Question

a snowstorm hit dane county. a weatherman reported how many inches of snow each city in the area received. which box plot represents the data? snowfall (in.) 4 3 6 5 4 5 7 6 5 3

Explanation:

Step1: Sort the data

Sort the snowfall data \(3,3,4,4,5,5,5,6,6,7\) in ascending order.

Step2: Find the minimum, maximum, median, lower quartile, and upper quartile

• Minimum: \(3\)
• Maximum: \(7\)
• Median (\(Q_2\)): For \(n = 10\) data points, \(Q_2=\frac{5 + 5}{2}=5\)
• Lower half: \(3,3,4,4,5\), so \(Q_1 = 4\)
• Upper half: \(5,6,6,7\), so \(Q_3=6\)

Step3: Analyze the box - plots

• The left - hand whisker should start at \(3\), the right - hand whisker at \(7\)
• The box should span from \(4\) (\(Q_1\)) to \(6\) (\(Q_3\)) with a line at \(5\) (\(Q_2\))

Answer:

The box - plot on the right represents the data.