Question

between which two values would 75% of the data represented on a box plot lie? choose two correct answers. the median and the upper quartile the lower quartile and the maximum the minimum and the maximum the minimum and the upper quartile the lower quartile and the upper quartile the median and the maximum

Explanation:

• A box - plot divides the data into four quartiles. Each quartile represents 25% of the data.
• The lower quartile (\(Q_1\)) is the 25th percentile, the median (\(Q_2\)) is the 50th percentile, and the upper quartile (\(Q_3\)) is the 75th percentile.
• The range from the minimum value to the upper quartile (\(Q_3\)) covers \(75\%\) of the data (\(25\%\) in the first quartile and \(50\%\) in the middle two quartiles).
• The range from the lower quartile (\(Q_1\)) to the maximum value also covers \(75\%\) of the data (\(50\%\) in the middle two quartiles and \(25\%\) in the last quartile).

Answer:

• the lower quartile and the maximum
• the minimum and the upper quartile