College

A random sample of the body temperature of 25 young adults has the following distribution. Complete the table by filling in the cumulative frequency distribution.

[tex]
\[
\begin{tabular}{|c|c|c|}
\hline
\text{Temperature Group} & \text{Frequency} & \text{Cumulative Frequency} \\
\hline
96-96.2 & 1 & $\square$ \\
\hline
96.3-96.5 & 3 & $\square$ \\
\hline
96.6-96.8 & 2 & $\square$ \\
\hline
96.9-97.1 & 6 & $\square$ \\
\hline
97.2-97.4 & 3 & $\square$ \\
\hline
97.5-97.7 & 4 & $\square$ \\
\hline
97.8-98 & 4 & $\square$ \\
\hline
98.1-98.3 & 1 & $\square$ \\
\hline
98.4-98.6 & 1 & $\square$ \\
\hline
\end{tabular}
\]
[/tex]

Answer :

Sure! Let's complete the table by filling in the cumulative frequency distribution step-by-step.

1. Temperature Group: 96-96.2
- Frequency: 1
- Cumulative Frequency: 1 (since this is the first group)

2. Temperature Group: 96.3-96.5
- Frequency: 3
- Cumulative Frequency: 1 (from the previous group) + 3 = 4

3. Temperature Group: 96.6-96.8
- Frequency: 2
- Cumulative Frequency: 4 (from the previous group) + 2 = 6

4. Temperature Group: 96.9-97.1
- Frequency: 6
- Cumulative Frequency: 6 (from the previous group) + 6 = 12

5. Temperature Group: 97.2-97.4
- Frequency: 3
- Cumulative Frequency: 12 (from the previous group) + 3 = 15

6. Temperature Group: 97.5-97.7
- Frequency: 4
- Cumulative Frequency: 15 (from the previous group) + 4 = 19

7. Temperature Group: 97.8-98
- Frequency: 4
- Cumulative Frequency: 19 (from the previous group) + 4 = 23

8. Temperature Group: 98.1-98.3
- Frequency: 1
- Cumulative Frequency: 23 (from the previous group) + 1 = 24

9. Temperature Group: 98.4-98.6
- Frequency: 1
- Cumulative Frequency: 24 (from the previous group) + 1 = 25

Here's the completed table with cumulative frequencies:

```
\begin{tabular}{|c|c|c|}
\hline
Temperature Group & Frequency & Cumulative Frequency \\
\hline
96-96.2 & 1 & 1 \\
\hline
96.3-96.5 & 3 & 4 \\
\hline
96.6-96.8 & 2 & 6 \\
\hline
96.9-97.1 & 6 & 12 \\
\hline
97.2-97.4 & 3 & 15 \\
\hline
97.5-97.7 & 4 & 19 \\
\hline
97.8-98 & 4 & 23 \\
\hline
98.1-98.3 & 1 & 24 \\
\hline
98.4-98.6 & 1 & 25 \\
\hline
\end{tabular}
```

This completed table shows the cumulative frequency for each temperature group of the 25 samples.

Other Questions