Question

the number of bus riders was recorded on one route. the data have these values: minimum = 18, lower quartile = 22, median = 26, upper quartile = 29, and maximum = 37. which box plot represents the data?

Explanation:

Step1: Recall box - plot components

A box - plot has a minimum value (left - most point), lower quartile (\(Q_1\), left - end of the box), median (\(Q_2\), line inside the box), upper quartile (\(Q_3\), right - end of the box), and maximum value (right - most point).

Step2: Match values to box - plot

Given minimum \(=18\), lower quartile \(=22\), median \(=26\), upper quartile \(=29\), maximum \(=37\).
Check each box - plot:

• In a box - plot, the left - most dot (minimum) should be at \(18\), the left - end of the box (\(Q_1\)) at \(22\), the line inside the box (median) at \(26\), the right - end of the box (\(Q_3\)) at \(29\), and the right - most dot (maximum) at \(37\).

Answer:

The first box - plot (top - left one) represents the data as it has the minimum at \(18\), \(Q_1 = 22\), median \(=26\), \(Q_3=29\), and maximum \(=37\)