Exploring Box Plots

What is the purpose of a box plot?

• To compare two different datasets

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

• To show the mean value of a dataset

• To plot individual data points on a graph

What does the median represent in a box plot?

• The highest value of the dataset

• The middle value of the dataset

• The average value of the dataset

• The lowest value of the dataset

How is the lower quartile (Q1) determined in a box plot?

• It is the difference between the maximum and minimum values

• It is the median of the data from the median to the minimum

• It is the average of all the data points

• It is the median of the data from the median to the maximum

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

• The sum of Q1 and Q3

• The difference between Q3 and Q1

• The difference between the median and the minimum value

• The range of the entire dataset

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

• Calculating the interquartile range

• Drawing the box

• Identifying the median

• Arranging the data in ascending order

What does the dot represent in a box plot?

• The quartiles of the dataset

• The maximum or minimum value of the dataset

• The mean of the dataset

• The median of the dataset

How do you find the median in a dataset with an even number of values?

• By adding all values and dividing by the number of values

• By choosing the value in the middle

• By averaging the two middlemost numbers

• By subtracting the smallest value from the largest

What does the length of the box in a box plot indicate?

• The difference between the maximum and the median

• The range of the dataset

• The interquartile range of the dataset

• The total number of data points

In reading a box plot, if the median is closer to the lower quartile, what does it indicate about the distribution?

• It is skewed to the right

• It has outliers

• It is symmetric

• It is skewed to the left

What is the significance of the whiskers in a box and whisker plot?

• They highlight the mean of the dataset

• They show the interquartile range

• They represent the range of the dataset excluding outliers

• They indicate the median of the dataset