To complete the grouped frequency distribution for the hottest recorded temperatures, we'll follow these steps:
1. List Temperatures and Class Intervals:
- The recorded temperatures are: 113, 104, 117, 103, 116, 108, 113, and 110.
- The class intervals given are:
- 103 to 107
- 108 to 112
- 113 to 117
2. Count the Frequency for Each Class Interval:
- For the class interval 103 to 107:
- We need to count how many temperatures fall between 103 and 107, inclusive.
- Temperatures in this range: 104 and 103.
- So, there are 2 temperatures in this class.
- For the class interval 108 to 112:
- We need to count how many temperatures fall between 108 and 112, inclusive.
- Temperatures in this range: 108 and 110.
- So, there are 2 temperatures in this class.
- For the class interval 113 to 117:
- We need to count how many temperatures fall between 113 and 117, inclusive.
- Temperatures in this range: 113, 117, 116, and 113.
- So, there are 4 temperatures in this class.
3. Complete the Frequency Distribution Table:
[tex]\[
\begin{array}{|c|c|}
\hline
\begin{tabular}{l}
Temperature \\
(in { }^{\circ}\text{F})
\end{tabular} & \text{Frequency} \\
\hline
103 \text{ to } 107 & 2 \\
\hline
108 \text{ to } 112 & 2 \\
\hline
113 \text{ to } 117 & 4 \\
\hline
\end{array}
\][/tex]
Thus, the grouped frequency distribution for the data is:
- 103 to 107: Frequency = 2
- 108 to 112: Frequency = 2
- 113 to 117: Frequency = 4
