed left

• It is symmetric

• It is skewed right

If the right whisker is longer than the left in a box plot, the data is:

• Skewed left

• Symmetric

• Skewed right

• Uniformly distributed