Questions: Here is a data set: 61 66 64 59 63 65 74 75 61 57 69 79 61 72 66 74 60 62 72 55 You are examining the data with an expanded stem-and-leaf plot. Here is the start of the plot: 5# 579 6# 0111234 6# 5669 7# 7# What should be entered in the last row of this table?

Here is a data set: 61 66 64 59 63 65 74 75 61 57 69 79 61 72 66 74 60 62 72 55 You are examining the data with an expanded stem-and-leaf plot. Here is the start of the plot: 5# 579 6# 0111234 6# 5669 7# 7# What should be entered in the last row of this table?
Transcript text: Here is a data set: \begin{tabular}{|l|l|l|l|l|} \hline 61 & 66 & 64 & 59 & 63 \\ \hline 65 & 74 & 75 & 61 & 57 \\ \hline 69 & 79 & 61 & 72 & 66 \\ \hline 74 & 60 & 62 & 72 & 55 \\ \hline \end{tabular} You are examining the data with an expanded stem-and-leaf plot. Here is the start of the plot: \[ \begin{array}{l|l} \text { 5\# } & \mid 579 \\ 6 \# & 0111234 \\ 6 \# & 5669 \\ 7 \# & \\ 7 \# & \end{array} \] What should be entered in the last row of this table?
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Solution

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Solution Steps

To complete the expanded stem-and-leaf plot, we need to identify the numbers in the 70s range from the given data set and then split them into two groups: those from 70 to 74 and those from 75 to 79. We will then place these numbers in the appropriate rows of the plot.

Solution Approach
  1. Extract all numbers in the 70s range from the data set.
  2. Separate these numbers into two groups: 70-74 and 75-79.
  3. Place the numbers in the corresponding rows of the stem-and-leaf plot.
Step 1: Extract Numbers in the 70s Range

From the given data set: \[ \begin{array}{|l|l|l|l|l|} \hline 61 & 66 & 64 & 59 & 63 \\ \hline 65 & 74 & 75 & 61 & 57 \\ \hline 69 & 79 & 61 & 72 & 66 \\ \hline 74 & 60 & 62 & 72 & 55 \\ \hline \end{array} \] we extract the numbers in the 70s range: \(74, 75, 79, 72, 74, 72\).

Step 2: Separate Numbers into Two Groups

We separate these numbers into two groups:

  • Group 70-74: \(72, 72, 74, 74\)
  • Group 75-79: \(75, 79\)
Step 3: Place Numbers in the Stem-and-Leaf Plot

We place the numbers in the corresponding rows of the stem-and-leaf plot: \[ \begin{array}{l|l} \text{5\#} & \mid 579 \\ 6\# & 0111234 \\ 6\# & 5669 \\ 7\# & 2274 \\ 7\# & 59 \\ \end{array} \]

Final Answer

The completed stem-and-leaf plot is: \[ \begin{array}{l|l} \text{5\#} & \mid 579 \\ 6\# & 0111234 \\ 6\# & 5669 \\ 7\# & 2274 \\ 7\# & 59 \\ \end{array} \]

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