Exploring Box Plots

What is the primary purpose of a box plot?

• To identify outliers in the dataset

• To calculate the mean of the dataset

• To visualize the distribution and spread of data

• To show the frequency of data points

What does the median represent in a box plot?

• The highest value in the dataset

• The total sum of all data points

• The average value of the dataset

• The middle value of the dataset when ordered

How is the interquartile range (IQR) calculated?

• Maximum value minus the minimum value

• Third quartile (Q3) minus the first quartile (Q1)

• Median of the upper half minus median of the lower half

• Sum of all quartiles divided by four

What does the minimum value in a box plot indicate?

• The middle value of the dataset

• The highest value in the dataset

• The lowest value in the dataset

• The average value of the dataset

In creating a box plot, what is the first step?

• Ordering the data from least to greatest

• Drawing the box

• Calculating the median

• Identifying the maximum value

What does the right whisker in a box plot represent?

• The third quartile

• The first quartile

• The median of the dataset

• The maximum value in the dataset

How can you interpret the spread of data from a box plot?

• By the length of the whiskers

• By the size of the box

• By the position of the median

• Both A and B

What does a longer whisker on one side of the box plot indicate?

• A larger interquartile range

• More outliers on that side

• Greater variability on that side of the median

• Higher frequency of data points

Why are box plots preferred over dot plots for certain datasets?

• They show each individual data point

• They calculate the mean automatically

• They provide a clearer view of the dataset's spread

• They are easier to draw

What is the significance of the interquartile range in a box plot?

• It indicates the total range of the dataset

• It calculates the average value of the dataset

• It shows the range of the middle 50% of the data

• It represents the frequency of the data points