Questions: Given below is a data set: 57 24 31 37 32 27 45 37 34 57 24 32 56 33 20 49 45 29 35 26 31 39 32 44 20 21 44 31 35 31 Examine the data above by reviewing the stem-and-leaf plot. Here is the start of the plot. What are the missing values? 2# 00144679 3# 11112223455779 4# 44559 5#

Given below is a data set:

57 24 31 37 32
27 45 37 34 57
24 32 56 33 20
49 45 29 35 26
31 39 32 44 20
21 44 31 35 31

Examine the data above by reviewing the stem-and-leaf plot. Here is the start of the plot. What are the missing values?

2#  00144679
3#  11112223455779
4#  44559
5#
Transcript text: Given below is a data set: \begin{tabular}{|l|l|l|l|l|} \hline \hline 57 & 24 & 31 & 37 & 32 \\ \hline 27 & 45 & 37 & 34 & 57 \\ \hline 24 & 32 & 56 & 33 & 20 \\ \hline \hline 49 & 45 & 29 & 35 & 26 \\ \hline 31 & 39 & 32 & 44 & 20 \\ \hline 21 & 44 & 31 & 35 & 31 \\ \hline \end{tabular} Examine the data above by reviewing the stem-and-leaf plot. Here is the start of the plot. What are the missing values? 2\# | 00144679 3\# | 11112223455779 4\# | 44559 5\# | $\square$
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Solution

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What are the missing values in the stem-and-leaf plot? Construct the stem-and-leaf plot The stem-and-leaf plot is a way to represent the data by showing the frequency of each number. The stems are the tens digits, and the leaves are the ones digits. We read the numbers from the given data and put the ones digit as leaves corresponding to their tens digit stems. The given data is: \begin{tabular}{|l|l|l|l|l|} \hline \hline 57 & 24 & 31 & 37 & 32 \\ \hline 27 & 45 & 37 & 34 & 57 \\ \hline 24 & 32 & 56 & 33 & 20 \\ \hline \hline 49 & 45 & 29 & 35 & 26 \\ \hline 31 & 39 & 32 & 44 & 20 \\ \hline 21 & 44 & 31 & 35 & 31 \\ \hline \end{tabular} 2# | 0, 0, 1, 4, 4, 6, 7, 9 3# | 1, 1, 1, 2, 2, 3, 4, 5, 5, 7, 7, 9 4# | 4, 4, 5, 5, 9 5# | 6, 7, 7

Sorting the leaves in ascending order: 2# | 0, 0, 1, 4, 4, 6, 7, 9 3# | 1, 1, 1, 2, 2, 3, 4, 5, 5, 7, 7, 9 4# | 4, 4, 5, 5, 9 5# | 6, 7, 7 Fill the missing values The missing values are for the 5# stem. From the sorted stem-and-leaf plot, the missing values are 6, 7, 7.

\(\boxed{677}\)

677

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