Exploring Box Plots in 6th Grade Math

What is the primary purpose of a box plot in data analysis?

• To calculate the mean of the data

• To display data distribution using five key numbers

• To determine the mode of the data

• To plot every individual data point

What does the median represent in a box plot?

• The average value of the dataset

• The middle value of the dataset

• The most frequent value in the dataset

• The total sum of all data points

In a box plot, what does Q1 represent?

• The median of the lower half of the data

• The maximum data value

• The median of the upper half of the data

• The minimum data value

How is the interquartile range (IQR) calculated from a box plot?

• Median plus Q1

• Q1 plus Q3

• Maximum minus minimum

• Q3 minus Q1

What is the first step in creating a box plot from a dataset?

• Sorting the data from least to greatest

• Finding the median

• Calculating the quartiles

• Identifying the maximum and minimum

Which value is used to start drawing the box in a box plot?

• The median

• Q1

• The maximum

• The minimum

What error did the teacher make while explaining the box plot in the first example?

• Incorrectly identified the median

• Mislabelled the maximum value

• Forgot to label Q1 and Q3

• Used incorrect data points

How is the median visually represented in a box plot?

• As the rightmost line

• As the leftmost line

• As a dot

• As a vertical line inside the box

What does the range of a dataset tell you?

• The difference between Q1 and Q3

• The difference between the maximum and minimum values

• The average value of the dataset

• The frequency of the median

Which quartile in the box plot represents the greatest spread in the data?

• The third quartile

• The second quartile

• The fourth quartile

• The first quartile