Answer :
Let's complete the grouped frequency distribution for the given data. Here's how you can determine the frequency for each class interval:
1. Understand the class intervals:
- 94.5 to 100.5
- 100.5 to 106.5
- 106.5 to 112.5
- 112.5 to 118.5
2. Data points provided:
We have the weights in kilograms as follows:
94.5, 95, 96, 97.1, 99, 100, 101, 102, 104, 106, 107, 108, 109, 110, 111, 112, 113, 115, 116, 118
3. Determine the frequency for each class interval:
- 94.5 to 100.5:
Count the numbers that are equal to or greater than 94.5 and less than 100.5.
The data points in this range are 94.5, 95, 96, 97.1, 99, 100, totaling to 6.
- 100.5 to 106.5:
Count the numbers that are equal to or greater than 100.5 and less than 106.5.
The data points in this range are 101, 102, 104, 106, totaling to 4.
- 106.5 to 112.5:
Count the numbers that are equal to or greater than 106.5 and less than 112.5.
The data points in this range are 107, 108, 109, 110, 111, 112, totaling to 6.
- 112.5 to 118.5:
Count the numbers that are equal to or greater than 112.5 and less than 118.5.
The data points in this range are 113, 115, 116, 118, totaling to 4.
4. Complete the table:
```
\begin{tabular}{|cc|}
\hline
Weights (in kilograms) & Frequency \\
\hline
94.5 to 100.5 & 6 \\
100.5 to 106.5 & 4 \\
106.5 to 112.5 & 6 \\
112.5 to 118.5 & 4 \\
\hline
\end{tabular}
```
This method breaks down how to count the data points within each class interval to fill in the table accurately.
1. Understand the class intervals:
- 94.5 to 100.5
- 100.5 to 106.5
- 106.5 to 112.5
- 112.5 to 118.5
2. Data points provided:
We have the weights in kilograms as follows:
94.5, 95, 96, 97.1, 99, 100, 101, 102, 104, 106, 107, 108, 109, 110, 111, 112, 113, 115, 116, 118
3. Determine the frequency for each class interval:
- 94.5 to 100.5:
Count the numbers that are equal to or greater than 94.5 and less than 100.5.
The data points in this range are 94.5, 95, 96, 97.1, 99, 100, totaling to 6.
- 100.5 to 106.5:
Count the numbers that are equal to or greater than 100.5 and less than 106.5.
The data points in this range are 101, 102, 104, 106, totaling to 4.
- 106.5 to 112.5:
Count the numbers that are equal to or greater than 106.5 and less than 112.5.
The data points in this range are 107, 108, 109, 110, 111, 112, totaling to 6.
- 112.5 to 118.5:
Count the numbers that are equal to or greater than 112.5 and less than 118.5.
The data points in this range are 113, 115, 116, 118, totaling to 4.
4. Complete the table:
```
\begin{tabular}{|cc|}
\hline
Weights (in kilograms) & Frequency \\
\hline
94.5 to 100.5 & 6 \\
100.5 to 106.5 & 4 \\
106.5 to 112.5 & 6 \\
112.5 to 118.5 & 4 \\
\hline
\end{tabular}
```
This method breaks down how to count the data points within each class interval to fill in the table accurately.
