Answer :
Let's interpret the given stem-and-leaf plot to identify the actual data entries. Here's the plot:
[tex]\[ \begin{array}{l} 218 = 28 \\ 8 \\ 4 \\ 1335778 \\ 0112333444456689 \\ 888 \\ 388 \\ 5 \end{array} \][/tex]
### Steps to interpret the stem-and-leaf plot:
1. Combine each stem with its leaves:
- Stem "2" with leaves "8" forms the number "28".
- Stem "3" with leaves "4" forms the number "34".
- Stem "4" with leaves "1, 3, 3, 5, 7, 7, 8" forms the numbers "41, 43, 43, 45, 47, 47, 48".
- Stem "5" with leaves "0, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 8, 9" forms the numbers "50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59".
- Stem "6" with leaves "8, 8, 8" forms the numbers "68, 68, 68".
- Stem "7" with leaves "3, 8, 8" forms the numbers "73, 78, 78".
- Stem "8" with leaves "5" forms the number "85".
2. List all data entries:
[tex]\[ [28, 34, 41, 43, 43, 45, 47, 47, 48, 50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59, 68, 68, 68, 73, 78, 78, 85] \][/tex]
### Determine the maximum and minimum data entries:
- Maximum data entry: The largest entry from the list is "85".
- Minimum data entry: The smallest entry from the list is "28".
### Answer selection:
After matching our entries with the given options:
[tex]\[ \begin{array}{l} \text{Option A: } 28, 3.4, 4.1, 4.3, 4.3, 4.5, 4.7, 4.7, 4.8, 5.0, 5.1, 5.1, 5.2, 5.3, 5.3, 5.3, 5.4, 5.4, 5.4, 5.4, 5.5, 5.6, 5.6, 5.8, 5.9, 6.8, 6.8, 6.8, 7.3, 7.8, 7.8, 8.5 \\ \text{Option B: } 28, 34, 41, 43, 45, 47, 48, 50, 51, 52, 53, 54, 55, 56, 58, 59, 68, 73, 78, 85 \\ \text{Option C: } 28, 34, 41, 43, 43, 45, 47, 47, 48, 50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59, 68, 68, 68, 73, 78, 78, 85 \\ \text{Option D: } 2.8, 3.4, 4.1, 4.3, 4.5, 4.7, .4, .8, 5.0, 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.8, 5.9, .6, .8, 7.3, 7.8, 8.5 \end{array} \][/tex]
The correct actual data entries are in Option C.
[tex]\[ \text{Maximum data entry is: } 85 \][/tex]
[tex]\[ \text{Minimum data entry is: } 28 \][/tex]
[tex]\[ \begin{array}{l} 218 = 28 \\ 8 \\ 4 \\ 1335778 \\ 0112333444456689 \\ 888 \\ 388 \\ 5 \end{array} \][/tex]
### Steps to interpret the stem-and-leaf plot:
1. Combine each stem with its leaves:
- Stem "2" with leaves "8" forms the number "28".
- Stem "3" with leaves "4" forms the number "34".
- Stem "4" with leaves "1, 3, 3, 5, 7, 7, 8" forms the numbers "41, 43, 43, 45, 47, 47, 48".
- Stem "5" with leaves "0, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4, 5, 6, 6, 8, 9" forms the numbers "50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59".
- Stem "6" with leaves "8, 8, 8" forms the numbers "68, 68, 68".
- Stem "7" with leaves "3, 8, 8" forms the numbers "73, 78, 78".
- Stem "8" with leaves "5" forms the number "85".
2. List all data entries:
[tex]\[ [28, 34, 41, 43, 43, 45, 47, 47, 48, 50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59, 68, 68, 68, 73, 78, 78, 85] \][/tex]
### Determine the maximum and minimum data entries:
- Maximum data entry: The largest entry from the list is "85".
- Minimum data entry: The smallest entry from the list is "28".
### Answer selection:
After matching our entries with the given options:
[tex]\[ \begin{array}{l} \text{Option A: } 28, 3.4, 4.1, 4.3, 4.3, 4.5, 4.7, 4.7, 4.8, 5.0, 5.1, 5.1, 5.2, 5.3, 5.3, 5.3, 5.4, 5.4, 5.4, 5.4, 5.5, 5.6, 5.6, 5.8, 5.9, 6.8, 6.8, 6.8, 7.3, 7.8, 7.8, 8.5 \\ \text{Option B: } 28, 34, 41, 43, 45, 47, 48, 50, 51, 52, 53, 54, 55, 56, 58, 59, 68, 73, 78, 85 \\ \text{Option C: } 28, 34, 41, 43, 43, 45, 47, 47, 48, 50, 51, 51, 52, 53, 53, 53, 54, 54, 54, 54, 55, 56, 56, 58, 59, 68, 68, 68, 73, 78, 78, 85 \\ \text{Option D: } 2.8, 3.4, 4.1, 4.3, 4.5, 4.7, .4, .8, 5.0, 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.8, 5.9, .6, .8, 7.3, 7.8, 8.5 \end{array} \][/tex]
The correct actual data entries are in Option C.
[tex]\[ \text{Maximum data entry is: } 85 \][/tex]
[tex]\[ \text{Minimum data entry is: } 28 \][/tex]
