Math  /  Data & Statistics

QuestionHere is a data set: \begin{tabular}{|l|l|l|l|l|} \hline 56 & 31 & 49 & 59 & 31 \\ \hline \hline 30 & 41 & 41 & 68 & 33 \\ \hline \hline 43 & 35 & 38 & 40 & 46 \\ \hline \hline 63 & 47 & 47 & 45 & 40 \\ \hline \hline 35 & 46 & 58 & 47 & 51 \\ \hline \hline 63 & 43 & 52 & 45 & 38 \\ \hline \end{tabular}
You are examining the data with a stem-and-leaf plot. Here is the start of the plot. Finish the plot. 3#011355884#001133556677795#126896#335568\begin{array}{l|l} 3 \# \mid & 01135588 \\ 4 \# & 00113355667779 \\ 5 \# & 12689 \\ 6 \# & 335568 \end{array}

Studdy Solution

STEP 1

1. The data set is a collection of numerical values that can be represented using a stem-and-leaf plot.
2. The stem-and-leaf plot is a graphical representation where each number is split into a "stem" (the leading digit(s)) and a "leaf" (the trailing digit).
3. The given stem-and-leaf plot is partially completed, and our task is to finish it by including all the data points.

STEP 2

1. Extract and sort the data from the table.
2. Separate each data point into stems and leaves.
3. Add the leaves to the appropriate stems in the plot.
4. Ensure the plot is correctly formatted and complete.

STEP 3

Extract the data from the table and list all the numbers.
563149593130414168334335384046634747454035465847516343524538 \begin{array}{cccc} 56 & 31 & 49 & 59 & 31 \\ 30 & 41 & 41 & 68 & 33 \\ 43 & 35 & 38 & 40 & 46 \\ 63 & 47 & 47 & 45 & 40 \\ 35 & 46 & 58 & 47 & 51 \\ 63 & 43 & 52 & 45 & 38 \\ \end{array}

STEP 4

Sort the data in ascending order.
30,31,31,33,35,35,38,38,40,40,41,41,43,43,45,45,46,46,47,47,47,49,51,52,56,58,59,63,63,68 \begin{array}{cccccccccccccccccccccccccccccccccccccccccccccc} 30, 31, 31, 33, 35, 35, 38, 38, 40, 40, 41, 41, 43, 43, 45, 45, 46, 46, 47, 47, 47, 49, 51, 52, 56, 58, 59, 63, 63, 68 \\ \end{array}

STEP 5

Separate each sorted data point into stems (tens place) and leaves (units place).
Stems: 3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,6,6,6Leaves: 0,1,1,3,5,5,8,8,0,0,1,1,3,3,5,5,6,6,7,7,7,9,1,2,6,8,9,3,3,8 \text{Stems: } 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6 \\ \text{Leaves: } 0, 1, 1, 3, 5, 5, 8, 8, 0, 0, 1, 1, 3, 3, 5, 5, 6, 6, 7, 7, 7, 9, 1, 2, 6, 8, 9, 3, 3, 8

STEP 6

Add the leaves to the appropriate stems in the plot, ensuring proper formatting.
3#0113355884#001133556677795#126896#33568 \begin{array}{l|l} 3 \# \mid & 011335588 \\ 4 \# & 00113355667779 \\ 5 \# & 12689 \\ 6 \# & 33568 \\ \end{array}

STEP 7

Ensure the plot is correctly formatted and complete. Add any missing leaves.
3#0113355884#001133556677795#126896#335568 \begin{array}{l|l} 3 \# \mid & 011335588 \\ 4 \# & 00113355667779 \\ 5 \# & 12689 \\ 6 \# & 335568 \\ \end{array}
Solution: The completed stem-and-leaf plot is:
3#0113355884#001133556677795#126896#335568 \begin{array}{l|l} 3 \# \mid & 011335588 \\ 4 \# & 00113355667779 \\ 5 \# & 12689 \\ 6 \# & 335568 \\ \end{array}

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