Question

the following data are the daily round - trip distances to school (in km) for 30 randomly chosen students attending a community college in california. construct a stem - and - leaf display for the given data in the accompanying table. treat the ones digit as the leaves. for any single - digit data, use a stem of 0
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construct a stem - and - leaf d
(use a comma to separate a

Explanation:

Step1: Sort the data

First, sort the given data set: \(4,5,5,6,6,7,9,9,9,11,11,14,16,17,17,17,18,22,22,26,26,28,29,29,30,31,32,36,39,41,45\)

Step2: Determine stems

The stems will be the tens - digit of the numbers. For single - digit numbers (e.g., \(4,5,\cdots,9\)), the stem is \(0\). The stems are \(0,1,2,3,4\)

Step3: Determine leaves

For each number, the leaf is the units - digit.

• For stem \(0\): The leaves are \(4,5,5,6,6,7,9,9,9\)
• For stem \(1\): The leaves are \(1,1,4,6,7,7,7,8\)
• For stem \(2\): The leaves are \(2,2,6,6,8,9,9\)
• For stem \(3\): The leaves are \(0,1,2,6,9\)
• For stem \(4\): The leaves are \(1,5\)

Answer:

\(0\) \(\vert\) \(4,5,5,6,6,7,9,9,9\)
\(1\) \(\vert\) \(1,1,4,6,7,7,7,8\)
\(2\) \(\vert\) \(2,2,6,6,8,9,9\)
\(3\) \(\vert\) \(0,1,2,6,9\)
\(4\) \(\vert\) \(1,5\)