Question

math test scores
which of the following lists the lower quartile, median, and upper quartile (in that order)?

67, 78, 100
67, 78, 92
55, 78, 100
92, 78, 67

Explanation:

⚡ Using what you learned: displaying data: histograms & box plots

Step 1: Identify the Lower Quartile (\(Q_1\))

The lower quartile (\(Q_1\)) is represented by the left edge of the box in a box plot. Looking at the scale:

• The left edge of the box lies between \(60\) and \(70\), slightly past the middle, at approximately \(67\).

Step 2: Identify the Median (\(Q_2\))

The median is represented by the vertical line inside the box. Looking at the scale:

• The line inside the box lies between \(70\) and \(80\), close to \(80\), at approximately \(78\).

Step 3: Identify the Upper Quartile (\(Q_3\))

The upper quartile (\(Q_3\)) is represented by the right edge of the box. Looking at the scale:

• The right edge of the box lies just past \(90\), at approximately \(92\).

Answer:

\(67, 78, 92\)