Question

The following data give the one-way commuting times (in minutes) from home to work for a random sample of 50 workers.23173426183346421237441522192832183940481611824182631730151822293230211914263725362339424629172431Construct a stem-and-leaf display for these data. Arrange the leaves for each stem in increasing order. Type only digits (without spaces, commas, etc).0Enter you answer; stem=0 1Enter you answer; stem=1 2Enter you answer; stem=2 3Enter you answer; stem=3 4Enter you answer; stem=4

Answer 1

In a stem-and-leaf display, for values with two digits, we write the first digit of a number in the first column, and the second digit of all the numbers starting with the same digit in the corresponding row in the second column.

First, ordering in ascending order, we obtain the sequence:

`\begin{gathered} 7,8,11,12,14,15,15,16,17,17,18,18,18,18,19,19,21,22,22,23,23,24,24,25,26,26,26, \\ \\ 28,29,29,30,30,31,31,32,32,33,34,36,37,37,39,39,40,42,42,44,46,46,48 \end{gathered}`

Now, grouping the values with the same first digit, we can construct the following stem-and-leaf display:

Steam Leaf

0 7 8

1 1 2 4 5 5 6 7 7 8 8 8 8 9 9

2 1 2 2 3 3 4 4 5 6 6 6 8 9 9

3 0 0 1 1 2 2 3 4 6 7 7 9 9

4 0 2 2 4 6 6 8